Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design
Joint Authors
Su, Lo-Chyuan
Jou, Yue-Dar
Chen, Fu-Kun
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
All-pass filter design can be generally achieved by solving a system of linear equations.
The associated matrices involved in the set of linear equations can be further formulated as a Toeplitz-plus-Hankel form such that a matrix inversion is avoided.
Consequently, the optimal filter coefficients can be solved by using computationally efficient Levinson algorithms or Cholesky decomposition technique.
In this paper, based on trigonometric identities and sampling the frequency band of interest uniformly, the authors proposed closed-form expressions to compute the elements of the Toeplitz-plus-Hankel matrix required in the least-squares design of IIR all-pass filters.
Simulation results confirm that the proposed method achieves good performance as well as effectiveness.
American Psychological Association (APA)
Su, Lo-Chyuan& Jou, Yue-Dar& Chen, Fu-Kun. 2013. Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008801
Modern Language Association (MLA)
Su, Lo-Chyuan…[et al.]. Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1008801
American Medical Association (AMA)
Su, Lo-Chyuan& Jou, Yue-Dar& Chen, Fu-Kun. Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008801