n-Order linear state space systems: Computing the transfer function using the DFT

George E. Antoniou

doi:10.1016/j.amc.2005.01.005

n-Order linear state space systems: Computing the transfer function using the DFT

George E. Antoniou

Computer Science

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

Abstract

The discrete Fourier transform is used to determine the coefficients of a transfer function for n-order linear systems: x(n)=∑i=1nAix(n-i)+Bu. The algorithm is fast, straight forward and easily can be implemented. Two step-by-step examples, illustrating the application of the algorithm, are presented.

Original language	English
Pages (from-to)	1077-1084
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	170
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.01.005
State	Published - 15 Nov 2005

Keywords

Fourier transform
Transfer function
n-order systems

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10.1016/j.amc.2005.01.005

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title = "n-Order linear state space systems: Computing the transfer function using the DFT",

abstract = "The discrete Fourier transform is used to determine the coefficients of a transfer function for n-order linear systems: x(n)=∑i=1nAix(n-i)+Bu. The algorithm is fast, straight forward and easily can be implemented. Two step-by-step examples, illustrating the application of the algorithm, are presented.",

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N2 - The discrete Fourier transform is used to determine the coefficients of a transfer function for n-order linear systems: x(n)=∑i=1nAix(n-i)+Bu. The algorithm is fast, straight forward and easily can be implemented. Two step-by-step examples, illustrating the application of the algorithm, are presented.

AB - The discrete Fourier transform is used to determine the coefficients of a transfer function for n-order linear systems: x(n)=∑i=1nAix(n-i)+Bu. The algorithm is fast, straight forward and easily can be implemented. Two step-by-step examples, illustrating the application of the algorithm, are presented.

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KW - Transfer function

KW - n-order systems

UR - https://www.scopus.com/pages/publications/27144508397

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DO - 10.1016/j.amc.2005.01.005

M3 - Article

AN - SCOPUS:27144508397

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EP - 1084

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

n-Order linear state space systems: Computing the transfer function using the DFT

Abstract

Keywords

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