TY - GEN
T1 - New results on multidimensional filter banks and wavelets
AU - Kovacevic, Jelena
AU - Vetterli, Martin
PY - 1993
Y1 - 1993
N2 - New results on multidimensional filter banks and wavelets are presented. We concentrate on the two-dimensional case with sampling by 2 in each dimension and show how, by using an appropriate cascade structure, nonseparable filters being both orthogonal and linear phase can be obtained, a construction not possible when one-dimensional systems are used separately. Condition for having at least one zero of the lowpass filter at all aliasing frequencies (necessary for convergence) is given. Finally, a first design example of two-dimensional orthonormal wavelets with symmetries is presented, together with the demonstration of continuity.
AB - New results on multidimensional filter banks and wavelets are presented. We concentrate on the two-dimensional case with sampling by 2 in each dimension and show how, by using an appropriate cascade structure, nonseparable filters being both orthogonal and linear phase can be obtained, a construction not possible when one-dimensional systems are used separately. Condition for having at least one zero of the lowpass filter at all aliasing frequencies (necessary for convergence) is given. Finally, a first design example of two-dimensional orthonormal wavelets with symmetries is presented, together with the demonstration of continuity.
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M3 - Conference contribution
AN - SCOPUS:0027262082
SN - 0780312813
T3 - Proceedings - IEEE International Symposium on Circuits and Systems
SP - 108
EP - 111
BT - Proceedings - IEEE International Symposium on Circuits and Systems
PB - Publ by IEEE
T2 - 1993 IEEE International Symposium on Circuits and Systems
Y2 - 3 May 1993 through 6 May 1993
ER -