Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction

Her-Chang CHAO; Bin-Chang CHIEU; Shih-Jen YANG; Ju-Hong LEE

Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction

Her-Chang CHAO, Bin-Chang CHIEU, Shih-Jen YANG, Ju-Hong LEE

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In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.11 pp.2370-2382

Publication Date: 1998/11/25

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Category: Digital Signal Processing

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Her-Chang CHAO, Bin-Chang CHIEU, Shih-Jen YANG, Ju-Hong LEE, "Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 11, pp. 2370-2382, November 1998, doi: .
Abstract: In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e81-a_11_2370/_p

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@ARTICLE{e81-a_11_2370,
author={Her-Chang CHAO, Bin-Chang CHIEU, Shih-Jen YANG, Ju-Hong LEE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction},
year={1998},
volume={E81-A},
number={11},
pages={2370-2382},
abstract={In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2370
EP - 2382
AU - Her-Chang CHAO
AU - Bin-Chang CHIEU
AU - Shih-Jen YANG
AU - Ju-Hong LEE
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1998
AB - In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.
ER -