IEICE TRANSACTIONS on Fundamentals
Analysis and Minimization of l2-Sensitivity for Block-State Realization of IIR Digital Filters
Summary :
Block-state realization of state-space digital filters offers reduced implementation complexity relative to canonical state-space filters while filter's internal structure remains accessible. In this paper, we present a quantitative analysis on l2 coefficient sensitivity of block-state digital filters. Based on this, we develop two techniques for minimizing average l2-sensitivity subject to l2-scaling constraints. One of the techniques is based on a Lagrange function and some matrix-theoretic techniques. The other solution method converts the problem at hand into an unconstrained optimization problem which is solved by using an efficient quasi-Newton algorithm where the key gradient evaluation is done in closed-form formulas for fast and accurate execution of quasi-Newton iterations. A case study is presented to demonstrate the validity and effectiveness of the proposed techniques.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.2 pp.447-459
- Publication Date
- 2018/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.447
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Akimitsu DOI
Hiroshima Institute of Technology
Takao HINAMOTO
Hiroshima University
Wu-Sheng LU
University of Victoria
Keyword
Latest Issue
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Akimitsu DOI, Takao HINAMOTO, Wu-Sheng LU, "Analysis and Minimization of l2-Sensitivity for Block-State Realization of IIR Digital Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 2, pp. 447-459, February 2018, doi: 10.1587/transfun.E101.A.447.
Abstract: Block-state realization of state-space digital filters offers reduced implementation complexity relative to canonical state-space filters while filter's internal structure remains accessible. In this paper, we present a quantitative analysis on l2 coefficient sensitivity of block-state digital filters. Based on this, we develop two techniques for minimizing average l2-sensitivity subject to l2-scaling constraints. One of the techniques is based on a Lagrange function and some matrix-theoretic techniques. The other solution method converts the problem at hand into an unconstrained optimization problem which is solved by using an efficient quasi-Newton algorithm where the key gradient evaluation is done in closed-form formulas for fast and accurate execution of quasi-Newton iterations. A case study is presented to demonstrate the validity and effectiveness of the proposed techniques.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.447/_p
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@ARTICLE{e101-a_2_447,
author={Akimitsu DOI, Takao HINAMOTO, Wu-Sheng LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis and Minimization of l2-Sensitivity for Block-State Realization of IIR Digital Filters},
year={2018},
volume={E101-A},
number={2},
pages={447-459},
abstract={Block-state realization of state-space digital filters offers reduced implementation complexity relative to canonical state-space filters while filter's internal structure remains accessible. In this paper, we present a quantitative analysis on l2 coefficient sensitivity of block-state digital filters. Based on this, we develop two techniques for minimizing average l2-sensitivity subject to l2-scaling constraints. One of the techniques is based on a Lagrange function and some matrix-theoretic techniques. The other solution method converts the problem at hand into an unconstrained optimization problem which is solved by using an efficient quasi-Newton algorithm where the key gradient evaluation is done in closed-form formulas for fast and accurate execution of quasi-Newton iterations. A case study is presented to demonstrate the validity and effectiveness of the proposed techniques.},
keywords={},
doi={10.1587/transfun.E101.A.447},
ISSN={1745-1337},
month={February},}
Copy
TY - JOUR
TI - Analysis and Minimization of l2-Sensitivity for Block-State Realization of IIR Digital Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 447
EP - 459
AU - Akimitsu DOI
AU - Takao HINAMOTO
AU - Wu-Sheng LU
PY - 2018
DO - 10.1587/transfun.E101.A.447
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2018
AB - Block-state realization of state-space digital filters offers reduced implementation complexity relative to canonical state-space filters while filter's internal structure remains accessible. In this paper, we present a quantitative analysis on l2 coefficient sensitivity of block-state digital filters. Based on this, we develop two techniques for minimizing average l2-sensitivity subject to l2-scaling constraints. One of the techniques is based on a Lagrange function and some matrix-theoretic techniques. The other solution method converts the problem at hand into an unconstrained optimization problem which is solved by using an efficient quasi-Newton algorithm where the key gradient evaluation is done in closed-form formulas for fast and accurate execution of quasi-Newton iterations. A case study is presented to demonstrate the validity and effectiveness of the proposed techniques.
ER -
English
