The bootstrapped matched filter and its accuracy

Author

Ong, Hwa-Tung ; Zoubir, Abdelhak M.

Author_Institution

Sch. of Electr. & Comput. Eng., Curtin Univ. of Technol., Perth, WA, Australia

Volume

7

Issue

1

fYear

2000

Firstpage

11

Lastpage

13

Abstract

We use Edgeworth expansions to show the higher-order accuracy of the bootstrapped matched filter (MF). Specifically, the bootstrapped MF has a probability of false alarm of order n/sup -1/ distant from the preset level, where n is the sample size. We also show that the order is n/sup -3/2/ for sinusoidal signals. Simulation results compare the bootstrapped MF with the classical MF. We briefly discuss the bootstrapping approach when the noise variance is unknown and when signal parameters are unknown.

Keywords

filtering theory; higher order statistics; matched filters; probability; signal detection; signal processing; signal sampling; Edgeworth expansions; bootstrapped matched filter; higher-order accuracy; probability of false alarm; signal detection; simulation results; sinusoidal signals; unknown noise variance; unknown signal parameters; Australia; Gaussian distribution; Gaussian noise; Matched filters; Radar detection; Random variables; Signal detection; Signal processing; Telecommunication computing; Testing;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.809512

Filename

809512