Statistical Resolution Limits of DOA for Discrete Sources

Author

Delmas, Jean-Pierre ; Abeida, Habti

Author_Institution

Departement CITI, UMR-CNRS, Evry

Volume

4

fYear

2006

fDate

14-19 May 2006

Abstract

This paper examines the stochastic Cramer-Rao bound (CRB) of direction of arrival (DOA) estimates for binary phase-shift keying (BPSK), minimum shift keying (MSK) and quaternary phase-shift keying (QPSK) modulated signals in the presence of unknown nonuniform Gaussian noise. After deriving closed-form expressions of the CRB, the statistical resolution limit, defined as the source separation that equals its own CRB is given. It is shown that this highest achievable resolution is proportional to the reciprocal of the fourth root of the product of the number of snapshots by an extended signal to noise ratio (SNR), in contrast to the square root dependence for circular Gaussian sources

Keywords

Gaussian noise; direction-of-arrival estimation; minimum shift keying; quadrature phase shift keying; statistics; BPSK modulated signals; DOA estimates; MSK modulated signals; QPSK modulated signals; SNR; binary phase-shift keying; circular Gaussian sources; direction of arrival estimates; discrete sources; minimum shift keying; nonuniform Gaussian noise; quaternary phase-shift keying; signal to noise ratio; statistical resolution limits; stochastic Cramer-Rao bound; Binary phase shift keying; Direction of arrival estimation; Gaussian noise; Phase estimation; Phase modulation; Phase shift keying; Quadrature phase shift keying; Signal resolution; Signal to noise ratio; Stochastic resonance;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1661112

Filename

1661112