Comparison Between Uniform and Nonuniform Interpolation Techniques for Digital Alias-free FIR Filtering

Darawsheh, H. and Tarczynski, A. 2019. Comparison Between Uniform and Nonuniform Interpolation Techniques for Digital Alias-free FIR Filtering. Hidoussi, F. (ed.) International Conference on Digital Image & Signal Processing (DISP’19). St Hugh's College, Oxford University, United Kingdom 29 - 30 Apr 2019

TitleComparison Between Uniform and Nonuniform Interpolation Techniques for Digital Alias-free FIR Filtering
AuthorsDarawsheh, H. and Tarczynski, A.
EditorsHidoussi, F.
TypeConference paper
Abstract

In this paper, we propose three grid-based nonuniform interpolation techniques to find the AUC of the convolution operation of a digital alias-free FIR filter. Up to the authors’ knowledge, these techniques were not addressed in literature before. We call them composite 3-nonuniform-sample (C3NS), composite 4-nonuniform-sample (C4NS) and composite 5-nonuniform-sample (C5NS) rules. They are named after the traditional composite Simpson’s 1/3 rule which is usually used in second-order polynomial interpolation of equally-spaced sampling points. The proposed new rules shows better estimated results than the uniform-based ones when the number of sampling points doesn’t match the required Nyquist rate. Moreover, we prove that composite Simpson’s 1/3 rule is more accurate than composite Simpson’s 3/8 rule mathematically and by simulation.

KeywordsNonuniform interpolation+ random sampling+ digital alias-free signal processing+ FIR filter+ composite Simpson’s rules+ Boole’s rule
Year2019
ConferenceInternational Conference on Digital Image & Signal Processing (DISP’19)
Publisher's version
File Access Level
Open (open metadata and files)
Publication dates
Published04 May 2019
Book titleProceedings of the International Conference on Digital Image & Signal Processing (DISP’19)

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