Title :
Alias cancellation and distortion elimination in multi-dimensional QMF banks
Author :
Liu, Vincent C. ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
A necessary and sufficient condition is derived for alias cancellation in two-dimensional (2-D) quadrature-mirror-filter (QMF) banks. It requires the product of the polyphase matrices associated with the analysis and synthesis banks to be 2-D pseudocirculant. The conditions for eliminating phase or magnitude distortion are derived. A method for obtaining perfect reconstruction is suggested. The pseudocirculant property also arises in 2-D block filtering. The results can be generalized to higher dimensions.<>
Keywords :
electric distortion; matrix algebra; two-dimensional digital filters; 2D block filtering; 2D pseudocirculant matrices; 2D quadrature mirror filter banks; alias cancellation; distortion elimination; magnitude distortion; phase distortion; polyphase matrices; Design methodology; Filter bank; Filtering; Image coding; Image reconstruction; Interpolation; Mirrors; Phase distortion; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15162
