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(Solved): In data transmission using 8-QAM, the uncorrelated symbols {Am} = {(1+j), j2/3, (-1+j), -2/3, (-1-j) ...



In data transmission using 8-QAM, the uncorrelated symbols {Am} = {(1+j), j2/3, (-1+j), -2/3, (-1-j), -j2/3 , (1-j), 2/3} with P(A1,A2,A3,A4)= 0.15 and
P(A5,A6,A7,A8)=0.1. Determine the variance of the symbols



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To determine the variance of the symbols in 8-QAM (8-Quadrature Amplitude Modulation), we first need to calculate the mean of the symbols.
The mean of a set of symbols can be calculated as:
  
where Am represents the symbols and P(Am) represents their respective probabilities.
Given the uncorrelated symbols and their probabilities:
   P(A1, A2, A3, A4) = 0.15 P(A5, A6, A7, A8) = 0.1
We can calculate the mean as follows:
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