| Autor: |
Fu-Kun Chen, Yue-Dar Jou |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
Journal of Computer Science Technology Updates. 1:19-25 |
| ISSN: |
2410-2938 |
| DOI: |
10.15379/2410-2938.2014.01.01.03 |
| Popis: |
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. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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