Open AccessUltra‐selective spike multiplierless linear‐phase two‐dimensional FIR filter function with full Hilbert transform effect
Author(s) -
Pavlovic Vlastimir D.,
DjordjevicKozarov Jelena R.
Publication year - 2014
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2013.0432
Subject(s) - finite impulse response , linear phase , mathematics , chebyshev filter , infinite impulse response , linear filter , filter design , digital filter , filter (signal processing) , raised cosine filter , control theory (sociology) , algorithm , mathematical analysis , prototype filter , computer science , artificial intelligence , control (management) , computer vision
In this study, a novel analytical method for new class of linear‐phase two‐dimensional (2D) finite impulse response (FIR) filter functions with full effect of Hilbert transformer in z 1 and z 2 domains generated by applying a new modified 2D Christoffel–Darboux formula for classical orthogonal Chebyshev polynomials of the first and the second kind is proposed. Fundamental research proposed in this study is also illustrated by examples of 2D FIR filter, Hilbert transformer and adequate comparison with new class of multiplierless linear‐phase 2D FIR filter function given in the literature. For all 2D FIR filter functions, comparisons are made for the same values of free real parameters, and they show the improvement of the spike sharpness.