The Chebyshev design of complex FIR finite impulse response filters with equation constrains is investigated. A similar alternation theorem is obtained by generalizing the alternation theorem to complex domain. 研究了等式约束复系数FIR滤波器的Chebyshev设计问题,将交错定理从实域推广到复域带有等式约束的情况,得到了类似的交错定理。
Studying the best mixed-norm approximation for nonlinear cases, this paper gives characterizations of such approximation for a family of not mere convex subsets, which includes Kolmogorov's type theorem and Chebyshev alternation theorem, etc. 本文研究了非线性最佳混合范数逼近问题,对一类不仅仅是凸的子集给出了最佳混合范数逼近的特征,其中包括了Kolmogorov型定理和Chcbyshcv交错定理等。
Based on Tchebycheff's alternation theorem, an improvement is made on Remes's algorithm, thus allowing a better geometric interpretation and a simpler calculation of the algorithm. 本文根据切比雪夫交错点组原理,对里米兹算法作了一定改进,使其有明确的几何意义,计算工作量也有所减少。