Detection Performance Characteristics for a System with Quantizers, Or-ing, and Accumulator
Abstract
The false alarm and detection probabilities of an N-channel system subject ot L+1 level quantization, or or-ing, and accumulation of M time samples, are evaluated exactly, with no Gaussian assumptions, for arbitrary values fo N, L, M, and for a quantizer with arbitrary breakpoint locations. The channel noises are independent but can have arbitrary statistics. The signal occupies one unknown (possibly changing) channel, if present. Two FFTs suffice to sweep out a complete detection probability vs. threshold curve. The optimum placement of quantizere breakpoints, for a fixed total number of levels, L+1, is a subtle one is shown to depend on N, M, and the desired level of performance; a simple rule-of-thumb is presented which yields near-optimum capability over the useful range of the operating characteristics. A brief comparison with the optimum processor is made.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1982
- Accession Number
- ADA120794
Entities
People
- Albert H. Nuttall
Organizations
- Naval Underwater Systems Center