Generating 2-D FIR filter functions by Christoffel–Darboux formula for Chebyshev polynomials of the second kind
Dejan Ćirić, Vlastimir Dragoljub Pavlović, Nebojsa S. Doncov · International Journal of Electronics · 2016
Global Christoffel–Darboux formula for different polynomials has already been used for the filter design. Here, this formula for orthonormal Chebyshev polynomials of the second kind and for two independent variables is applied in generating novel class linear-phase two-dimensional (2-D) finite impulse response (FIR) digital filter functions. In this way, 2-D filters with some specific features including economy, phase linearity, symmetry and selectivity are designed. Representative examples of the 2-D FIR digital filters of a new class obtained by the proposed approximation technique are given. A filter generated by the proposed approach is compared with the corresponding one generated by the procedure from literature.