# The probability distribution of the sum of N sampled baseband outputs of a product detector whose inputs are equal power coherent narrow-band signals in a Gaussian channel

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- Institute of Electrical and Electronics Engineers
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## Abstract

General expressions for the probability distribution and density of the sum of N low-pass filtered outputs of a multiplier whose inputs are coherent, equal power noisy narrowband signals are derived in a finite series form. Graphs of the density for several values of N and two signal-noise ratios are presented and discussed.

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