M. Nielsen. Size Properties of Wavelet Packets. PhD thesis, Washington University, St. Louis, 1999. Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
Basis and Convergence Properties of Wavelet Packets - Wickerhauser (Correct)
....on ra0 is satisfied by Daubechies filters. If in addition m0 is nonnegative, then IItbnllx and IIwnlloo will be equivalent, so limsup 1 (llwoll IIwll) Thus, such wavelet packets are not bounded on average, the kequency index incre,es. A refined speci case of this result is shown in [13]: exist Pmin , O, and r 1, all depending on L, such that for all p Pmin In particular, the theorem holds for p . The result depends on a calculation, and holds for some other well known CQFs as well. In the L = 4 case, Pmin = 2. There is numerical evidence that the wavelet packets ....
....2 3 x n 2 3 implies that n3 = 1. With the definitions F0 de H and Fx de G, it is possible to write the filter foulation of wavelet packets: where 2 a n 2 a. Alternatively, there is also a multiplier formulation: 12) n( 0( m rm r. m rm nJk2J nj lk2J 1 n2122 nlk2 M. Nielsen [13] studied two generalizations of this recursive definition. Let (h a, ga: j = 1, 2, be a fmily of orthogonal CQF pairs. Fix w0, d for J 2 and 2 a n 2 a define nonstationa wavelet packets by (13) w, x) J J 1 . FlWO(X) 14) x) w0( m ( m( ml( The superscript indicates ....
[Article contains additional citation context not shown here]
M. Nielsen. Size Properties of Wavelet Packets. PhD thesis, Washington University, Saint Louis, Missouri, 1999.
Nonseparable Walsh-type Functions on R ^d - Nielsen (2003) Self-citation (Nielsen) (Correct)
No context found.
M. Nielsen. Size Properties of Wavelet Packets. PhD thesis, Washington University, St. Louis, 1999.
Nonseparable Walsh Type Functions On ... - Nielsen Self-citation (Nielsen) (Correct)
....where we have used that j = tdu r: Now, each term on the right can be shown to be associated with a Calder on Zygmund operator using a straightforward modi cation of well known estimates, see e.g. 19, 10] using the decay of f i and = x i f j . The following Lemma generalizes Lemma 12 in [11]. Lemma 4.3. Let be a wavelet associated with an almost isotropic (d d) dilation matrix A, and let H be a generalized Haar wavelet for the same dilation. Suppose 2 C 1 (R d ) satis es j (x)j; j = x i (x)j C(1 jxj) d ; i = 1; 2; d; for some constant C. Then the ....
M. Nielsen. Size Properties of Wavelet Packets. PhD thesis, Washington University, St. Louis, 1999.
Progress in Wavelet Algorithms and Applications - Mladen Victor Wickerhauser (Correct)
No context found.
M. Nielsen, Size Properties of Wavelet Packets. PhD thesis, Washington University, Saint Louis, Missouri, 1999.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC