Analytical Minimization of L2-Sensitivity for All-Pass Fractional Delay Digital Filters with Normalized Lattice Structure
Summary :
This letter theoretically analyzes and minimizes the L2-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The L2-sensitivity is well known as one of the useful evaluation functions for measuring the performance degradation caused by quantizing filter coefficients into finite number of bits. This letter deals with two cases: L2-sensitivity minimization problem with scaling constraint, and the one without scaling constraint. It is proved that, in both of these two cases, any all-pass fractional delay digital filter with the normalized lattice structure becomes an optimal structure that analytically minimizes the L2-sensitivity.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.3 pp.486-489
- Publication Date
- 2023/03/01
- Publicized
- 2022/08/24
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2022SML0004
- Type of Manuscript
- Special Section LETTER (Special Section on Smart Multimedia & Communication Systems)
- Category
Authors
Shunsuke KOSHITA
Hachinohe Institute of Technology
Keyword
Latest Issue
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Shunsuke KOSHITA, "Analytical Minimization of L2-Sensitivity for All-Pass Fractional Delay Digital Filters with Normalized Lattice Structure" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 3, pp. 486-489, March 2023, doi: 10.1587/transfun.2022SML0004.
Abstract: This letter theoretically analyzes and minimizes the L2-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The L2-sensitivity is well known as one of the useful evaluation functions for measuring the performance degradation caused by quantizing filter coefficients into finite number of bits. This letter deals with two cases: L2-sensitivity minimization problem with scaling constraint, and the one without scaling constraint. It is proved that, in both of these two cases, any all-pass fractional delay digital filter with the normalized lattice structure becomes an optimal structure that analytically minimizes the L2-sensitivity.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022SML0004/_p
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@ARTICLE{e106-a_3_486,
author={Shunsuke KOSHITA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analytical Minimization of L2-Sensitivity for All-Pass Fractional Delay Digital Filters with Normalized Lattice Structure},
year={2023},
volume={E106-A},
number={3},
pages={486-489},
abstract={This letter theoretically analyzes and minimizes the L2-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The L2-sensitivity is well known as one of the useful evaluation functions for measuring the performance degradation caused by quantizing filter coefficients into finite number of bits. This letter deals with two cases: L2-sensitivity minimization problem with scaling constraint, and the one without scaling constraint. It is proved that, in both of these two cases, any all-pass fractional delay digital filter with the normalized lattice structure becomes an optimal structure that analytically minimizes the L2-sensitivity.},
keywords={},
doi={10.1587/transfun.2022SML0004},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Analytical Minimization of L2-Sensitivity for All-Pass Fractional Delay Digital Filters with Normalized Lattice Structure
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 486
EP - 489
AU - Shunsuke KOSHITA
PY - 2023
DO - 10.1587/transfun.2022SML0004
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2023
AB - This letter theoretically analyzes and minimizes the L2-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The L2-sensitivity is well known as one of the useful evaluation functions for measuring the performance degradation caused by quantizing filter coefficients into finite number of bits. This letter deals with two cases: L2-sensitivity minimization problem with scaling constraint, and the one without scaling constraint. It is proved that, in both of these two cases, any all-pass fractional delay digital filter with the normalized lattice structure becomes an optimal structure that analytically minimizes the L2-sensitivity.
ER -
English
