Title :
High order balanced multiwavelets
Author :
Lebrun, Jerome ; Vetterli, Martin
Author_Institution :
Fed. Inst. of Technol., Lausanne, Switzerland
Abstract :
We study the issue of regularity for multiwavelets. We generalize here the concept of balancing for higher degree discrete-time polynomial signals and link it to a very natural factorization of the lowpass refinement mask that is the counterpart of the well-known zeros at π condition for wavelets. This enables us to clarify the subtle relations between approximation power, smoothness and balancing order. Using these new results, we are also able to construct a family of orthogonal multiwavelets with symmetries and compact support that is indexed by the order of balancing
Keywords :
band-pass filters; low-pass filters; polynomials; signal processing; smoothing methods; wavelet transforms; π condition; approximation power; balancing order; compact support; digital signal processing; discrete-time polynomial signals; high order balanced multiwavelets; low pass filters; lowpass refinement mask factorization; multifilter bank; orthogonal multiwavelets; regularity; smoothness; symmetries; zeros; Approximation methods; Continuous production; Convergence; Discrete wavelet transforms; Eigenvalues and eigenfunctions; Equations; Frequency; Information filtering; Information filters; Polynomials;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.681741
