Image analysis by discrete orthogonal dual Hahn moments
Pattern Recognition Letters
Explicit Formula for Predictive FIR Filters and Differentiators Using Hahn Orthogonal Polynomials
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Unbiased FIR filtering of discrete-time polynomial state-space models
IEEE Transactions on Signal Processing
Hierarchical prosody conversion using regression-based clustering for emotional speech synthesis
IEEE Transactions on Audio, Speech, and Language Processing
IEEE Transactions on Signal Processing
The discrete Laguerre transform: derivation and applications
IEEE Transactions on Signal Processing
Image analysis by Tchebichef moments
IEEE Transactions on Image Processing
Some computational aspects of discrete orthonormal moments
IEEE Transactions on Image Processing
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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). The most noticeable distinction of these polynomials with respect to the classical Meixner, Charlier, Hahn, and Krawtchouk DOP is dependence on only one parameter-the length of finite data. This makes them highly attractive for L-order blind fitting and analysis of informative processes. Properties of the UFIR polynomials are considered in detail along with the moments and recurrence relation. Examples of applications are given to blind approximation and phoneme pitch analysis.