Detection Performance of Normalizer for Multiple Signals Subject to Partially Correlated Fading with Chi-Squared Statistics.
Abstract
The false alarm and detection probabilities for a multi-pulse signal subject to partially correlated fading, in the presence of Gaussian noise of unknown level, are derived in closed form. The number K of signal pulses, as well as the number L of noise-only pulses used to estimate the noise-only pulses used to estimate the noise background power level, are arbitrary. The power-fading is characterized by chi-squared distribution with 2m degrees of freedom and a normalized set of covariance coefficients all of which can be selected arbitrarily, in order to match and experimental realization or an actual measured situation. The performance capability of this processor depends additionally on the received signal-to-noise ratio. This study is an extension of NUSC Technical Report 7707, to cover the case of a nonconstant threshold. Comparison of this normalizer with earlier results (for L = infinity) enable a quantitative evaluation of the losses incurred by lack of knowledge of the noise level. The important capability of constant false alarm rate is achieved by this normalizer.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1987
- Accession Number
- ADA188417
Entities
People
- Albert H. Nuttall
Organizations
- Naval Underwater Systems Center