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 .
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.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2003年第1期14-19,共6页
Journal of Shandong University(Natural Science)
基金
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)
