Title :
Correlation Function and Power Spectrun of Randomly Shaped Pulse Trains
Author :
Leneman, Oscar A.Z.
Author_Institution :
M.I.T. Lincoln Laboratory, Lexington, Mass. 02173
Abstract :
This paper presents a new and simple technique for evaluating the correlation function and the power spectrum of a randomly shaped pulse train defined as y(t) = ¿¿hn(t-tn) n--¿ where the {hn(·)} are random functions that describe the shape of the pulses and where the random occurrence times {tn} constitute a stationary point process. The obtained results are very simple, and various illustrations are given.
Keywords :
Amplitude modulation; Delta modulation; Fourier transforms; Probability density function; Pulse shaping methods; Pulse width modulation; Shape; Space vector pulse width modulation; Statistics; Random pulse trains; stationary point processes;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
DOI :
10.1109/TAES.1967.5408864
