extra 3 - shown below is normally used. We always assume N...

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1 A Digital Binary System - C C Assume b =1. The transmitted signal is C . The the received signal is y=C+ η 0 PDF for b =1 Basic model: y = bC + . b: the information to be estimated. B = +1 or -1. y : observation. C : a constant. : a Gaussian random variable with mean = 0 and variance = σ 2 . error
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2 Error Probability Pr(error for both b =1) = Q( C / σ ) Pr(error for both b =1) = Q( C / ) Overall error probability = Q( C / ) y C ( b =1) Pr(error for b =1) = Q ( C/ ) -C 0 y C Pr(error for b =-1) = Q ( C/ ) -C ( b =-1)
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3 In engineering, we avoid the use of negative frequency. One side spectrum
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Unformatted text preview: shown below is normally used. We always assume N =2 σ 2 The integration of an AWGN is a Gaussian random variable. You can see noise on a TV when there is no signal: Additive White Gaussian Noise (AWGN) An additive white Gaussian noise n ( t ) is a random process with a flat power spectrum. f 2 Two side power spectrum of an AWGN f N =2σ 2 One side power spectrum of an AWGN...
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This note was uploaded on 01/11/2011 for the course EE 3008 taught by Professor Pingli during the Fall '08 term at City University of Hong Kong.

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extra 3 - shown below is normally used. We always assume N...

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