A matrix-based IRLS algorithm for the least lp-norm design of 2-D FIR filters
Fast design of two-dimensional FIR filters in the least lp-norm sense is investigatedin this brief. The design problem is first formulated in a matrix form and then solved by amatrix-based iterative reweighted least squares algorithm. The proposed algorithm includestwo loops: one for updating the we...
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| Main Authors: | , , , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2020
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/144893 |
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| 總結: | Fast design of two-dimensional FIR filters in the least lp-norm sense is investigatedin this brief. The design problem is first formulated in a matrix form and then solved by amatrix-based iterative reweighted least squares algorithm. The proposed algorithm includestwo loops: one for updating the weighting function and the other for solving the weightedleast squares (WLS) subproblems. These WLS subproblems are solved using an efficientmatrix-based WLS algorithm, which is an iterative procedure with its initial iterative matrixbeing the solution matrix in the last iteration, resulting in a considerable CPU-time saving.Through analysis, the new algorithm is shown to have a lower complexity than existingmethods. Three design examples are provided to illustrate the high computational efficiencyand design precision of the proposed algorithm. |
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