Coherence effects on the detection performance of quadratic array processors, with applications to large-array matched-field beamforming

Journal of the Acoustical Society of America

Volumn 87, Issue 2, 1990, Pages 737-747

  Morgan, Dennis R ^a   Smith, Thomas M ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; METHODOLOGY; NONHUMAN; PHYSICS; SIGNAL PROCESSING; SOUND DETECTION; THEORETICAL STUDY;

EID: 0025318072     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.398888     Document Type: Article

References (22)

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15. The small-signal condition σ2s≪σ2n/M follows from Eq. (4), but is not really required here: In this special case, the optimal small-signal matrix is in fact proportional to the general optimal matrix (3), as can be easily shown using Woodbury's identity to express the inverse.
16. For any two dimensionally-compatible matrices A and B, tr(AB) = tr(BA).
17. Note that the small-signal condition σ2s≪σ2n/||C|| could require that the instantaneous, output SNR be much less than unity for high coherence where| |C||≃M. However, this assumption is usually valid for practical systems where significant post-beamforming integration is employed to boost the output SNR.
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