Consider the M-ary signal given by
Consider the M-ary signal given by:Β
ππ(π‘)=β2πΈπ /ππ cos(2ππππ‘+2ππ(πβ1))
0β€π‘β€ππ and i=1, 2β¦M
Where Es is the symbol energy and Ts is the symbol duration. M is the number of symbols. The carrier frequency fc=n/Ts, where n is an integer.
a) If M=8 sketch the output signals in the signal space.
b) Draw the DBs and DRs and find the distance between the signals.
c) Calculate the average transmitted energy.
d) Suggest a coherent receiver for this system.
e) Given that E = 4 J, Calculate the average probability of error Pav[e] if the noise is AWGN with zero mean and two-sided PSD No/2 = 1 W/Hz.
f) What is the value (Es) required to achieve Pav[e] = 10-3?
g) Write down an expression for the PSD of the M-ary PSK system. What happens if M increases
Homework Answers
The carrier frequency fc is equal to n/Ts for some fixed integer n.
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