Spectral analysis of singular matrices in SIMO channel

V.B. Kiran Kumar, A. Lexy, M.N.N. Namboodiri and A. Noufal

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: Covariance matrices in SIMO technology are used to solve channel identification problems. We obtain an upper bound for the generalised condition number of covariance matrix in this article. The existing notion of preconditioners in [1, 2] is extended to the singular matrices. We compare existing preconditioners for non-singular matrices and the generalised preconditioners. We observe that generalised preconditioners have better performance from numerical experiments. Also, the generating function of the covariance matrix is calculated, and spectral properties are derived using only linear algebra techniques.

Keywords: Block Toeplitz matrix; Preconditioners; SIMO channel (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322008281

DOI: 10.1016/j.amc.2022.127760

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