In a binary equally probable digital system messages so(t) and s, (t) are transmitted over an AWGN channel with noise power spectral density No/2. The messages are: 2E. cos(wot) + T so(t) sin(wot); 0

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Digital Communication
In a binary equally probable digital system messages so(t) and s, (t) are transmitted over
an AWGN channel with noise power spectral density No/2. The messages are:
2E.
cos(wot) +
T
so(t)
sin(wot);
0<t<T
2E1
S1 (t)
cos(wot) +
T
sin(wot);
0<t<T
where E < E.
a) Find the set forthonormal functions to represent the system.
b) Derive and sketch the optimal decision regions.
c) Derive the bit error rate of the system in terms of the Q function
Transcribed Image Text:In a binary equally probable digital system messages so(t) and s, (t) are transmitted over an AWGN channel with noise power spectral density No/2. The messages are: 2E. cos(wot) + T so(t) sin(wot); 0<t<T 2E1 S1 (t) cos(wot) + T sin(wot); 0<t<T where E < E. a) Find the set forthonormal functions to represent the system. b) Derive and sketch the optimal decision regions. c) Derive the bit error rate of the system in terms of the Q function
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