A reduced-complexity quadratic structure for the detection of stochastic signals

Author/Creator ORCID

Department

Program

Citation of Original Publication

Poor, H. Vincent, and Chein-I Chang. “A Reduced-complexity Quadratic Structure for the Detection of Stochastic Signals.” The Journal of the Acoustical Society of America 78, no. 5 (November 1, 1985): 1652–57. https://doi.org/10.1121/1.392803.

Rights

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Poor, H. Vincent, and Chein-I Chang. “A Reduced-complexity Quadratic Structure for the Detection of Stochastic Signals.” The Journal of the Acoustical Society of America 78, no. 5 (November 1, 1985): 1652–57. https://doi.org/10.1121/1.392803. and may be found at https://pubs.aip.org/asa/jasa/article/78/5/1652/628146/A-reduced-complexity-quadratic-structure-for-the

Subjects

Abstract

Quadratic detection of discrete-time stochastic signals in additive stationary Gaussian noise is considered. A banded-quadratic detector structure is introduced to reduce the multiplicative complexity and data storage requirements of the optimum full-quadratic detector, and the optimization of this reduced-complexity structure is studied. The issue of performance versus complexity is explored for the specific problems of detecting wide-sense Markov and triangularly correlated signals in white noise, with the conclusion that performance of the reduced complexity detector can be very close to optimum if an adequate quadratic-form bandwidth is chosen.