DocumentCode :
907817
Title :
Stationary phase approximations of FM spectra
Author :
De Buda, R.
Volume :
12
Issue :
3
fYear :
1966
fDate :
7/1/1966 12:00:00 AM
Firstpage :
305
Lastpage :
311
Abstract :
An approximation of the Fourier transform of an FM signal with modulation index 
is calculated by a stationary phase method. When 
the error of amplitude and phase converges to zero, 
. If the spectrum obtained by the approximation is smoothed over a frequency interval equal to several bandwidths of the modulation, then the well-known adiabatic approximation of the FM spectrum is obtained. If the signal has hidden periodicities, the adiabatic approximation destroys the spectral fine structure, but the spectral lines can be calculated from the approximation formula when used without smoothing.
is calculated by a stationary phase method. When the error of amplitude and phase converges to zero, . If the spectrum obtained by the approximation is smoothed over a frequency interval equal to several bandwidths of the modulation, then the well-known adiabatic approximation of the FM spectrum is obtained. If the signal has hidden periodicities, the adiabatic approximation destroys the spectral fine structure, but the spectral lines can be calculated from the approximation formula when used without smoothing.Keywords :
FM modulation/demodulation; Fourier transforms; Phase estimation; Spectral analysis; Bandwidth; Estimation theory; Frequency modulation; Information theory; Parameter estimation; Phase estimation; Phase modulation; Smoothing methods; Statistics; Stochastic processes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1966.1053895
Filename :
1053895
Link To Document :
