Title :
Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matrices
Author :
Viscito, Eric ; Allebach, Jan
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., W. Lafayette, IN, USA
Abstract :
The theory and design of multidimensional perfect reconstruction filter banks are discussed. A necessary and sufficient condition for perfect reconstruction in multidimensional filter banks is derived, and an approach to filter-bank design using cascaded polyphase matrices and a statistical filter design method is presented. The approach is applicable to arbitrary (not necessarily rectangular) decimation and interpolation schemes and any number of channels. The results of a preliminary numerical design example are presented.<>
Keywords :
filtering and prediction theory; matrix algebra; multidimensional digital filters; cascaded Smith form matrices; cascaded polyphase matrices; multi-dimensional filter; multidimensional perfect reconstruction filter banks; statistical filter design method; Channel bank filters; Design methodology; Filter bank; Finite impulse response filter; Interpolation; Lattices; Sampling methods; Signal processing; Signal synthesis; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15053
