Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4977461 | Signal Processing | 2017 | 33 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Barmak Honarvar Shakibaei Asli, Jan Flusser,