Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion
Summary :
In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to search for the good solution efficiently. Additionally we can check the filter stability when designing the denominator coefficients. Finally, we show the effectiveness of the proposed method using a numerical example.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.4 pp.1116-1121
- Publication Date
- 2006/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.4.1116
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
Authors
Keyword
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Masayoshi NAKAMOTO, Takao HINAMOTO, "Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 4, pp. 1116-1121, April 2006, doi: 10.1093/ietfec/e89-a.4.1116.
Abstract: In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to search for the good solution efficiently. Additionally we can check the filter stability when designing the denominator coefficients. Finally, we show the effectiveness of the proposed method using a numerical example.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.4.1116/_p
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@ARTICLE{e89-a_4_1116,
author={Masayoshi NAKAMOTO, Takao HINAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion},
year={2006},
volume={E89-A},
number={4},
pages={1116-1121},
abstract={In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to search for the good solution efficiently. Additionally we can check the filter stability when designing the denominator coefficients. Finally, we show the effectiveness of the proposed method using a numerical example.},
keywords={},
doi={10.1093/ietfec/e89-a.4.1116},
ISSN={1745-1337},
month={April},}
Copy
TY - JOUR
TI - Design of IIR Digital Filters with Discrete Coefficients Based on MLS Criterion
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1116
EP - 1121
AU - Masayoshi NAKAMOTO
AU - Takao HINAMOTO
PY - 2006
DO - 10.1093/ietfec/e89-a.4.1116
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2006
AB - In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to search for the good solution efficiently. Additionally we can check the filter stability when designing the denominator coefficients. Finally, we show the effectiveness of the proposed method using a numerical example.
ER -
English
