Marr-type wavelets of high vanishing moments

In this work, kinds of Marr-type wavelets Ψn(t) are obtained and an explicit expression for the wavelets is derived. Time–frequency analysis shows that, regarded as window functions in a short time Fourier transform (STFT), the wavelets have monotonically increasing supporting areas in terms of the size of the so-called time–frequency windows and the vanishing moment of Ψn(t) is also monotonically regularly increasing with n. c 2007 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2007
• Where: APPML
• Authors: Jieqing Tan, Ping Jiang
• Keywords: APPML 2007, Explicit Expression, So-called Time–frequency Windows, Wavelets