TY - GEN
T1 - Design of multidimensional non-separable regular filter banks and wavelets
AU - Kovačević, Jelena
AU - Vetterli, Martin
N1 - Publisher Copyright:
© 1992 IEEE.
PY - 1992
Y1 - 1992
N2 - The design of multidimensional nonseparable wavelets based on iterated filter banks is investigated. To obtain regularity of the wavelet, a maximum number of zeros is put at aliasing frequencies in the lowpass filter. Two approaches are pursued. A direct method designs nonseparable perfect reconstruction filter banks based on cascade structures and with prescribed zeros both analytically (small cases) and numerically (larger cases). A second, indirect method maps biorthogonal one-dimensional banks with high regularity into multidimensional banks using the McClellan transformation. A number of properties relevant to perfect reconstruction and zero locations are shown in this case. Design examples are given in all cases, and the testing of regularity is discussed, together with a fast algorithm to compute iterated filters.
AB - The design of multidimensional nonseparable wavelets based on iterated filter banks is investigated. To obtain regularity of the wavelet, a maximum number of zeros is put at aliasing frequencies in the lowpass filter. Two approaches are pursued. A direct method designs nonseparable perfect reconstruction filter banks based on cascade structures and with prescribed zeros both analytically (small cases) and numerically (larger cases). A second, indirect method maps biorthogonal one-dimensional banks with high regularity into multidimensional banks using the McClellan transformation. A number of properties relevant to perfect reconstruction and zero locations are shown in this case. Design examples are given in all cases, and the testing of regularity is discussed, together with a fast algorithm to compute iterated filters.
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U2 - 10.1109/ICASSP.1992.226354
DO - 10.1109/ICASSP.1992.226354
M3 - Conference contribution
AN - SCOPUS:33747822280
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 389
EP - 392
BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Y2 - 23 March 1992 through 26 March 1992
ER -