ON THE DISTRIBUTION OF THE PRODUCT OF DIODE DETECTOR WAVEFORMS

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Abstract
The probability distribution of the product of two waveforms such as come from the diode second detectors of radio receivers is examined over the whole range of signal to noise ratios. Computed curves of probability density are given for small and moderate values of signal to noise ratio and the limiting form for large signal to noise indicated. The pure noise case is the only one immediately available in terms of tabulated functions. Compared to the Rayleigh distribution it rises much faster, reaches its maximum sooner and lower, and decays much more slowly. The very large signal to noise ratio case approaches an impulse function. Estimates of mean and variance are given.

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