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Journal of Computer Science Technology Updates (Volume 1 Issue 1) |
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| An Improved All-Pass Filter Design Using Closed-Form Toeplitz-plus-Hankel Matrix |  |
| Pages 19-25 Yue-Dar Jou and Fu-Kun Chen DOI: http://dx.doi.org/10.15379/2410-2938.2014.01.01.03Published: 24 December 2014 |
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| Abstract | |
| The least-squares design of infinite impulse response all-pass filter can be formulated as to solve a system of linear equations without directly computing a matrix inversion. The set of linear equations associated matrix is further expressed as a Toeplitz-plus-Hankel matrix such that the optimal filter coefficients are efficiently solved by employing a robust Cholesky decomposition or the split Levinson technique. This paper proposes closed-form expressions for efficiently computing Toeplitz-plus-Hankel matrix based on trigonometric identities. The closed-form expressions of the Toeplitz-plus-Hankel matrix can be directly evaluated as the passband edges are specified without sampling the frequency band as that of the previous computing-efficiency algorithm. The proposed new and simpler closed-form expressions are indicated from simulation results to accurately improve the design performance as well as achieve computational efficiency. | |
| Keywords | |
| All-pass filter, Closed-form, Infinite Impulse Response, Least-squares, Toeplitz-plus-Hankel. | |
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