Volume 5 Number 10 (Oct. 2010)
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JCP 2010 Vol.5(10): 1486-1493 ISSN: 1796-203X
doi: 10.4304/jcp.5.10.1486-1493

On Digital Filtering of Band-limited Signals Using Lower Sampling Rates

Kostadin Tzvetkov and Andrzej Tarczynski
University of Westminster, London, United Kingdom

Abstract—Filtering of multi-band bandlimited signals by means of a linear digital filter with one or more stopbands is explored. The main goal of the paper is to demonstrate that such a task can be accomplished using sampling rates lower than Landau rate, 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 show that the proposed filtering method is most efficient when bandpass and multiband filtering is required. Necessary and sufficient conditions for filtering are derived, and an algorithm for designing PNS grids that allow sub- Landau sampling and filtering is proposed. Reconstruction systems are discussed and experimental examples are presented, which confirm the feasibility of the approach.

Index Terms—digital filter, periodic nonuniform sampling, sampling rate reduction.

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Cite: Kostadin Tzvetkov and Andrzej Tarczynski, " On Digital Filtering of Band-limited Signals Using Lower Sampling Rates," Journal of Computers vol. 5, no. 10, pp. 1486-1493, 2010.

General Information

ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Monthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO,  ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat, CNKI,etc
E-mail: jcp@iap.org
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