Consider a binary communications system that receives equally likely signals (b) s1(t) and s2(t) shown in Fig Q5b plus AWGN. Assume the receiving filter is a matched filter and that the noise power spectral density No is 1012 W/Hz. Compute the bit error probability of this system. (millivolts) sz(t) (millivolts) 0 123 (us) -1 t(us) 0123

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(a)
Determine the constant A such that the functions y (t) and w2(t) given below are
orthogonal over the interval (-0,0).
wı(t) = exp (- |t|) and w2(t) = 1- A exp (- 2|t|)
(b) Consider a binary communications system that receives equally likely signals
sı(t) and s2(t) shown in Fig Q5b plus AWGN. Assume the receiving filter is a
matched filter and that the noise power spectral density No is 1012 W/Hz.
Compute the bit error probability of this system.
s2(t)
(millivolts)
s(t)
(millivolts)
0123
t (us)
-1
-2
t (us)
0 1 2 3
Transcribed Image Text:(a) Determine the constant A such that the functions y (t) and w2(t) given below are orthogonal over the interval (-0,0). wı(t) = exp (- |t|) and w2(t) = 1- A exp (- 2|t|) (b) Consider a binary communications system that receives equally likely signals sı(t) and s2(t) shown in Fig Q5b plus AWGN. Assume the receiving filter is a matched filter and that the noise power spectral density No is 1012 W/Hz. Compute the bit error probability of this system. s2(t) (millivolts) s(t) (millivolts) 0123 t (us) -1 -2 t (us) 0 1 2 3
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