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Digital filtering of band-limited signals using Periodic Nonuniform Sampling

By Kostadin Tzvetkov and Andrzej Tarczynski

Abstract

We examine the problem of digital filtering of band-limited signals by means of a linear digital filter with one or more stopbands. The main target of the study is to filter the signals using lower than Landau sampling rates, where the Landau rate is defined as the total bandwidth of the input signal. In order to reach such low rates Periodic Nonuniform Sampling is employed. We derive necessary and sufficient conditions for perfect filtering, and propose a practical algorithm for constructing PNS grids that allow for sub-Landau sampling and filtering. Finally, we present a reconstruction system and provide a numerical result illustrating the proposed method

Topics: UOW3
Publisher: IEEE
OAI identifier: oai:westminsterresearch.wmin.ac.uk:6804
Provided by: WestminsterResearch

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Citations

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