On eigenvalues and equivalent transformation of trigonometric matrices |
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| Authors: | Dongye Zhang Zhiping Lin Yongzhi Liu |
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| Affiliation: | 1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S2, Nanyang Avenue, Singapore 639798, Singapore;2. GE China Technology Center, Shanghai 201203, China |
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| Abstract: | ![]()
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. |
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