Title :
Minimax detection for signals with unknown parameters
Author :
Hanson, Grant A. ; Iltis, Ronald A. ; Kenney, Chaiues
Author_Institution :
Naval Air Dev. Center, China Lake, CA, USA
fDate :
10/1/1998 12:00:00 AM
Abstract :
Minimax detectors are often used for the detection of signals with unknown parameters in additive white Gaussian noise. Several minimax strategies are discussed for both real and complex signals, including one based on the least favorable distribution of the unknown parameters and a second, distribution-free method based on the worst case parameter values. Also discussed are the relationships between these minimax detectors and equal correlation filters for real signals and equal deflection quadratic detectors for complex signals. Conditions are given under which the two different minimax strategies produce identical detectors
Keywords :
Gaussian noise; Hermitian matrices; discrete time filters; filtering theory; minimax techniques; quadratic programming; signal detection; white noise; Hermitian matrix; additive white Gaussian noise; complex signals; distribution-free method; equal correlation filters; equal deflection quadratic detectors; least favorable distribution; minimax detection; minimax strategies; quadratic programming; real signals; signals with unknown parameters; worst case parameter values; Additive white noise; Computer networks; Detectors; Matched filters; Military computing; Minimax techniques; Robustness; Signal detection; Signal to noise ratio; Testing;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
