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	<title>Durofy &#187; signal operations</title>
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		<title>Signal Operations - Time Shifting, Scaling &amp; Inversion</title>
		<link>http://www.durofy.com/mathematics/signal-operations/</link>
		<comments>http://www.durofy.com/mathematics/signal-operations/#comments</comments>
		<pubDate>Thu, 13 Aug 2009 11:41:38 +0000</pubDate>
		<dc:creator>Rishabh Dev</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[signal operations]]></category>
		<category><![CDATA[Signals & Systems]]></category>
		<category><![CDATA[time inversion]]></category>
		<category><![CDATA[time scaling]]></category>
		<category><![CDATA[time shifting]]></category>

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		<description><![CDATA[Signal Operations are simply modifications to the time variable of the signal to generate new signals. These are pretty similar to the mathematical graphical tranformations from our good old Calculus text. The three kinds of Signal Operations are Time Shifting, Time Scaling &#38; Time Inversion(or Time Reversal) Time Shifting is simply shifting the signal in [...]]]></description>
			<content:encoded><![CDATA[<p>Signal Operations are simply modifications to the time variable of the signal to generate new signals. These are pretty similar to the mathematical graphical tranformations from our good old Calculus text.</p>
<p>The three kinds of Signal Operations are <strong>Time Shifting</strong>, <strong>Time Scaling</strong> &amp; <strong>Time Inversion</strong>(or <strong>Time Reversal</strong>)</p>
<p><strong>Time Shifting is simply shifting the signal in time. When we add a constant to the time, we obtain the advanced signal, &amp; when we decrease the time, we get the delayed signal.</strong></p>
<p style="text-align: center;"><img class="aligncenter" src="https://lh6.googleusercontent.com/-QJJBG9Yjht0/T1QvafMo2sI/AAAAAAAAAi0/V6Fra92ksJI/s497/signals1.jpg" alt="time_shifting" width="497" height="360" /></p>
<p><strong>Time Scaling is compressing or dilating the signal.</strong></p>
<p style="text-align: center;"><img class="aligncenter" src="https://lh3.googleusercontent.com/-RSMYnrvj-i4/T1QveJja4GI/AAAAAAAAAi8/kH7UdNISrJs/s497/signals2.jpg" alt="time_scaling" width="497" height="360" /></p>
<p><strong>Time Inversion is simply flipping the signal about the y-axis.</strong></p>
<p style="text-align: center;"><img class="aligncenter" src="https://lh6.googleusercontent.com/-jTFo-U9zI8g/T1QveMSVNEI/AAAAAAAAAjA/_zFSWHaRwpM/s319/signals3.jpg" alt="time_inversion" width="319" height="301" /></p>
<p>The above operations makes it easy to express a large domain of signals based on the fundamental signals by operation upon the basic signals.</p>
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