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	<id>https://lavryengineering.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Data_compression</id>
	<title>Data compression - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://lavryengineering.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Data_compression"/>
	<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;action=history"/>
	<updated>2026-05-19T08:13:17Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1656&amp;oldid=prev</id>
		<title>Brad Johnson at 01:43, 2 March 2019</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1656&amp;oldid=prev"/>
		<updated>2019-03-02T01:43:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:43, 2 March 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot; &gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/del&gt;perceptual coding&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/del&gt;. By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot;&lt;/ins&gt;perceptual coding.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot; &lt;/ins&gt;By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1655&amp;oldid=prev</id>
		<title>Brad Johnson at 01:42, 2 March 2019</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1655&amp;oldid=prev"/>
		<updated>2019-03-02T01:42:10Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:42, 2 March 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot; &gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing [[perceptual coding&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;.&lt;/del&gt;]] By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing [[perceptual coding]]&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. &lt;/ins&gt;By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1654&amp;oldid=prev</id>
		<title>Brad Johnson at 01:41, 2 March 2019</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=1654&amp;oldid=prev"/>
		<updated>2019-03-02T01:41:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:41, 2 March 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot; &gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot;&lt;/del&gt;perceptual coding.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot; &lt;/del&gt;By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;perceptual coding.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Terminology]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Audio conversion]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=295&amp;oldid=prev</id>
		<title>Brad Johnson at 23:51, 29 February 2012</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=295&amp;oldid=prev"/>
		<updated>2012-02-29T23:51:26Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:51, 29 February 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l7&quot; &gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &amp;quot;perceptual coding.&amp;quot; By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &amp;quot;perceptual coding.&amp;quot; By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Terminology]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category: Audio conversion]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=67&amp;oldid=prev</id>
		<title>Brad Johnson at 00:49, 7 January 2012</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=67&amp;oldid=prev"/>
		<updated>2012-01-07T00:49:26Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:49, 7 January 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;==Overview==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;==Overview==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The term &amp;lt;nowiki&amp;gt;&amp;quot;data compression&amp;quot;&amp;lt;/nowiki&amp;gt; is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data compression- [[lossy]] and [[lossless]].&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The term &amp;lt;nowiki&amp;gt;&amp;quot;data compression&amp;quot;&amp;lt;/nowiki&amp;gt; is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data compression- [[lossy]] and [[lossless]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Basics==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Due to real-world limitations on data storage space and bandwidth limitations in transmission, it is often desirable to reduce the size of data files. In some instances; any change to the data is not acceptable and in other cases a close approximation of the information is considered acceptable.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For data that must be preserved intact, lossless data compression can be use to reduce the size of a file with some limitations. The total possible reduction is limited by a number of factors, including the amount of &amp;quot;redundant&amp;quot; information in the file and how quickly the file must be processed. For this reason, files containing text can be reduced significantly while files such as images or audio are less likely to gain much reduction in size using lossless compression.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In the quest for higher levels of data compression for audio applications in telecommunications; research in the perception of audio resulted in a form of data compression employing &amp;quot;perceptual coding.&amp;quot; By applying signal processing based on how the human mind perceives audio; varying amounts of the original audio information can be discarded while retaining the over-all character of the original signal. This type of data compression is referred to as &amp;quot;lossy&amp;quot; because some of the original information is &amp;quot;lost&amp;quot; in the process. The quality of the results vary with the level of compression, the complexity of the audio, and the discrimination of the listener. For example; what might be considered &amp;quot;acceptable&amp;quot; for voice communication over a telephone might not be considered acceptable for music applications.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=65&amp;oldid=prev</id>
		<title>Brad Johnson at 00:26, 7 January 2012</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=65&amp;oldid=prev"/>
		<updated>2012-01-07T00:26:32Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:26, 7 January 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;==Overview==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;==Overview==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The term &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/del&gt;&amp;quot;data compression&amp;quot;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/del&gt;is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data compression- lossy and lossless.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The term &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;nowiki&amp;gt;&lt;/ins&gt;&amp;quot;data compression&amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/nowiki&amp;gt; &lt;/ins&gt;is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data compression- &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;lossy&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;lossless&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
	<entry>
		<id>https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=64&amp;oldid=prev</id>
		<title>Brad Johnson: Created page with &quot;==Overview== The term &quot;data compression&quot; is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data com...&quot;</title>
		<link rel="alternate" type="text/html" href="https://lavryengineering.com/wiki/index.php?title=Data_compression&amp;diff=64&amp;oldid=prev"/>
		<updated>2012-01-07T00:25:52Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;==Overview== The term &lt;a href=&quot;/wiki/index.php?title=%22data_compression%22&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;&amp;quot;data compression&amp;quot; (page does not exist)&quot;&gt;&amp;quot;data compression&amp;quot;&lt;/a&gt; is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data com...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Overview==&lt;br /&gt;
The term [[&amp;quot;data compression&amp;quot;]] is used to describe a method by which information in a file is manipulated to produce a smaller file. There are two types of data compression- lossy and lossless.&lt;/div&gt;</summary>
		<author><name>Brad Johnson</name></author>
	</entry>
</feed>