Title :
A note on the square summability of 2-D first-order digital filter transfer functions
Author :
Tavsanoglu, Vedat
Author_Institution :
Sch. of Electr. Electron. & Inf. Eng., South Bank Univ., London, UK
Abstract :
Necessary and sufficient conditions for square summability of 2D first-order digital filter transfer functions are given. It is shown that stability is a necessary and sufficient condition for square summability unless nonessential singularities of the second kind exist on the unit bicircle. A 1-D polynomial is defined which is unique for every first-order 2-D denominator polynomial, Using this polynomial, a simple procedure is given to check the square summability
Keywords :
circuit stability; polynomials; turbo codes; two-dimensional digital filters; 1D polynomial; 2D first-order digital filter transfer functions; nonessential singularities; square summability; stability; unit bicircle; Circuits and systems; Convergence; Digital filters; Electronic mail; Polynomials; Stability; Sufficient conditions; Transfer functions;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.858693
