3. The signal constellation for M-ary PAM is of the form +(2k+1) A for 0

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3. The signal constellation for M-ary PAM is of the form +(2k+1) A for 0 <k<(-1), where
ii.
iii.
M is an even number and A=
where P is the average symbol power. Consider
M = 4 and assume equal probability for transmission of each symbol to answer the question
that follow.
i. Complete the average energy of the constellation. Assume all the alphabets are equally linearly
distribution.
3P
(4M²-1)
400
Find the expression for the bit error rate over an AWGN channel for the 4-ary constellation as
a function of the average symbol power p and noise power o2
Find the average power p required to achieve a probability of bit error 106 in an AWGN
channel with noise power o2 = -3 dB.
Transcribed Image Text:3. The signal constellation for M-ary PAM is of the form +(2k+1) A for 0 <k<(-1), where ii. iii. M is an even number and A= where P is the average symbol power. Consider M = 4 and assume equal probability for transmission of each symbol to answer the question that follow. i. Complete the average energy of the constellation. Assume all the alphabets are equally linearly distribution. 3P (4M²-1) 400 Find the expression for the bit error rate over an AWGN channel for the 4-ary constellation as a function of the average symbol power p and noise power o2 Find the average power p required to achieve a probability of bit error 106 in an AWGN channel with noise power o2 = -3 dB.
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