| 约束Chebyshev逼近及在FIR滤波器设计中的应用 |
| |
| 引用本文： | 赖晓平.约束Chebyshev逼近及在FIR滤波器设计中的应用[J].山东大学学报(理学版),2003,38(1):14-19. |
| |
| 作者姓名： | 赖晓平 |
| |
| 作者单位： | 山东大学,威海分校信息科学与控制工程系,威海,264209 |
| |
| 基金项目： | 国家自然科学基金资助项目 (60 2 75 0 0 6)，山东省自然科学基金资助项目 (Y2 0 0 1G0 8) |
| |
| 摘 要： | 考虑了一类约束Chebyshev逼近问题 ,应用序列无约束优化技术证明了最佳逼近三角多项式具有的特征性质 ,并提出求解最佳逼近多项式的一种具有良好数字特性的实用算法 .作为约束Chebyshev逼近的应用 ,考虑了一类约束FIR滤波器的设计问题 ,设计例子表明了最佳逼近三角多项式求解算法的有效性 .
|
| 关 键 词： | Chebyshev逼近 序列无约束优化方法 OPRemez算法 FIR滤波器设计 |
| 文章编号： | 1671-9352(2003)01-0014-06 |
| 修稿时间： | 2002年1月11日 |
Constrained Chebyshev Aproximation:Theory and Application in FIR-Filter Design |
| |
| LAI Xiao,ping.Constrained Chebyshev Aproximation:Theory and Application in FIR-Filter Design[J].Journal of Shandong University,2003,38(1):14-19. |
| |
| Authors: | LAI Xiao ping |
| |
| Abstract: | A class of constrained Chebyshev approximation problems is considered in this paper. Using the sequential unconstrained optimization techniques, the optimal approximative polynomial is proved to have a characteristic property similar to that of the optimal polynomial for unconstrained Chebyshev approximation. According to this property, an algorithm with good numerical performance for calculating the optimal approximative polynomial is proposed. As application of constrained Chebyshev approximation, the design of FIR filters with frequency equation constraints is also considered. Simulation examples demonstrate the effectiveness of the proposed algorithm for the optimal approximative polynomial. |
| |
| Keywords: | Chebyshev approximation sequential unconstrained optimization technique OPRemez algorithm FIR filter design |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
