Measurement of the probability density function of communication signals

Author

Alencar, M.S.

Author_Institution

Dept. de Engenharia Electr., Univ. Fed. de Paraiba, Campina Grande, Brazil

fYear

1989

fDate

25-27 Apr 1989

Firstpage

513

Lastpage

516

Abstract

A method for estimating and measuring the probability density function (PDF) of random signals is derived. The method is based on a new representation of P.M. Woodward´s theorem (1952), and has been tested in practice with good results. A new proof of Woodward´s theorem is presented which includes the linear mean-square estimator and an upper bound on the error of the estimation based on Papoulis´ inequality. The experimental setup for measuring the PDF is a simple one, consisting of a frequency modulation and a spectrum analyzer. The theory assures an error smaller than 0.08% for a modulating index of ten or more

Keywords

estimation theory; frequency modulation; probability; random processes; spectral analysers; spectral analysis; Papoulis´ inequality; communication signals; error; estimation; frequency modulation; linear mean-square estimator; modulating index; probability density function; random signals; spectrum analyzer; upper bound; Amplitude modulation; Computer aided software engineering; Density functional theory; Density measurement; Frequency; Noise generators; Oils; Phase modulation; Probability density function; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation and Measurement Technology Conference, 1989. IMTC-89. Conference Record., 6th IEEE

Conference_Location

Washington, DC

Type

conf

DOI

10.1109/IMTC.1989.36913

Filename

36913