Design of multiplier-free state-space digital filters

Tamal Bose; Zhurun Zhang; Ojas Chauhan; Miloje Radenkovic

doi:10.1109/ISCAS.2005.1465156

Design of multiplier-free state-space digital filters

Tamal Bose, Zhurun Zhang, Ojas Chauhan, Miloje Radenkovic

Electrical and Computer Engineering

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

Abstract

In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplierfree design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A "structure-transformation matrix" is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structuretransformation matrix. Simulation results are very promising and illustrate the design algorithm.

Original language	English (US)
Article number	1465156
Pages (from-to)	2591-2594
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
DOIs	https://doi.org/10.1109/ISCAS.2005.1465156
State	Published - 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: May 23 2005 → May 26 2005

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1465156

Cite this

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title = "Design of multiplier-free state-space digital filters",

abstract = "In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplierfree design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A {"}structure-transformation matrix{"} is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structuretransformation matrix. Simulation results are very promising and illustrate the design algorithm.",

author = "Tamal Bose and Zhurun Zhang and Ojas Chauhan and Miloje Radenkovic",

year = "2005",

doi = "10.1109/ISCAS.2005.1465156",

language = "English (US)",

pages = "2591--2594",

journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

issn = "0271-4310",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

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TY - JOUR

T1 - Design of multiplier-free state-space digital filters

AU - Bose, Tamal

AU - Zhang, Zhurun

AU - Chauhan, Ojas

AU - Radenkovic, Miloje

PY - 2005

Y1 - 2005

N2 - In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplierfree design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A "structure-transformation matrix" is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structuretransformation matrix. Simulation results are very promising and illustrate the design algorithm.

AB - In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplierfree design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A "structure-transformation matrix" is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structuretransformation matrix. Simulation results are very promising and illustrate the design algorithm.

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U2 - 10.1109/ISCAS.2005.1465156

DO - 10.1109/ISCAS.2005.1465156

M3 - Conference article

SN - 0271-4310

SP - 2591

EP - 2594

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

M1 - 1465156

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

Design of multiplier-free state-space digital filters

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