New discrete orthogonal moments for signal analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00475248" target="_blank" >RIV/67985556:_____/17:00475248 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31160/17:00051703
Result on the web
<a href="http://dx.doi.org/10.1016/j.sigpro.2017.05.023" target="_blank" >http://dx.doi.org/10.1016/j.sigpro.2017.05.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.sigpro.2017.05.023" target="_blank" >10.1016/j.sigpro.2017.05.023</a>
Alternative languages
Result language
angličtina
Original language name
New discrete orthogonal moments for signal analysis
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA15-16928S" target="_blank" >GA15-16928S: Invariants and adaptive representations of digital images</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Signal Processing
ISSN
0165-1684
e-ISSN
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Volume of the periodical
141
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
57-73
UT code for WoS article
000406987500006
EID of the result in the Scopus database
2-s2.0-85019987088