ON THE DETECTION OF A RANDOMLY DISTORTED SIGNAL IN GAUSSIAN NOISE
Abstract
The problem considered is that of designing a likelihood ratio receiver for detection of a signal that has been distorted by a randomly varying transmission loss and subsequently masked by an additive Gaussian noise. A general likelihood ratio receiver design was found whose form was the same for a wide class of random multipliers which includes the Pearson Type III, Rayleigh, and truncated Gaussian distribution. The optimum receiver was evaluated for the two-input-samples case using a digital computer. The results reinforced theoretical work which indicated that the effect of the multiplicative noise could be minimized by spreading the signal energy equally among the samples. Various facets of the performance of two nonoptimum receivers, the crosscorrelator and the clipper crosscorrelator, were also evaluated using the computer. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1962
- Accession Number
- AD0291982
Entities
People
- L. Halsted
- L.w. Nolte
- T.g. Birdsall
Organizations
- University of Michigan