On the sensitivity of realizations of real coefficient digital filters using complex arithmetic

Chimin Tsai; Meng Liang Lin; Adly T. Fam

doi:10.1109/ICASSP.1994.389955

On the sensitivity of realizations of real coefficient digital filters using complex arithmetic

Chimin Tsai
, Meng Liang Lin
, Adly T. Fam

Department of Electrical Engineering

Chung Hua University

Research output: Contribution to journal › Conference article › peer-review

Abstract

Recently, new structures using complex arithmetic were proposed for the implementation of real coefficient HR digital filters. The quantization of the real-equivalent of a complex coefficient in these filters violates an assumption usually adopted in the analysis of coefficient sensitivity, i.e., quantization errors are uncorrected to each other. In this paper, a simple expression is derived to measure the L₂ sensitivity of structures using complex arithmetic. Then, an explicit expression of the L₂ sensitivity is obtained for second-order digital filters with minimum norm.

Original language	English
Article number	389955
Pages (from-to)	III601-III604
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1994.389955
State	Published - 1994
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: Apr 19 1994 → Apr 22 1994

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10.1109/ICASSP.1994.389955

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title = "On the sensitivity of realizations of real coefficient digital filters using complex arithmetic",

abstract = "Recently, new structures using complex arithmetic were proposed for the implementation of real coefficient HR digital filters. The quantization of the real-equivalent of a complex coefficient in these filters violates an assumption usually adopted in the analysis of coefficient sensitivity, i.e., quantization errors are uncorrected to each other. In this paper, a simple expression is derived to measure the L2 sensitivity of structures using complex arithmetic. Then, an explicit expression of the L2 sensitivity is obtained for second-order digital filters with minimum norm.",

author = "Chimin Tsai and Lin, \{Meng Liang\} and Fam, \{Adly T.\}",

note = "Publisher Copyright: {\textcopyright} 1994 IEEE.; Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

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doi = "10.1109/ICASSP.1994.389955",

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AU - Tsai, Chimin

AU - Lin, Meng Liang

AU - Fam, Adly T.

PY - 1994

Y1 - 1994

N2 - Recently, new structures using complex arithmetic were proposed for the implementation of real coefficient HR digital filters. The quantization of the real-equivalent of a complex coefficient in these filters violates an assumption usually adopted in the analysis of coefficient sensitivity, i.e., quantization errors are uncorrected to each other. In this paper, a simple expression is derived to measure the L2 sensitivity of structures using complex arithmetic. Then, an explicit expression of the L2 sensitivity is obtained for second-order digital filters with minimum norm.

AB - Recently, new structures using complex arithmetic were proposed for the implementation of real coefficient HR digital filters. The quantization of the real-equivalent of a complex coefficient in these filters violates an assumption usually adopted in the analysis of coefficient sensitivity, i.e., quantization errors are uncorrected to each other. In this paper, a simple expression is derived to measure the L2 sensitivity of structures using complex arithmetic. Then, an explicit expression of the L2 sensitivity is obtained for second-order digital filters with minimum norm.

UR - https://www.scopus.com/pages/publications/85079149615

U2 - 10.1109/ICASSP.1994.389955

DO - 10.1109/ICASSP.1994.389955

M3 - Conference article

AN - SCOPUS:85079149615

SN - 0736-7791

VL - 3

SP - III601-III604

JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 389955

T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

ER -

On the sensitivity of realizations of real coefficient digital filters using complex arithmetic

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