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

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Abstract

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.

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Notes

  1. Nine-channel 2-D LPBOFBs with an order-1 structure which has 144 parameters could not be designed in our computers because of out of memory.

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Acknowledgments

This work was supported in part by MIC SCOPE Grant Number 142103007.

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Authors and Affiliations

  1. The Graduate School of BASE, Tokyo University of Agriculture and Technology, Koganei, Tokyo, 184-8588, Japan

    Ami Hamamoto, Masaki Onuki & Yuichi Tanaka

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  1. Ami Hamamoto
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  2. Masaki Onuki
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  3. Yuichi Tanaka
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Correspondence to Ami Hamamoto.

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Hamamoto, A., Onuki, M. & Tanaka, Y. Higher order feasible building blocks for lattice structure of multidimensional linear phase biorthogonal filter banks . Multidim Syst Sign Process 28, 637–655 (2017). https://doi.org/10.1007/s11045-015-0364-1

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  • DOI: https://doi.org/10.1007/s11045-015-0364-1

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