Abstract :
This paper deals with a construction of both stationary
and non-stationary M-band tight framelet packets in L2(R) using extension
principles. The approach here is different from the method described
by Shah and Debnath in [ Explicit construction of M-band tight
framelet packets, Analysis, 32 (2012) 281-294 ] in that we directly decompose
the multiresolution space VJ for a fixed level J > 0 to the
level 0 with any combined wavelet mask m = [m0,m1, . . . ,mL] satisfying
the unitary extension principle condition M()M() = IM, where
M() =
m`
??
+ 2p
M
M?1
`,p=0
