Output Probability Density Functions for Cross Correlators Utilizing Sampling Techniques

Abstract

Sampling techniques provide a practical means of obtaining cross-correlation functions. In this paper, the correlation function is described by sums of the form Z = N 1 X.YK. A general expression is derived for the probability density function of the random variable Z under the condition that X. and Y. are stationary, jointly Gaussian random processes with nonzero means and unit variances.

Automatic Methods in Image Processing and Their Relevance to Map-Making.

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The Output Pdf of a Polarity Coincidence Correlation Detector

“…The application of correlation techniques to the processing of signals embedded in additive random noise is well known in the field of communication theory [1] - [3] The use of sampling correlators has been discussed by Lee, Cheatham, and Wiesner [1], Roe and White [4], and Andrews [5], while analog correlators have been treated by Fano [6], Lampard [7], Cooper [8], and Andrews [9], among others. The polarity coincidence correlator (PCC) offers a very practical method of performing correlation analysis because of the great reduction in complexity of the hardware.…”