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Accession Number:
AD0441214
Title:
BANDWIDTH AND SPECTRA OF PHASE- AND FREQUENCYMODULATED WAVES,
Descriptive Note:
Corporate Author:
STANFORD UNIV CA STANFORD ELECTRONICS LABS
Report Date:
1962-10-01
Pagination or Media Count:
21.0
Abstract:
The spectrum of a cosine angle-modulated by a Gaussian random process GRP of almost arbitrary spectrum is investigated. Such a GRP provides a convenient model for voice signals, TV signals, and other types of complex communication signals. A simple closed form expression for the bandwidth of the modulated signal in terms of the bandwidth of the modulating signal is found. A general expansion for the shape of the spectrum of the modulated cosine is derived.. In addition to reducing, in certain limiting situations, to known results, this expansion provides a practical means of obtaining the spectrum in intermediate cases. Examples are presented showing the spectrum of a cosine modulated by 1 a lowpass GRP with rectangular spectrum, and 2 a bandpass GRP of Gaussian spectrum. Author
Distribution Statement:
APPROVED FOR PUBLIC RELEASE