Title :
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
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;
Conference_Titel :
Signals, Systems and Computers, 2014 48th Asilomar Conference on
Print_ISBN :
978-1-4799-8295-0
DOI :
10.1109/ACSSC.2014.7094796
