I.I.D. stochastic analysis of PWM signals

Author

Sevuktekin, Noyan C. ; Singer, Andrew C.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana Champaign, Champaign, IL, USA

fYear

2014

Firstpage

1885

Lastpage

1889

Abstract

A stochastic analysis for pulse width modulation (PWM) is given. Under a discrete random generator process with independent identically distributed (i.i.d.), continuous, range-limited samples, stochastic models for different PWM signals are proposed. Using randomization of the signal starting point, wide sense stationarity (WSS) of proposed PWM signals are shown. Autocorrelation functions and their corresponding power spectrum densities (PSD) are derived in terms of the modified complementary cumulative distribution function of i.i.d samples. For the case where the samples are i.i.d. uniformly distributed, the proposed autocorrelation functions are tested with simulations.

Keywords

correlation methods; pulse width modulation; random processes; stochastic processes; IID stochastic analysis; autocorrelation functions; discrete random generator process; independent identically distributed stochastic analysis; power spectrum density; pulse width modulation; range limited sample; stochastic model; Correlation; Pulse width modulation; Random processes; Random variables; Simulation; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 2014 48th Asilomar Conference on

Print_ISBN

978-1-4799-8295-0

Type

conf

DOI

10.1109/ACSSC.2014.7094796

Filename

7094796