A NEW SPLITTING TRICK FOR WAVELET PACKETS ON LOCAL FIELDS OF POSITIVE CHARACTERISTIC
Firdous A. Shah, M. YOUNUS BHAT · Poincare Journal of Analysis and Applications · 2015
This paper deals with a construction of wavelet packets on local fields of positive characteristic.The splitting trick here is different that the method described by Behera and Jahan in [Wavelet packets and wavelet frame packets on local fields of positive characteristic, J. Math.Anal.Appl.395 (2012), 1-14], in that we split the wavelet subspaces directly instead of using the low-pass and high-pass filters associated with the multiresolution analysis.Furthermore, the method overcomes the difficulty of constructing non-orthogonal wavelet packets of the dilation factor not equal to 2.