On recovery of discrete time signals from their periodic subsequences

被引：3

作者：

Dokuchaev, Nikolai ^{[1
,2
]}

机构：

[1] Curtin Univ, Sch Elect Engn Comp & Math Sci, GPO Box U1987, Perth, WA 6845, Australia

[2] ITMO Univ, St Petersburg 197101, Russia

来源：

SIGNAL PROCESSING | 2019年 / 162卷

关键词：

Discrete time signals; Digital signals; Sampling; Recovery from subsequences; Spectrum degeneracy; MISSING SAMPLES; SPARSE SIGNALS; RECONSTRUCTION; PREDICTORS;

D O I：

10.1016/j.sigpro.2019.04.008

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The paper investigates recoverability of discrete time signals (sequences) from their subsequences sampled at m-periodic points. It is shown that this recoverability is associated with arbitrarily small spectrum degeneracy of subsequences amended via insertion of dummy elements and bundled into a system. It appears that, for a given m, the signals of a general kind can be approximated by signals with this feature. A recovery algorithm is suggested, and some robustness of this recovery is established. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：180 / 188

页数：9

共 50 条

[31] The number of eigenvalues of discrete Hamiltonian periodic in time
Korotyaev, Evgeny L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 547 (01)
[32] Bifurcations in a periodic discrete-time environment
Poetzsche, Christian
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 53 - 82
[33] Image Recovery from Sparse Samples, Discrete Sampling Theorem, and Sharply Bounded Band-Limited Discrete Signals
Yaroslavsky, Leonid P.
ADVANCES IN IMAGING AND ELECTRON PHYSICS, 2011, 167 : 295 - 331
[34] INVARIANCE OF MATHEMATICAL OPERATIONS BY TRANSITION FROM CONTINUOUS-TIME TO DISCRETE-TIME SIGNALS
LINDNER, J
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 1976, 30 (05): : 197 - 204
[35] From constraint satisfactions to periodic positive invariance for discrete-time systems
Soyer, Martin
Olaru, Sorin
Fang, Zhou
2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 4547 - 4552
[36] Realization from covariances and Markov parameters of a discrete-time periodic system
Colaneri, P
Pinzoni, S
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 851 - 854
[37] A Discrete Waiting Time Model for Optical Signals
Lakatos, Laszlo
Efrosinin, Dmitry
DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS, 2014, 279 : 114 - 123
[38] Discrete differential operators for periodic and two-periodic time functions
Sobczyk, Tadeusz
Radzik, Michal
Radwan-Praglowska, Natalia
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2019, 38 (01) : 325 - 347
[39] ON THE ADAPTIVE INTERPOLATION OF DISCRETE-TIME SIGNALS
DANTE, HM
SIGNAL PROCESSING, 1989, 17 (04) : 305 - 311
[40] Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time
Song, YL
Peng, YH
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 188 (02) : 256 - 264

← 1 2 3 4 5 →