A new class of discrete orthogonal polynomials for blind fitting of finite data

We show that the polynomial unbiased finite impulse response (UFIR) functions derived by Shmaliy establish a new class of a one-parameter family of discrete orthogonal polynomials (DOP). Unlike the classical finite-data DOP, the UFIR polynomials depend on only one parameter - the length of finite da...

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Bibliographic Details
Main Authors: Gamboa-Rosales, Hamurabi, Morales-Mendoza, Luis J., Shmaliy, Yuriy S.
Format: Conference Proceeding
Language:English
Subjects:
Chebyshev approximation
Cities and towns
Electrical engineering
IEEE catalog
Noise
Polynomials
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Summary:We show that the polynomial unbiased finite impulse response (UFIR) functions derived by Shmaliy establish a new class of a one-parameter family of discrete orthogonal polynomials (DOP). Unlike the classical finite-data DOP, the UFIR polynomials depend on only one parameter - the length of finite data. This makes them highly attractive for L-order blind fitting and representation of informative processes. Examples of applications are given for voice phoneme analysis and approximation in a comparison with the Hahn's polynomials.
DOI:10.1109/ICEEE.2013.6676049