Abstract
ABSTRACT The cross-correlation function at the output of a power-law device is derived when the inputs consist of frequency-modulated signals plus additive noise. Detailed results are given for the case of an ideal limiter, a linear amplifier, a square-law device and a cube-law device. An examination is made of the effect of the device on the peaks of the cross-correlation function for large values of time delay. The effect is measured by the ratio of the normalized output to the normalized input correlation functions. For the case of an ideal limiter the rotative heights of the peaks are increased by a maximum of 12%, and for the square-law and cube-law devices are decreased by 23% and 47 1/2% respectively. The effect of high or low signal-to-noise ratios or the addition of uncorrelated noise to the inputs is to reduce those percentage changes.
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