Exact detection probability and fluctuation loss for a partially correlated Rayleigh target
Abstract
Theoretical methods are well known for the determination of the probability of detection for fluctuating and nonfluctuating targets when N pulses of signal pulse noise are integrated incoherently. Previously, correlation of the pulses has been considered to be complete or nonexistent during the integration time. This analysis extends the detection theory to include detection of the sum of N partially correlated pulses. A Rayleigh target whose inphase and quadrature components have exponential correlation is used as the model. The fluctuation loss for a GaussMarkov signal is determined as a function of number of pulses integrated, the correlation between pulses, and the specified detection and false alarm probabilities. This exact loss is compared to Barton's approximation.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1985
 Bibcode:
 1985STIN...8614490K
 Keywords:

 Approximation;
 Detection;
 Radar Targets;
 Rayleigh Waves;
 Target Recognition;
 Warning Systems;
 Correlation;
 Graph Theory;
 Losses;
 Mathematical Models;
 Precision;
 Probability Theory;
 Pulse Radar;
 Signal To Noise Ratios;
 Tables (Data);
 Variations;
 Communications and Radar