TY - JOUR
AU - Ciric, D. G.
AU - Pavlovic, V. D.
PY - 2012/04/03
Y2 - 2024/05/22
TI - Linear Phase Two-Dimensional FIR Digital Filter Functions Generated by applying Christoffel-Darboux Formula for Orthonormal Polynomials
JF - Elektronika ir Elektrotechnika
JA - ELEKTRON ELEKTROTECH
VL - 120
IS - 4
SE -
DO - 10.5755/j01.eee.120.4.1449
UR - https://eejournal.ktu.lt/index.php/elt/article/view/1449
SP - 39-42
AB - Global Christoffel-Darboux formula for four orthonormal polynomials on two equal finite segments for generating linear phase two-dimensional finite impulse response (FIR) digital filter functions in a compact explicit representative form is proposed in this paper. The formula can be most directly applied for solving mathematically the approximation problem of a filter function of even and odd order. An example of a new class extremely economic linear phase two-dimensional FIR digital filter without multipliers obtained by the proposed approximation technique is presented. The generated linear phase two-dimensional FIR filter functions have two symmetries, that is, the following relations are valid: <em>H</em>(<em>z</em><sub>1</sub>,<em>z</em><sub>2</sub>)=<em>H</em>(<em>z</em><sub>2</sub>,<em>z</em><sub>1</sub>) and <em>H</em>(<em>z</em><sub>1</sub>,<em>z</em><sub>2</sub>)=<em>H</em>(-<em>z</em><sub>1</sub>,-<em>z</em><sub>2</sub>) and . Ill. 3, bibl. 15 (in English; abstracts in English and Lithuanian).<p>DOI: <a href="http://dx.doi.org/10.5755/j01.eee.120.4.1449">http://dx.doi.org/10.5755/j01.eee.120.4.1449</a></p>
ER -