A note on the Cramer-Rao bound for 2-D direction finding based on 2-D array

Author

Hua, Y. ; Sarkar, T.K.

Author_Institution

Dept. of Electr. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

39

Issue

5

fYear

1991

fDate

5/1/1991 12:00:00 AM

Firstpage

1215

Lastpage

1218

Abstract

The authors present explicit expressions for the Cramer-Rao bound (CRB) for estimating the two-dimensional (2-D) direction of a single source based on 2-D arrays of identical omnidirectional sensors. Two commonly used models, random wave and unknown wave, are compared. It is shown that the CRBs for the two models have the same dependency on the array structure. A specialization of the CRB to two orthogonal uniform linear arrays (ULAs) is discussed. It is found that the joint CRBs of the direction angles based on the two orthogonal ULAs can be as low as one quarter (for a random waveform model with a large number of snapshots and low SNR) or one half (for both models with high SNR) of the CRBs based on each ULA.<>

Keywords

antenna arrays; signal processing; 2-D array; 2-D direction finding; Cramer-Rao bound; array structure; direction angles; high SNR; low SNR; omnidirectional sensors; orthogonal uniform linear arrays; random waveform model; snapshots; unknown waveform model; Additive noise; Additive white noise; Australia; Covariance matrix; Gaussian noise; Probability density function; Sensor arrays; Signal to noise ratio; Time series analysis; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.80958

Filename

80958