What is the minimum required signal-to-noise ratio

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Each sample of a Gaussian memory less source has a variance equal to 4, and the source produces 8000 samples per second. The source is to be transmitted via an additive white Gaussian noise channel with a bandwidth equal to 4000 Hz, and it is desirable to have a distortion per sample not exceeding 1 at the destination (assume squared-error distortion).

1. What is the minimum required signal-to-noise ratio of the channel?

2. If it is further assumed that, on the same channel, a BPSK scheme is employed with hard decision decoding, what will be the minimum required channel signal-to-noise ratio? Note: the signal-to-noise ratio of the channel is defined by .

Reference no: EM131326451

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