Optimal detection of a random multitone signal and its relation to bispectral analysis

Author

Kletter, Doron ; Messer, Hagit

Author_Institution

Dept. of Electron. Syst., Tel Aviv Univ., Israel

fYear

1990

fDate

3-6 Apr 1990

Firstpage

2391

Abstract

Optimal detection of a multitone signal in Gaussian noise and its relation to bispectral analysis are addressed. Using hypothesis testing methods the optimal detector of a multitone signal with random phases and (known) harmonic relations is derived. It is shown that the optimal receiver consists of a power spectrum block, and a block which deals with the phase coupling. Under a low signal-to-noise ratio (SNR) assumption, this extra block is closely related to a processor based on the bispectral analysis. Thus, a detector which is based on a superposition of the output of the conventional noncoherent detector and the bispectrum estimate of the input signal is a suboptimal one, approaching optimal performance in the low SNR case

Keywords

optimisation; random noise; signal detection; spectral analysis; Gaussian noise; bispectral analysis; hypothesis testing; low signal-to-noise ratio; noncoherent detector; optimal detection; optimal receiver; phase coupling; power spectrum block; random multitone signal; random phases; Detectors; Frequency; Gaussian noise; Harmonic analysis; Phase detection; Random variables; Signal analysis; Signal processing; Signal to noise ratio; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.116064

Filename

116064