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    <title>MATLAB Central Newsreader - SNR after matched filter?</title>
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      <pubDate>Wed, 25 Mar 2009 21:20:04 -0400</pubDate>
      <title>SNR after matched filter?</title>
      <link>http://www.mathworks.com/matlabcentral/newsreader/view_thread/247525#637749</link>
      <author>bin </author>
      <description>Dear all,&lt;br&gt;
&lt;br&gt;
I have some questions about SNR after pulse compression.&lt;br&gt;
&lt;br&gt;
1) since noise is a random process, while signal is not, does it mean the power calculation formula is different?  Noise power is calculated using average power, while signal power is calculated using total power?&lt;br&gt;
&lt;br&gt;
noisePower = sum(noise.^2)/length(noise);&lt;br&gt;
signalPower = sum(signal.^2);&lt;br&gt;
&lt;br&gt;
2) If using matched filter to do pulse compression, how many dB in SNR increase theoretically?&lt;br&gt;
&lt;br&gt;
3) Is matched filter just the time reversal of signal, or it need be be normalized? and how to normalized?&lt;br&gt;
&lt;br&gt;
Anyone can give me a simple example of SNR after matched filter compared to SNR before matched filter?&lt;br&gt;
&lt;br&gt;
Thank you very much!&lt;br&gt;
&lt;br&gt;
&amp;nbsp;</description>
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