Transformation Matrix for Time Discretization Based on Tustin’s Method
Joint Authors
Hu, Xiaodong
Wu, Sen
Jiang, Yiming
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper studies rules in transformation of transfer function through time discretization.
A method of using transformation matrix to realize bilinear transform (also known as Tustin’s method) is presented.
This method can be described as the conversion between the coefficients of transfer functions, which are expressed as transform by certain matrix.
For a polynomial of degree n, the corresponding transformation matrix of order n exists and is unique.
Furthermore, the transformation matrix can be decomposed into an upper triangular matrix multiplied with another lower triangular matrix.
And both have obvious regularity.
The proposed method can achieve rapid bilinear transform used in automatic design of digital filter.
The result of numerical simulation verifies the correctness of the theoretical results.
Moreover, it also can be extended to other similar problems.
Example in the last throws light on this point.
American Psychological Association (APA)
Jiang, Yiming& Hu, Xiaodong& Wu, Sen. 2014. Transformation Matrix for Time Discretization Based on Tustin’s Method. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-506949
Modern Language Association (MLA)
Jiang, Yiming…[et al.]. Transformation Matrix for Time Discretization Based on Tustin’s Method. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-506949
American Medical Association (AMA)
Jiang, Yiming& Hu, Xiaodong& Wu, Sen. Transformation Matrix for Time Discretization Based on Tustin’s Method. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-506949
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506949