论文信息 - Approximate band-pass limiter envelope distributions

Approximate band-pass limiter envelope distributions

An approximate distribution is computed for the envelope of sine wave plus noise after passage through a wide-band filter, limiter, and narrow-band filter. It is shown that as the input bandwidth to the limiter increases, the output envelope distribution converges to the usual sine wave in noise envelope distribution, without limiting, but with a definite 1.04 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.

Irving S. Reed | Worthie Doyle | I. Reed | W. Doyle

[1] Lord Rayleigh F.R.S.. XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phase , 1880 .

[2] L. Rayleigh. XXXI. On the problem of random vibrations, and of random flights in one, two, or three dimensions , 1919 .

[3] G. Watson. Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions) , 1923 .

[4] S. Chandrasekhar. Stochastic problems in Physics and Astronomy , 1943 .

[5] M. Slack. The probability distributions of sinusoidal oscillations combined in random phase , 1946 .

[6] W. Davenport. Signal-to-noise ratios in bandpass limiters , 1953 .

[7] Robert Price. A note on the envelope and phase-modulated components of narrow-band Gaussian noise , 1955, IRE Trans. Inf. Theory.

[8] J. W. Tukey,et al. The Measurement of Power Spectra from the Point of View of Communications Engineering , 1958 .

[9] Jess Marcum,et al. A statistical theory of target detection by pulsed radar , 1948, IRE Trans. Inf. Theory.

[10] Phillip A. Bello,et al. Effect of hard limiting on the probabilities of incorrect dismissal and false alarm at the output of an envelope detector , 1961, IRE Trans. Inf. Theory.

[11] E. J. Kelly. THE PHASE PERIODOGRAM DETECTOR , 1961 .