Give an expression for the ergodic capacity of the channel

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Reference no: EM13260919

Consider a SISO link with received signal α = hs + n, where h is a zero-mean complex Gaussian random varaible with unit variance, where the power of the data signal s is mathbbE (IsI2) = P, and where n is a zero-mean AWGN scalar with unit variance.

Give an expression for the ergodic capacity of this channel, and show that an upper bound on the ergodic capacity is log2(1 + P) using Jensen's inequality.

Reference no: EM13260919

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