학술논문

Design and Analysis of Invariant Receivers for Gaussian Targets
Document Type
Periodical
Source
IEEE Journal of Selected Topics in Signal Processing IEEE J. Sel. Top. Signal Process. Selected Topics in Signal Processing, IEEE Journal of. 9(8):1560-1569 Dec, 2015
Subject
Signal Processing and Analysis
Covariance matrices
Radar cross-sections
Interference
Receivers
Radar detection
Adaptive radar detection
constant false alarm rate
invariance
maximal invariants
persymmetry
Swerling models
Language
ISSN
1932-4553
1941-0484
Abstract
The purpose of this paper is to elaborate on the invariant framework proposed in “An invariant approach to adaptive radar detection under covariance persymmetry” (A. De Maio and D. Orlando, IEEE Trans. Signal Processing, vol. 63, no. 5, pp. 1297–1309, May 2015) so as to account for target fluctuations at the design stage. To this end, we assume that the radar cross section of the target is ruled by an exponential distribution (Swerling 1 target model) and derive the complete statistical characterization of a maximal invariant statistic. Hence, we exploit the obtained probability density functions to synthesize both the optimum and the locally optimum (in the low Signal-to-Interference-plus-Noise Ratio regime) invariant receivers. Finally, we discuss some invariant sub-optimum decision rules based on theoretically solid design criteria and analyze their performances in comparison with the benchmark invariant test.