A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank
The lattice structure two-channel orthogonal filter bank structurally guarantees the perfect reconstruction (PR) property. Thus, it is eminently suitable for hardware realization even under severe coefficient quantization condition. Nevertheless, its frequency response is still adverse...
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sg-ntu-dr.10356-917422020-03-07T13:56:09Z A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank Lim, Yong Ching Yu, Ya Jun School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering The lattice structure two-channel orthogonal filter bank structurally guarantees the perfect reconstruction (PR) property. Thus, it is eminently suitable for hardware realization even under severe coefficient quantization condition. Nevertheless, its frequency response is still adversely affected by coefficient quantization. In this paper, a novel recursive-in-width depth-first tree search technique is presented for the design of lattice structure PR orthogonal filter banks subject to discrete coefficient value constraint. A frequency-response deterioration measure is developed to serve as a branching criterion. At any node, the coefficient which will cause the largest deterioration in the frequency response of the filter when quantized is selected for branching. The improvement in the frequency response ripple magnitude achieved by our algorithm over that by simple rounding of coefficient values differs widely from example to example ranging from a fraction of a decibel to over 10 dB. Published version 2011-02-21T01:06:19Z 2019-12-06T18:11:12Z 2011-02-21T01:06:19Z 2019-12-06T18:11:12Z 2003 2003 Journal Article Lim, Y. C., & Yu, Y. J. (2003). A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank. IEEE Transactions on Circuits and Systems—II: Analog and Digital Signal Processing, 50(6), 257-266. 1057-7130 https://hdl.handle.net/10356/91742 http://hdl.handle.net/10220/6723 10.1109/TCSII.2003.812912 en IEEE transactions on circuits and systems Part 2: analog and digital signal processing IEEE Transactions on Circuits and Systems Part 2 Analog and Digital Signal Processing © 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. 10 p. application/pdf |
| institution |
Nanyang Technological University |
| building |
NTU Library |
| country |
Singapore |
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DR-NTU |
| language |
English |
| topic |
DRNTU::Engineering::Electrical and electronic engineering |
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DRNTU::Engineering::Electrical and electronic engineering Lim, Yong Ching Yu, Ya Jun A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| description |
The lattice structure two-channel orthogonal filter bank structurally guarantees the perfect reconstruction (PR) property.
Thus, it is eminently suitable for hardware realization even under severe coefficient quantization condition. Nevertheless, its
frequency response is still adversely affected by coefficient quantization.
In this paper, a novel recursive-in-width depth-first tree search technique is presented for the design of lattice structure PR
orthogonal filter banks subject to discrete coefficient value constraint.
A frequency-response deterioration measure is developed to serve as a branching criterion. At any node, the coefficient which will cause the largest deterioration in the frequency response of the filter when quantized is selected for branching. The improvement in the frequency response ripple magnitude achieved by our algorithm over that by simple rounding of coefficient values differs widely from example to example ranging from a fraction of a decibel to over 10 dB. |
| author2 |
School of Electrical and Electronic Engineering |
| author_facet |
School of Electrical and Electronic Engineering Lim, Yong Ching Yu, Ya Jun |
| format |
Article |
| author |
Lim, Yong Ching Yu, Ya Jun |
| author_sort |
Lim, Yong Ching |
| title |
A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| title_short |
A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| title_full |
A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| title_fullStr |
A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| title_full_unstemmed |
A width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| title_sort |
width-recursive depth-first tree search approach for the design of discrete coefficient perfect reconstruction lattice filter bank |
| publishDate |
2011 |
| url |
https://hdl.handle.net/10356/91742 http://hdl.handle.net/10220/6723 |
| _version_ |
1681042611089965056 |