This paper presents a new general proof that the roots of the polynomial corresponding to the minimum variance filter computed using the true Toeplitz covariance matrix must fall on the unit circle (UC). Unlike a previous proof applicable to the Minimum Variance Distortionless Response (MVDR) case only, the new proof does not rely on Wiener-Khinchin theorem to map the problem into frequency domain. Furthermore, the proof is applicable to a general class of sensor array signal processing problems beyond MVDR. Next, new closed-form solutions of UC roots constrained (UCRC) MVDR beamformer and Adaptive Matched Filter (AMF) will demonstrate significant performance improvement than the conventional, non-UC counterparts. The proposed approach will also be shown to achieve superior performance improvement at smaller aperture sizes than the conventional approaches, justifying its suitability for applications with reduced SWAP requirements.
Unit Circle Roots Property for Sensor Array Signal Processing
16.08.2021
2568442 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
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