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This letter theoretically analyzes and minimizes the *L*_{2}-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The *L*_{2}-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: *L*_{2}-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 *L*_{2}-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

Shunsuke KOSHITA

Hachinohe Institute of Technology

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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 *L*_{2}-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The *L*_{2}-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: *L*_{2}-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 *L*_{2}-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 *L*_{2}-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The *L*_{2}-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: *L*_{2}-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 *L*_{2}-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 *L*_{2}-sensitivity for all-pass fractional delay digital filters of which structure is given by the normalized lattice structure. The *L*_{2}-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: *L*_{2}-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 *L*_{2}-sensitivity.

ER -