DocumentCode :
922326
Title :
Correlation of a signal with an amplitude-distorted form of itself
Author :
Richardson, John M.
Volume :
20
Issue :
5
fYear :
1974
fDate :
9/1/1974 12:00:00 AM
Firstpage :
598
Lastpage :
601
Abstract :
In comparing a signal 
with its amplitude-distorted form 
, where 
is a monotonically increasing function of its argument, one is led to consider the correlation function begin{equation} R(s) triangleq int_{-infty}^{infty} dtg (f(t))f(t-s). end{equation} A rigorous proof is given of the inequality 
. Generalizations are presented for the cases of finite domains and of signals defined in two-dimensional space.
with its amplitude-distorted form , where is a monotonically increasing function of its argument, one is led to consider the correlation function begin{equation} R(s) triangleq int_{-infty}^{infty} dtg (f(t))f(t-s). end{equation} A rigorous proof is given of the inequality . Generalizations are presented for the cases of finite domains and of signals defined in two-dimensional space.Keywords :
Correlation functions; Image processing; Antennas and propagation; Distortion measurement; Estimation theory; Fast Fourier transforms; Frequency measurement; Information systems; Phased arrays; Radar detection; Signal processing; Stochastic processes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1974.1055283
Filename :
1055283
Link To Document :
