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Compact Order Polynomial Singular Value Decomposition of a Matrix of Analytic Functions | IEEE Conference Publication | IEEE Xplore

Compact Order Polynomial Singular Value Decomposition of a Matrix of Analytic Functions


Abstract:

This paper presents a novel method for calculating a compact order singular value decomposition (SVD) of polynomial matrices, building upon the recently proven existence ...Show More

Abstract:

This paper presents a novel method for calculating a compact order singular value decomposition (SVD) of polynomial matrices, building upon the recently proven existence of an analytic SVD for analytic, non-multiplexed polynomial matrices. The proposed method calculates a conventional SVD in sample points on the unit circle, and then applies phase smoothing Algorithms to establish phase-coherence between adjacent frequency bins. This results in the extraction of compact order singular values and their corresponding singular vectors. The method is evaluated through experiments conducted on an ensemble of randomised polynomial matrices, demonstrating its superior performance in terms of higher decomposition accuracy and lower polynomial order compared to state-of-the-art techniques.
Date of Conference: 10-13 December 2023
Date Added to IEEE Xplore: 31 January 2024
ISBN Information:
Conference Location: Herradura, Costa Rica

Funding Agency:


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