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Frequency and spatial correlation functions in a fading communication channel through the ionosphere
Author(s) -
Liu C. H.,
Yeh K. C.
Publication year - 1975
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs010i012p01055
Subject(s) - mutual coherence , fading , spatial correlation , coherence (philosophical gambling strategy) , mathematics , position (finance) , distortion (music) , mathematical analysis , statistical physics , physics , statistics , telecommunications , computer science , bandwidth (computing) , amplifier , decoding methods , finance , economics
Equations for the two‐frequency two‐position mutual coherence functions are derived under the usual parabolic and Markov approximations. These equations are then solved numerically. It is shown that the mutual coherence functions occur naturally in the study of pulse distortion through a random communication channel and in the investigation of signal correlations. Contour plots of correlation functions show the possibility of having equal values at two frequency separations for a given spatial separation. This behavior is explainable in terms of overlapping Fresnel zones.