0475248 20240103214144.220170614235959.9 85019987088 000406987500006 10.1016/j.sigpro.2017.05.023 New discrete orthogonal moments for signal analysis 17 s. P cav_un_epca*02550760165-1684Signal Processing1411 (2017)57-73Elsevier Orthogonal polynomials Moment functions Z-transform Rodrigues formula Hypergeometric form cav_un_auth*0347018 Honarvar Shakibaei Asli Barmak Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing MY Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101087 Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing Flusser Jan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/ZOI/flusser-0475248.pdf cav_un_auth*0314467 GA15-16928S GA ČR 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. JD 10000 10200 10201 2018 2 4 A hod 4ah 20231122142500.0 RVO:67985556 http://hdl.handle.net/11104/0272088 1 Department of Image Processing UTIA-B 10200 COMPUTER SCIENCE, THEORY & METHODS S 2 Article Engineering Electrical Electronic 2 Article Engineering Electrical Electronic 2 Article Engineering Electrical Electronic ENGINEERING.ELECTRICAL&ELECTRONIC 3.180 1.157 5.9 0.01942 0.817 11626 0.940 2.973 356 Q1 63.612 80.6 Q2 Q1 1.27 Q1 80.577 2017 Soubory v repozitáři: flusser-0475248.pdf 85019987088 SCOPUS PUBMED 000406987500006 WOS cav_un_epca*0255076 Signal Processing 0165-1684 1872-7557 Roč. 141 č. 1 2017 57 73 Elsevier