Estimation of dimension functions of band-limited wavelets |
| |
Authors: | Biswaranjan Behera |
| |
Institution: | Stat-Math Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta, 700035, India |
| |
Abstract: | The dimension function Dψ of a band-limited wavelet ψ is bounded by n if its Fourier transform is supported in −(2n+2/3)π,(2n+2/3)π]. For each
and for each , 0<<δ=δ(n), we construct a wavelet ψ with supp
Full-size image such that Dψ>n on a set of positive measure, which proves that −(2n+2/3)π,(2n+2/3)π] is the largest symmetric interval for estimating the dimension function by n. This construction also provides a family of (uncountably many) wavelet sets each consisting of infinite number of intervals. |
| |
Keywords: | Wavelet Band-limited Dimension function |
本文献已被 ScienceDirect 等数据库收录! |
|