Stability Analysis of Fixed-Point Digital Filters using Computer Generated Lyapunov Functions- Part II: Wave Digital Filters and Lattice Digital Filters

A. Michel; Kelvin T. Erickson

doi:10.1109/TCS.1985.1085677

Stability Analysis of Fixed-Point Digital Filters using Computer Generated Lyapunov Functions- Part II: Wave Digital Filters and Lattice Digital Filters

A. Michel
, Kelvin T. Erickson

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In a companion paper [4], we utilize the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters which are in the direct form and in the coupled form. We continue this work in the present paper by considering wave digital filters and lattice digital filters. We believe that the results of the present paper and its companion paper demonstrate that the constructive algorithm constitutes an effective and general approach in the qualitative analysis of fixed-pointed digital filters.

Original language	American English
Journal	IEEE Transactions on Circuits and Systems
DOIs	https://doi.org/10.1109/TCS.1985.1085677
State	Published - Jan 1 1985

Keywords

Digital Filters
Lattice Filters
Lyapunov Methods
Wave Digital Filters

Disciplines

Electrical and Computer Engineering

Access to Document

10.1109/TCS.1985.1085677License: Unspecified

Stability Analysis of Fixed-Point Digital Filters using ComputerFinal published version, 1.06 MBLicense: Unspecified

Cite this

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title = "Stability Analysis of Fixed-Point Digital Filters using Computer Generated Lyapunov Functions- Part II: Wave Digital Filters and Lattice Digital Filters",

abstract = " In a companion paper [4], we utilize the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters which are in the direct form and in the coupled form. We continue this work in the present paper by considering wave digital filters and lattice digital filters. We believe that the results of the present paper and its companion paper demonstrate that the constructive algorithm constitutes an effective and general approach in the qualitative analysis of fixed-pointed digital filters.",

keywords = "Digital Filters, Lattice Filters, Lyapunov Methods, Wave Digital Filters",

author = "A. Michel and Erickson, \{Kelvin T.\}",

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language = "American English",

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AU - Michel, A.

AU - Erickson, Kelvin T.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - In a companion paper [4], we utilize the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters which are in the direct form and in the coupled form. We continue this work in the present paper by considering wave digital filters and lattice digital filters. We believe that the results of the present paper and its companion paper demonstrate that the constructive algorithm constitutes an effective and general approach in the qualitative analysis of fixed-pointed digital filters.

AB - In a companion paper [4], we utilize the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters which are in the direct form and in the coupled form. We continue this work in the present paper by considering wave digital filters and lattice digital filters. We believe that the results of the present paper and its companion paper demonstrate that the constructive algorithm constitutes an effective and general approach in the qualitative analysis of fixed-pointed digital filters.

KW - Digital Filters

KW - Lattice Filters

KW - Lyapunov Methods

KW - Wave Digital Filters

UR - https://scholarsmine.mst.edu/ele_comeng_facwork/1891

U2 - 10.1109/TCS.1985.1085677

DO - 10.1109/TCS.1985.1085677

M3 - Article

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

ER -

Stability Analysis of Fixed-Point Digital Filters using Computer Generated Lyapunov Functions- Part II: Wave Digital Filters and Lattice Digital Filters

Abstract

Keywords

Disciplines

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