Fundamentals of Probability Theory (12/12): Received Signal Distribution

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Polar signaling uses a single pulse shape to transmit binary information (i.e. bits) by using positive/negative pulse amplitudes to convey bit information. The receiver can decode the original bit information by sampling the received pulse and decoding to a binary 0 or 1 depending on if the received sample value is negative or positive. This problem derives the density function of the received signal sample values in the presence of additive white Gaussian noise.

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