7CCSMCTH Communications Theory Homework#3
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7CCSMCTH
Communications Theory
Homework#3
1) The channel given in homework#1 and #2 , i.e.,
p(t) = - sin c + 1 + sin c - sin c ,
is used for QAM transmission with Ex = 1 and SNR MFB = 10dB .
Find WMMSE -DFE (D), B(D), GMMSE -DFE , and SNR MMSE -DFE .
2) Binary PAM data is transmitted through a multi-path channel with impulse response h(t) = 6(t)+1.86(t - 1)+ 0.816(t - 2)).
The modulator uses basis function Q(t) = 1 sin c(| t )| with T = 1 . Assume N0 = 0.01 .
a) Find the channel pulse response p(t) , p(t) 2 , SNR MFB and the function Q(D) which characterises the ISI.
b) Find the MMSE-LE and corresponding SNR.
c) Find the MMSE-DFE and compute the corresponding SNR.
d) Find the ZF-DFE and the corresponding SNR and loss with respect to SNR MFB .
2023-04-14