EE_564_F09_HW4_Updated - . Assume equal prior probabilities...

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E E 5 6 4 F a l l 2 0 0 9 Homework #4 Due Wednesday, October 7, 2009 1. “Digital Communications”, 5 th 2. “Digital Communications”, 5 th 3. “Digital Communications”, 5 th 4. Assume in a binary PSK demodulator and detector there is a synchronization error in form of a time bias ݌ܶ, where ܶ is the bit duration and ݌ א ሾ0,1ሿ is a relative time offset with respect to ܶ. This synchronization error results in a shift in the integral, i.e., instead of ׬ ሺ. ሻ , there will be ׬ ሺ. ሻ ௣்ା்
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Unformatted text preview: . Assume equal prior probabilities and perfect phase and frequency synchronization in the coherent detection. a) Find the general form of error probability as a function of . Assume the noise variance is /2 and signal energy is . b) For 1/5 and / 10 , find and compare it to the case when 0. c) When 1/5, how much in dB should you increase the signal energy () to achieve the same error probability as when 0 and / 10 ? (You may need a computer to find the answer.)...
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