34 citations · 46 across the 21 of their papers we have counts for
23 papers
Exponential Speedup of the Janashia-Lagvilava Matrix Spectral Factorization Algorithm
Ying Wang, Lasha Ephremidze, Ronaldo Garcıa Reyes +1
Spectral factorization is a powerful mathematical tool with diverse applications in signal processing and beyond. The Janashia-Lagvilava method has emerged as a leading approach fo…
Stationary Processes, Wiener-Granger Causality, and Matrix Spectral Factorization
Lasha Ephremidze
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 foundat…
A numerical algorithm for matrix spectral factorization on the real line
Lasha Ephremidze
In this paper, the Janashia-Lagvilava matrix spectral factorization algorithm, which is designed for power spectral density functions defined on the unit circle, is extended to the…
On the exact spectral factorization of rational matrix functions with applications to paraunitary filter banks
Lasha Ephremidze, Gennady Mishuris, Ilya Spitkovsky
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…
Random Generator of Orthogonal Matrices in Finite Fields
Lasha Ephremidze, Ilya Spitkovsky
We propose a superfast method for constructing orthogonal matrices in finite fields . It can be used to construct orthogonal matrices in $…
On multivariable matrix spectral factorization method
Lasha Ephremidze, Ilya M. Spitkovsky
Spectral factorization is a prominent tool with several important applications in various areas of applied science. Wiener and Masani proved the existence of matrix spectral factor…