Title :
Measurement of the probability density function of communication signals
Author_Institution :
Dept. de Engenharia Electr., Univ. Fed. de Paraiba, Campina Grande, Brazil
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;
Conference_Titel :
Instrumentation and Measurement Technology Conference, 1989. IMTC-89. Conference Record., 6th IEEE
Conference_Location :
Washington, DC
DOI :
10.1109/IMTC.1989.36913
