Approximation and balancing orders for totally interpolating biorthogonal multiwavelet systems
Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1157-1167
https://doi.org/10.4134/BKMS.2011.48.6.1157
Published online November 1, 2011
Youngwoo Choi and Jaewon Jung
Ajou University, Ajou University
Abstract : We consider totally interpolating biorthogonal multiwavelet systems with finite impulse response two-band multifilter banks, and study balancing order conditions of such systems. Based on FIR and interpolating properties, we show that approximation order condition is completely equivalent to balancing order condition. Consequently, a prefiltering can be avoided if a totally interpolating biorthogonal multiwavelet system satisfies suitable approximation order conditions. An example with approximation order $4$ is provided to illustrate the result.
Keywords : multiwavelets, interpolating, balancing order
MSC numbers : Primary 42C40; Secondary 65T60
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