https://lavryengineering.com/wiki/index.php?title=Waveform&feed=atom&action=historyWaveform - Revision history2024-03-28T22:58:15ZRevision history for this page on the wikiMediaWiki 1.35.1https://lavryengineering.com/wiki/index.php?title=Waveform&diff=1401&oldid=prevBrad Johnson at 23:22, 18 May 20172017-05-18T23:22:33Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:22, 18 May 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Line 20:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same polarity. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same <ins class="diffchange diffchange-inline">[[</ins>polarity<ins class="diffchange diffchange-inline">]]</ins>. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude, “in-phase” with the original waves. The positive half cycle of each waveform would ''add'' to make a positive half cycle with twice the positive amplitude value, and the negative half cycles would subtract to make a negative half-cycle with twice the negative value.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude, “in-phase” with the original waves. The positive half cycle of each waveform would ''add'' to make a positive half cycle with twice the positive amplitude value, and the negative half cycles would subtract to make a negative half-cycle with twice the negative value.</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=1084&oldid=prevBrad Johnson at 23:18, 28 January 20142014-01-28T23:18:26Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:18, 28 January 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27" >Line 27:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same polarity'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (180 degrees, 540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same <ins class="diffchange diffchange-inline">[[</ins>polarity<ins class="diffchange diffchange-inline">]]</ins>'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (180 degrees, 540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed the result would be no signal, because they would cancel each other completely. The negative half cycle of the second waveform would subtract from the positive half cycle of the first waveform, and in the second half cycle; the negative half cycle of the first waveform would subtract from the positive half cycle of the second waveform.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed the result would be no signal, because they would cancel each other completely. The negative half cycle of the second waveform would subtract from the positive half cycle of the first waveform, and in the second half cycle; the negative half cycle of the first waveform would subtract from the positive half cycle of the second waveform.</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=917&oldid=prevBrad Johnson at 20:35, 28 August 20122012-08-28T20:35:12Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:35, 28 August 2012</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same polarity'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same polarity'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (<ins class="diffchange diffchange-inline">180 degrees, </ins>540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed the result would be no signal, because they would cancel each other completely. The negative half cycle of the second waveform would subtract from the positive half cycle of the first waveform, and in the second half cycle; the negative half cycle of the first waveform would subtract from the positive half cycle of the second waveform.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed the result would be no signal, because they would cancel each other completely. The negative half cycle of the second waveform would subtract from the positive half cycle of the first waveform, and in the second half cycle; the negative half cycle of the first waveform would subtract from the positive half cycle of the second waveform.</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=916&oldid=prevBrad Johnson at 20:33, 28 August 20122012-08-28T20:33:52Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:33, 28 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22" >Line 22:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same polarity. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same polarity. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude, “in-phase” with the original waves.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude, “in-phase” with the original waves<ins class="diffchange diffchange-inline">. The positive half cycle of each waveform would ''add'' to make a positive half cycle with twice the positive amplitude value, and the negative half cycles would subtract to make a negative half-cycle with twice the negative value</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l29" >Line 29:</td>
<td colspan="2" class="diff-lineno">Line 29:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same polarity'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the ''same polarity'' or “in-phase” and of ''opposite polarity'' (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and polarity is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed<del class="diffchange diffchange-inline">, </del>the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed the result would be no signal<ins class="diffchange diffchange-inline">, </ins>because they would cancel each other completely. <ins class="diffchange diffchange-inline">The negative half cycle of the second waveform would subtract from the positive half cycle of the first waveform, and in the second half cycle; the negative half cycle of the first waveform would subtract from the positive half cycle of the second waveform.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Music wave graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Music wave graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=915&oldid=prevBrad Johnson at 20:24, 28 August 20122012-08-28T20:24:46Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:24, 28 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16" >Line 16:</td>
<td colspan="2" class="diff-lineno">Line 16:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Sine 2 wave in-phase graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Sine 2 wave in-phase graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The scale for the blue sine wave has been offset slightly to make it possible to see the two waves as separate. Each waveform is two complete cycles, each consisting of an initial <del class="diffchange diffchange-inline">‘’positive </del>half <del class="diffchange diffchange-inline">cycle’’ </del>(above the horizontal centerline) and a <del class="diffchange diffchange-inline">‘‘negative </del>half <del class="diffchange diffchange-inline">cycle’’ </del>below the centerline. It is easy to see the relationship of the period to the frequency as the period of one cycle is 1 millisecond (one one-thousandth of a second) for a 1000 cycle-per-second (or one kilo-Hertz) sine wave.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The scale for the blue sine wave has been offset slightly to make it possible to see the two waves as separate. Each waveform is two complete cycles, each consisting of an initial <ins class="diffchange diffchange-inline">''positive </ins>half <ins class="diffchange diffchange-inline">cycle'' </ins>(above the horizontal centerline) and a <ins class="diffchange diffchange-inline">''negative </ins>half <ins class="diffchange diffchange-inline">cycle'' </ins>below the centerline. It is easy to see the relationship of the period to the frequency as the period of one cycle is 1 millisecond (one one-thousandth of a second) for a 1000 cycle-per-second (or one kilo-Hertz) sine wave.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=914&oldid=prevBrad Johnson at 20:23, 28 August 20122012-08-28T20:23:29Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:23, 28 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16" >Line 16:</td>
<td colspan="2" class="diff-lineno">Line 16:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Sine 2 wave in-phase graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Sine 2 wave in-phase graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The scale for the blue sine wave has been offset slightly to make it possible to see the two waves as separate. Each <del class="diffchange diffchange-inline">one </del>is two complete cycles. It is easy to see the relationship of the period to the frequency as the period of one cycle is 1 millisecond (one one-thousandth of a second) for a 1000 cycle-per-second (or one kilo-Hertz) sine wave.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The scale for the blue sine wave has been offset slightly to make it possible to see the two waves as separate. Each <ins class="diffchange diffchange-inline">waveform </ins>is two complete cycles<ins class="diffchange diffchange-inline">, each consisting of an initial ‘’positive half cycle’’ (above the horizontal centerline) and a ‘‘negative half cycle’’ below the centerline</ins>. It is easy to see the relationship of the period to the frequency as the period of one cycle is 1 millisecond (one one-thousandth of a second) for a 1000 cycle-per-second (or one kilo-Hertz) sine wave.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Period = 1/frequency</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=906&oldid=prevBrad Johnson at 22:32, 27 August 20122012-08-27T22:32:03Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:32, 27 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27" >Line 27:</td>
<td colspan="2" class="diff-lineno">Line 27:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Sine_2_wave_out-of-phase_graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the same polarity or “in-phase” and of opposite <del class="diffchange diffchange-inline">Polarity </del>(the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and <del class="diffchange diffchange-inline">Polarity </del>is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the <ins class="diffchange diffchange-inline">''</ins>same polarity<ins class="diffchange diffchange-inline">'' </ins>or “in-phase” and of <ins class="diffchange diffchange-inline">''</ins>opposite <ins class="diffchange diffchange-inline">polarity'' </ins>(the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and <ins class="diffchange diffchange-inline">polarity </ins>is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain.</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l33" >Line 33:</td>
<td colspan="2" class="diff-lineno">Line 33:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Music wave graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File: Music wave graph.png|800px|Two 1kHz sine waves “in-phase”]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>This is a “snapshot” of a brief section of a music waveform that contains many different frequencies in different phase relationships to each other.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>This is a “snapshot” of a brief section of a music waveform that contains many different frequencies in different phase relationships to each other<ins class="diffchange diffchange-inline">. Please note that the time scale has been change from the sine wave graphs to show a range of frequencies. Careful observation shows what appear to be sections of sine waves superimposed on the peaks or valleys of large waves. This is a good illustration of how the phase relationship of the higher frequency waves determines whether they ''add or subtract'' from the shape of the larger (lower frequency) waves</ins>. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=905&oldid=prevBrad Johnson at 22:24, 27 August 20122012-08-27T22:24:00Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:24, 27 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l29" >Line 29:</td>
<td colspan="2" class="diff-lineno">Line 29:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the same polarity or “in-phase” and of opposite Polarity (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and Polarity is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the same polarity or “in-phase” and of opposite Polarity (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and Polarity is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain. </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the larger signal would remain<ins class="diffchange diffchange-inline">.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[File: Music wave graph.png|800px|Two 1kHz sine waves “in-phase”]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">This is a “snapshot” of a brief section of a music waveform that contains many different frequencies in different phase relationships to each other</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=903&oldid=prevBrad Johnson at 22:17, 27 August 20122012-08-27T22:17:49Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:17, 27 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l29" >Line 29:</td>
<td colspan="2" class="diff-lineno">Line 29:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the same polarity or “in-phase” and of opposite Polarity (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and Polarity is absolute (“normal” or “inverted”).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are either “out-of-phase” and of the same polarity or “in-phase” and of opposite Polarity (the red sine wave can be seen as having inverted polarity). Because it is not possible to see the instant when these two sine waves began; it is not possible to determine their phase relationship. For example; they could either be in-phase and of opposite polarity, or 180 plus (N) times 360 degrees out-of-phase (540 degrees, 900 degrees, 1,260 degrees; etc.) This is a good illustration of how phase is relative (a difference in timing) and Polarity is absolute (“normal” or “inverted”).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the <del class="diffchange diffchange-inline">large </del>signal would remain. </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Because they are perfectly “out-of-phase” with each other (or of opposite polarity); if these two sine waves were summed, the result would be no signal because they would cancel each other completely. Even a small difference in amplitude would result in a sine wave of the same frequency with an amplitude equal to the difference (in amplitude) and phase matching the larger of the two sine waves. In other words, the “phase cancellation” would not be complete, and some of the <ins class="diffchange diffchange-inline">larger </ins>signal would remain. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Terminology]]</div></td></tr>
</table>Brad Johnsonhttps://lavryengineering.com/wiki/index.php?title=Waveform&diff=902&oldid=prevBrad Johnson at 22:17, 27 August 20122012-08-27T22:17:10Z<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
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<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:17, 27 August 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22" >Line 22:</td>
<td colspan="2" class="diff-lineno">Line 22:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same polarity. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>These two sine waves are “in-phase” and of the same polarity. Although Phase is a time domain difference between two audio waveforms; it is typically referred to in the number of degrees of difference. This is because each cycle of a periodic waveform contains 360 degrees; regardless of the frequency. For example; the period of a 2kHz sine wave is exactly one-half the time value of a 1kHz waveform; but they both are exactly at one-half a cycle 180 degrees from when they start.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A zero difference in time means the two waveforms are perfectly “in-phase.” If these two sine waves were summed (or “mixed”) at the same level; the result would be a sine wave at the same frequency with twice the amplitude<ins class="diffchange diffchange-inline">, “in-phase” with the original waves</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>Brad Johnson