On eigenvalues and equivalent transformation of trigonometric matrices

On eigenvalues and equivalent transformation of trigonometric matrices

This paper discusses some issues related to trigonometric matrices arising from the design of finite impulse response (FIR) digital filters. A conjecture on the eigenvalues of a trigonometric matrix is posed with a partial proof given. A new result is also presented on the related equivalent transfo...

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Main Authors: Lin, Zhiping, Zhang, Dongye., Liu, Yongzhi.
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
Subjects:
DRNTU::Engineering::Electrical and electronic engineering
Online Access:https://hdl.handle.net/10356/99742
http://hdl.handle.net/10220/17657
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-99742
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spelling sg-ntu-dr.10356-997422020-03-07T14:00:31Z On eigenvalues and equivalent transformation of trigonometric matrices Lin, Zhiping Zhang, Dongye. Liu, Yongzhi. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering This paper discusses some issues related to trigonometric matrices arising from the design of finite impulse response (FIR) digital filters. A conjecture on the eigenvalues of a trigonometric matrix is posed with a partial proof given. A new result is also presented on the related equivalent transformation of this trigonometric matrix into a diagonal matrix. 2013-11-15T03:06:26Z 2019-12-06T20:10:55Z 2013-11-15T03:06:26Z 2019-12-06T20:10:55Z 2011 2011 Journal Article Zhang, D., Lin, Z., & Liu, Y. (2011). On eigenvalues and equivalent transformation of trigonometric matrices. Linear Algebra and its Applications, 436(1), 71-78. https://hdl.handle.net/10356/99742 http://hdl.handle.net/10220/17657 10.1016/j.laa.2011.06.025 en Linear algebra and its applications
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Lin, Zhiping
Zhang, Dongye.
Liu, Yongzhi.
On eigenvalues and equivalent transformation of trigonometric matrices
description This paper discusses some issues related to trigonometric matrices arising from the design of finite impulse response (FIR) digital filters. A conjecture on the eigenvalues of a trigonometric matrix is posed with a partial proof given. A new result is also presented on the related equivalent transformation of this trigonometric matrix into a diagonal matrix.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Lin, Zhiping
Zhang, Dongye.
Liu, Yongzhi.
format Article
author Lin, Zhiping
Zhang, Dongye.
Liu, Yongzhi.
author_sort Lin, Zhiping
title On eigenvalues and equivalent transformation of trigonometric matrices
title_short On eigenvalues and equivalent transformation of trigonometric matrices
title_full On eigenvalues and equivalent transformation of trigonometric matrices
title_fullStr On eigenvalues and equivalent transformation of trigonometric matrices
title_full_unstemmed On eigenvalues and equivalent transformation of trigonometric matrices
title_sort on eigenvalues and equivalent transformation of trigonometric matrices
publishDate 2013
url https://hdl.handle.net/10356/99742
http://hdl.handle.net/10220/17657
_version_ 1681035682260189184

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