An approximate method in signal detection

Freiberger, Walter F.

doi:10.1090/qam/139498

Author: Walter F. Freiberger
Journal: Quart. Appl. Math. 20 (1963), 373-378
MSC: Primary 94.10
DOI: https://doi.org/10.1090/qam/139498
MathSciNet review: 139498
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Abstract: A theorem from the theory of Toeplitz forms (ref. 1) is applied to the problem of estimating the best test statistic for the detection of Gaussian signals in Gaussian noise.

Ulf Grenander and Gabor Szegö, Toeplitz forms and their applications, California Monographs in Mathematical Sciences, University of California Press, Berkeley-Los Angeles, 1958. MR 0094840
Walter Freiberger and Ulf Grenander, Approximate distributions of noise power measurements, Quart. Appl. Math. 17 (1959), 271–283. MR 107346, DOI https://doi.org/10.1090/S0033-569X-1959-0107346-9
Ulf Grenander and Murray Rosenblatt, Statistical analysis of stationary time series, John Wiley & Sons, New York; Almqvist & Wiksell, Stockholm, 1957. MR 0084975