DocumentCode :
1199949
Title :
Theory of Low-Distortion Reproduction of FM Signals in Linear Systems
Author :
Baghdady, E.
Volume :
5
Issue :
3
fYear :
1958
fDate :
9/1/1958 12:00:00 AM
Firstpage :
202
Lastpage :
214
Abstract :
Certain fundamental aspects of linear-system response to variable-frequency excitations are discussed. A unified argument is presented to simplify the derivation and define the convergence properties of the Carson and Fry and van der Pol-Stumpers expansions. Upper bounds on errors incurred in restricting each expansion to a finite number of terms are derived. This analysis leads to a more complete, more general statement of the conditions for low-distortion transmission and FM-to-AM conversion of FM signals than has heretofore been published. This statement shows that the most significant property of a frequency modulation is its maximum slope, and that the sluggishness properties of a linear system are completely specified by its "sluggishness ratio," | Z , where Z(j{\\omega }) is the system function. Plots of this ratio for various important filters are presented. The newly derived condition for quasi-stationary response is proposed as a more complete criterion for specifying FM system bandwidths, and an analysis of the distortion in the quasi-stationary response is presented.
Keywords :
Frequency; Helium; Linear systems; Mathematical analysis; Nonlinear filters; Signal analysis; Signal design; Signal processing; Steady-state; Transient analysis;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1958.1086474
Filename :
1086474
Link To Document :
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