Title :
Spatial correlation for directional sensors in arbitrary noise fields
Author :
Cox, Henry ; Lai, Hung ; Bell, Kristine
Author_Institution :
Array Process. & Stat. Signal Process.: Array Process. & Beamforming, Lockheed Martin Corp., Arlington, VA, USA
Abstract :
Spatial correlation provides the basis for determining the covariance matrix used in calculating the optimum gain performance and Direction-of-Arrival (DOA) Cramer-Rao Lower Bound (CRLB) for arrays of directional sensors. A general formulation for the spatial correlation between two pressure sensors in a noise field of arbitrary directional distribution F was presented in [1]. The approach involves the expansion of the directional noise density F(¿, ¿, ¿) in cylindrical or spherical surface harmonics. This approach has been extended to the case of two directional sensor components l and k whose directional amplitude responses are gl(¿, ¿, ¿) and gk(¿, ¿, ¿). The spatial correlation between the directional sensors can be obtained using a similar harmonic expansion procedure by replacing F(¿, ¿, ¿) with H(¿, ¿, ¿) = gl(¿, ¿, ¿)gk(¿, ¿, ¿)F(¿, ¿, ¿).
Keywords :
covariance matrices; direction-of-arrival estimation; harmonics; sensors; arbitrary noise fields; covariance matrix; cylindrical surface harmonics; direction-of-arrival Cramer-Rao lower bound; directional amplitude responses; directional noise density; directional sensors; harmonic expansion procedure; optimum gain performance; spatial correlation; spherical surface harmonics; Acoustic noise; Acoustic sensors; Acoustic signal processing; Array signal processing; Azimuth; Covariance matrix; Frequency; Oceans; Sensor arrays; Sensor phenomena and characterization;
Conference_Titel :
Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4244-5825-7
DOI :
10.1109/ACSSC.2009.5469861
