[HTML][HTML] Necessary and sufficient conditions for AR vector processes to be stationary: Applications in information theory and in statistical signal processing

J Gutiérrez-Gutiérrez, Í Barasoain-Echepare… - Applied Mathematics …, 2023 - Elsevier
As the correlation matrices of stationary vector processes are block Toeplitz, autoregressive
(AR) vector processes are non-stationary. However, in the literature, an AR vector process of …

computation of the fundamental limits of data compression for certain nonstationary ARMA vector sources

J Gutiérrez-Gutiérrez, Í Barasoain-Echepare… - Problems of Information …, 2024 - Springer
Computation of the Fundamental Limits of Data Compression for Certain Nonstationary ARMA
Vector Sources | Problems of Information Transmission Skip to main content SpringerLink …

On the asymptotic optimality of a low-complexity coding strategy for WSS, MA, and AR vector sources

In this paper, we study the asymptotic optimality of a low-complexity coding strategy for
Gaussian vector sources. Specifically, we study the convergence speed of the rate of such a …

A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources

In this paper, we present a low-complexity coding strategy to encode (compress) finite-
length data blocks of Gaussian vector sources. We show that for large enough data blocks of …

Necessary and sufficient conditions for AR vector processes to be stationary: Applications in information theory and in statistical signal processing

I Barasoain-Echepare, M Zárraga-Rodríguez… - 2023 - dadun.unav.edu
As the correlation matrices of stationary vector processes are block Toeplitz, autoregressive
(AR) vector processes are non-stationary. However, in the literature, an AR vector process of …

[PDF][PDF] Computation of the fundamental limits of data compression for certain nonstationary ARMA vector sources.

I Barasoain-Echepare, M Zárraga-Rodríguez… - 2024 - dadun.unav.edu
Computation of the Fundamental Limits of Data Compression for Certain Nonstationary ARMA
Vector Sources Page 1 ISSN 0032-9460, Problems of Information Transmission, 2024, Vol. 60 …

Applications of the Periodogram Method for Perturbed Block Toeplitz Matrices in Statistical Signal Processing

J Gutiérrez-Gutiérrez, X Insausti, M Zárraga-Rodríguez - Mathematics, 2020 - mdpi.com
In this paper, we combine the periodogram method for perturbed block Toeplitz matrices
with the Cholesky decomposition to give a parameter estimation method for any perturbed …

Applications of the periodogram method for perturbed block toeplitz satrices in statistical signal processing

M Zárraga-Rodríguez, X Insausti-Sarasola… - 2020 - dadun.unav.edu
In this paper, we combine the periodogram method for perturbed block Toeplitz matrices
with the Cholesky decomposition to give a parameter estimation method for any perturbed …

On the asymptotic optimality of a low-complexity coding strategy for WSS, MA, and AR vector sources

M Zárraga-Rodríguez, X Insausti-Sarasola… - 2020 - dadun.unav.edu
In this paper, we study the asymptotic optimality of a low-complexity coding strategy for
Gaussian vector sources. Specifically, we study the convergence speed of the rate of such a …

[CITAZIONE][C] Вычисление фундаментальных пределов сжатия данных для некоторых нестационарных источников векторных процессов авторегрессии со …

Х Гутьеррес-Гутьеррес… - Проблемы передачи …, 2024 - mathnet.ru
ПРОБЛЕМЫ ПЕРЕДАЧИ ИНФОРМАЦИИ Том 60 2024 Вып. 1 УДК 621.391 : 519.72 © 2024 г.
Х. Гуть Page 1 ПРОБЛЕМЫ ПЕРЕДАЧИ ИНФОРМАЦИИ Том 60 2024 Вып. 1 УДК 621.391 …