Multidimensional Systems and Signal Processing

, Volume 28, Issue 2, pp 637–655

Higher order feasible building blocks for lattice structure of multidimensional linear phase biorthogonal filter banks


DOI: 10.1007/s11045-015-0364-1

Cite this article as:
Hamamoto, A., Onuki, M. & Tanaka, Y. Multidim Syst Sign Process (2017) 28: 637. doi:10.1007/s11045-015-0364-1


A multidimensional (MD) linear phase biorthogonal filter bank (LPBOFB) with higher order feasible (HOF) building blocks is reported. Basically, there are two ways to design filter banks with large filter supports. One way is to use a cascade of degree-1 building blocks, and the other way is to use a cascade of order-1 building blocks. Unfortunately, both methods have high implementation costs in terms of the number of parameters, especially for the multidimensional case. A previously reported HOF building block has now been applied to MD LPBOFBs. Their generalized structural design supports both an even and odd number of channels. It is shown that the HOF structure cannot be factored into a cascade of order-1 building blocks. The proposed MD LPBOFB has larger filters and uses fewer building blocks than the traditional degree-1 and order-1 structures.


Lattice structure Multidimensional filter banks Higher order feasible (HOF) building blocks Linear phase Perfect reconstruction 

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.The Graduate School of BASETokyo University of Agriculture and TechnologyKoganeiJapan

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