3 citations · 8 across the 7 of their papers we have counts for
7 papers
On compact wavelet matrices of rank m and of order and degree N
Lasha Ephremidze, Edem Lagvilava
A new parametrization (one-to-one onto map) of compact wavelet matrices of rank and of order and degree is proposed in terms of coordinates in the Euclidian space $R^{(m-1)…
An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients
Lasha Ephremidze, Aleksander Gamkrelidze, Edem Lagvilava
It is described how the coefficients of Daubechies wavelet matrices can be approximated by rational numbers in such a way that the perfect reconstruction property of the filter ban…
Spectral Factorization of Rank-Deficient Polynomial Matrix-Functions
Lasha Ephremidze, Edem Lagvilava
A spectral factorization theorem is proved for polynomial rank-deficient matrix-functions. The theorem is used to construct paraunitary matrix-functions with first rows given.
A New Method of Matrix Spectral Factorization
Gigla Janashia, Edem Lagvilava, Lasha Ephremidze
A new method of matrix spectral factorization is proposed which reliably computes an approximate spectral factor of any matrix spectral density that admits spectral factorization
On Parametrization of Compact Wavelet Matrices
Lasha Ephremidze, Gigla Janashia, Edem Lagvilava
It is given an efficient complete parametrization of wavelet matrices of rank , genus , and degree , which are naturally identified with corresponding polynomial parauni…
An Analytic Proof of the Matrix Spectral Factorization Theorem
L. Ephremidze, G. Janshia, E. Lagvilava
An analytic proof is proposed of Wiener's theorem on factorization of positive definite matrix-functions.