1995
DOI: 10.1137/s0895479893245486
|View full text |Cite
|
Sign up to set email alerts
|

Rank M Wavelets with N Vanishing Moments

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

3
55
0

Year Published

1998
1998
2000
2000

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 82 publications
(58 citation statements)
references
References 11 publications
3
55
0
Order By: Relevance
“…It suggests the possibility that from a given scaling filter, one may construct a full wavelet matrix with an asymptotically smaller DWT complexity. Several approaches [15,20,30] have been presented to construct the m − 1 wavelet filters from the scaling filter. In this paper we will give an optimal solution for the problem of designing wavelet filters, where the optimality is measured in the sense of DWT computational complexity.…”
Section: A Fast Wavelet Transform Based On Factorizationmentioning
confidence: 99%
See 1 more Smart Citation
“…It suggests the possibility that from a given scaling filter, one may construct a full wavelet matrix with an asymptotically smaller DWT complexity. Several approaches [15,20,30] have been presented to construct the m − 1 wavelet filters from the scaling filter. In this paper we will give an optimal solution for the problem of designing wavelet filters, where the optimality is measured in the sense of DWT computational complexity.…”
Section: A Fast Wavelet Transform Based On Factorizationmentioning
confidence: 99%
“…A more general construction method is described in [20]. The next theorem is Theorem 4.1 of [15] (see also [27]). …”
Section: A Fast Wavelet Transform Based On Factorizationmentioning
confidence: 99%
“…where N is as in (6.4) [11][12][13]16]. A most important fact is that the spectral radius of T P is the same as that of the restriction of the operator to certain invariant finite-dimensional subspaces.…”
Section: Critical and Sobolev Exponents Of M-band Waveletsmentioning
confidence: 99%
“…The interest in MRA structures with dilation factor greater than 2 [4,14,15,23,30] is motivated by the theory of M-band channel subband coding schemes [3,14,15,27] and by the attempt to obtain sharper time-frequency localization and greater flexibility in the construction of wavelets. The design of the filters is quite different from the classical case (M = 2): it is, in general, more difficult, and the wavelets are no longer determined, in an essentially unique manner, by a pair of biorthogonal MRAs.…”
Section: Introductionmentioning
confidence: 99%
“…The regularity of φ has been studied widely; see for instance [CL], [BDS], [D], [HW1], [HW2], [So], [S] and [WL]. In general, to study the regularity of φ we need to consider the symbol (2) first.…”
Section: Introductionmentioning
confidence: 99%