Title
Analysis of a Cross Correlator with a Clipper in One Channel
Abbreviated Journal Title
IEEE Trans. Inf. Theory
Abstract
General expressions are derived for the characteristic function and probability density function of the output of a cross crrelator utilizing a hard clipper in one input channel. The inputs are assumed to be A_{1} \cos(\omega_{o}t)+n_{l}(t) and A_{2} \cos(\omega_{o}t+\phi)+n_{2}(t) , where n_{1} and n_{2} are independent narrowband Gaussian noises. From the characteristic function, which is expressed in the form of a Fourier series in the relative phase angle \phi , a double series involving cosines of multiples of \phi and Hermite polynomials of all orders is obtained as the probability density function of the output. Both the characteristic function and the density function pertain to the output at only a single instant of time. The first and second moments of the output are also calculated from the characteristic function, and lead to a closed-form expression for the output signal-to-noise ratio as a function of the input signal-to-noise ratios. Limiting cases of the output signal-to-noise ratio are computed and compared with similar cases involving the more conventional analog correlator without clippers and with the polarity-coincidence correlator.
Journal Title
IEEE Transactions on Information Theory
Volume
26
Issue/Number
6
Publication Date
1-1-1980
Document Type
Letter
Language
English
First Page
743
Last Page
746
WOS Identifier
ISSN
0018-9448
Recommended Citation
Andrews, L. C., "Analysis of a Cross Correlator with a Clipper in One Channel" (1980). Faculty Bibliography 1980s. 965.
https://stars.library.ucf.edu/facultybib1980/965
Comments
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