Journal
SIGNAL PROCESSING
Volume 141, Issue -, Pages 57-73Publisher
ELSEVIER
DOI: 10.1016/j.sigpro.2017.05.023
Keywords
Orthogonal polynomials; Moment functions; Z-transform; Rodrigues formula; Hypergeometric form
Categories
Funding
- Czech Science Foundation [GA15 - 16928S]
- Czech Academy of Sciences under the PPLZ framework program
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The paper addresses some computational aspects and applications of the polynomial unbiased finite impulse response functions originally derived by Shmaliy as a new class of a one-parameter family of discrete orthogonal polynomials. We present two new explicit formulas to compute these polynomials directly. They are based on the discrete Rodrigues' representation and hypergeometric form, respectively. These straightforward calculations lead us to propose another discrete signal representation in moment domain. Experimental results show a comparison between the proposed moments and discrete Chebyshev moments in terms of noise-free/noisy signal feature extraction and reconstruction error. (C) 2017 Elsevier B.V. All rights reserved.
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