Probability Densities of the Smoothed ‘ Random Telegraph Signal ’†
- 1 June 1958
- journal article
- control section
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 4 (6) , 567-576
- https://doi.org/10.1080/00207215808953881
Abstract
The problem treated is that of finding the probability distribution of the output from a simple resistance-capacity smoothing network when the input is a sequence of random square waves generated by a Poisson process. The moments of the first probability distribution are obtained and the density function derived. The results suggest a convenient experimental method for generating low frequency noise with Gaussian, rectangular, parabolic or elliptical probability density functions. An incidental result gives the higher-order autocorrelation functions of the random square-wave input.Keywords
This publication has 2 references indexed in Scilit:
- Mathematical Analysis of Random NoiseBell System Technical Journal, 1944
- XIX.The analysis of irregular motions with applications to the energy-frequency spectrum of static and of telegraph signalsJournal of Computers in Education, 1929