This article is cited in 2 papers

Methods of Signal Processing

On data compression and recovery for sequences using constraints on the spectrum range

N. G. Dokuchaev

ZJU-UIUC (Zhejiang University / University of Illinois at Urbana-Champaign) Institute, Zhejiang University, Haining, Zhejiang Province, China

Abstract: We investigate the possibility of data recovery for finite sequences with constraints on their spectrum defined by a special discretization of the spectrum range. These sequences are dense in the space of all sequences. We show that uniqueness sets for them can be singletons.

Keywords: data recovery, data compression, $\mathrm{Z}$-transform, discrete Fourier transform, spectrum discretization.

UDC: 621.391 : 519.2

Received: 18.08.2021
Revised: 10.10.2021
Accepted: 08.11.2021

DOI: 10.31857/S0555292321040069

 English version: Problems of Information Transmission, 2021, 57:4, 368–372

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