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	<title>Actinica &#187; noise 1/f Fourier transform DSP</title>
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		<title>Fourier Transform of 1/f Noise</title>
		<link>http://www.actinica.com/2009/09/fourier-transform-of-1f-noise/</link>
		<comments>http://www.actinica.com/2009/09/fourier-transform-of-1f-noise/#comments</comments>
		<pubDate>Tue, 29 Sep 2009 18:03:23 +0000</pubDate>
		<dc:creator>Michael Beach</dc:creator>
				<category><![CDATA[math]]></category>
		<category><![CDATA[technical articles]]></category>
		<category><![CDATA[noise 1/f Fourier transform DSP]]></category>

		<guid isPermaLink="false">http://www.actinica.com/?p=490</guid>
		<description><![CDATA[Here's a curious article by Steve Smith, author of The Scientist and Engineer's Guide to Digital Signal Processing, where he shows that 1/f noise is its own Fourier transform!]]></description>
			<content:encoded><![CDATA[<p>Here&#8217;s a curious article by Steve Smith, author of <em>The Scientist and Engineer&#8217;s Guide to Digital Signal Processing</em>, where he shows that <em><strong>1/f noise is its own Fourier transform!</strong></em></p>
<p><a title="An Interesting Fourier Transform" href="http://www.dsprelated.com/showarticle/40.php" target="_blank">link to article \&#8221;An Interesting Fourier Transform &#8211; 1/f Noise\&#8221;</a></p>
<p>I find it much easier to remember complicated ideas when there&#8217;s a clear graph. Smith shows a range of graphs, showing that &#8220;there is an inverse relationship; if the time domain decays faster, then the frequency domain decays slower, and vice-versa. This means that there must be a certain decay rate that is unique, where both domains are equal.&#8221;</p>
<p>Read the article &#8211; the mystery of 1/f noise continues. Perhaps the observation of this mathematical property will point toward learning the physical underpinnings that cause 1/f noise.</p>
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