Approximate band-pass limiter envelope distributions.

by W. L. Doyle, I. S. Reed

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A computation of an approximate distribution for the envelope of sine wave plus noise after passage through a wide-band filter, limiter, and narrow-band filter. As the input bandwidth to the limiter increases, it is shown that the output envelope distribution converges to the usual sine wave in noise envelope distribution, without limiting, but with a definite 1.4-db loss. First-order correction terms are supplied which make it possible to compute first-order statistics for the output envelope when the output signal-to-noise ratio is on the order of one.

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