On the exact spectral factorization of rational matrix functions with applications to paraunitary filter banks
L Ephremidze, G Mishuris, IM Spitkovsky - Journal of Fourier Analysis and …, 2024 - Springer
In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix
functions, extending its capabilities to precisely factorize rational matrices when an exact …
functions, extending its capabilities to precisely factorize rational matrices when an exact …
Stationary processes, Wiener-Granger causality, and matrix spectral factorization
L Ephremidze - arXiv preprint arXiv:2412.18901, 2024 - arxiv.org
Granger causality has become an indispensable tool for analyzing causal relationships
between time series. In this paper, we provide a detailed overview of its mathematical …
between time series. In this paper, we provide a detailed overview of its mathematical …
A numerical algorithm for matrix spectral factorization on the real line
L Ephremidze - Analysis without Borders: Dedicated to Ilya Spitkovsky …, 2024 - Springer
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Algorithm for spectral factorization of polynomial matrices on the real line
L Ephremidze - Advances in Operator Theory, 2025 - Springer
In this paper, we extend the basic idea of the Janashia–Lagvilava algorithm to adapt it for
the spectral factorization of positive-definite polynomial matrices on the real line. This …
the spectral factorization of positive-definite polynomial matrices on the real line. This …
Check for updates Random Generator of Orthogonal Matrices in Finite Fields
L Ephremidze, I Spitkovsky - … : Proceedings of the 2024 Future of …, 2024 - books.google.com
We propose a superfast method for constructing orthogonal matrices MEO (n, q) in finite
fields GF (q). It can be used to construct n× n orthogonal matrices in Z, with very high values …
fields GF (q). It can be used to construct n× n orthogonal matrices in Z, with very high values …
Random Generator of Orthogonal Matrices in Finite Fields
L Ephremidze, I Spitkovsky - Future of Information and Communication …, 2024 - Springer
We propose a superfast method for constructing orthogonal matrices M∈ O (n, q) in finite
fields GF (q). It can be used to construct n× n orthogonal matrices in Z p with very high …
fields GF (q). It can be used to construct n× n orthogonal matrices in Z p with very high …
[PDF][PDF] New Algorithm for Spectral Factorization of Rational Matrix Functions with Applications to Paraunitary Filter Banks
L Ephremidze, G Mishuris, I Spitkovsky - BOOK OF ABSTRACTS - researchgate.net
Spectral factorization is the process by which a positive (scalar or matrix-valued) function S
is expressed in the form S (t)= S+(t) S∗+(t), t∈ T, where S+ can be analytically extended …
is expressed in the form S (t)= S+(t) S∗+(t), t∈ T, where S+ can be analytically extended …