Title :
Regular multidimensional linear phase FIR digital filter banks and wavelet bases
Author :
Cooklev, T. ; Nishihara, A. ; Yoshida, Takafumi ; Sablatash, M.
Author_Institution :
Dept. of Phys. Electron., Tokyo Inst. of Technol., Japan
Abstract :
Design methods for regular multidimensional perfect reconstruction (PR) filter banks are described. A systematic method for two-channel and four-channel filter banks is presented. The main novelties are: (1) the filters have impulse response with square support, rather than diamond support, (2) regular designs that have rectangular support are also presented, which are highly efficient in practice, since expensive memory is saved; (3) in addition to new diamond filters for the two-channel case, hexagonally-symmetric filters are also derived; and (4) novel 3-D filter banks are also designed. In all cases the filters are linear phase, achieve arbitrarily high regularity and can be used to obtain biorthogonal wavelet bases. The filter banks can be implemented in a structurally perfect-reconstruction manner
Keywords :
FIR filters; band-pass filters; delay circuits; filtering theory; multidimensional digital filters; signal reconstruction; wavelet transforms; 3-D filter banks; biorthogonal wavelet bases; diamond filters; digital filter banks; four-channel filter banks; hexagonally-symmetric filters; impulse response; multidimensional linear phase FIR filters; rectangular support; regular perfect reconstruction filter banks; square support; two-channel filter banks; Design methodology; Digital filters; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Image representation; Multidimensional systems; Nonlinear filters; Video coding;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480560
