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Spectral Characteristics of FDM-FM Signals

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1 Author(s)
Ferris, C. ; Commun. Sys. Lab. of Sylvania Elec. Sys., Waltham, USA

The power spectrum of a sinusoidal carrier which is frequency modulated by a normally distributed baseband signal may be expanded as a sum of weighted convolution terms. The significant parameter in the expansion, for an ideally bandlimited baseband spectrum, isR_{x}(0) = R_{dot{x}}(0)/fminfmax whereR_{dot{x}}(0)is the mean squared frequency deviation andfmin andfmax are the lower and upper frequency limits of the baseband spectrum. For small values ofR_{x}(0), the spectrum may be approximated using the baseband and the carrier. For largeR_{x}(0), the spectrum is asymptotically Gaussian. We have computed spectra on a digital computer for intermediate values ofR_{x}(0). In all computations, the spectra are approximated by ten convolution terms, defining the carrier component as the first term. Computations are forR_{x}(0) = 1, 2, 3, 4, 5for a rectangular baseband spectrum with no pre-emphasis and with CCIR pre-emphasis. The results are for typical multichannel FDMFM bands 12 to 36 kHz, 12 to 60 kHz, 12 to 156 kHz, and 12 to 252 kHz.

Published in:

Communication Technology, IEEE Transactions on  (Volume:16 ,  Issue: 2 )

Date of Publication:

April 1968

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