一种设计最佳内插滤波器的方法

On the Design of Optimum Interpolation Filter

提出了一种基于切比雪夫最佳一致逼近的内插滤波器设计方法。与传统方法在时域逼近理想滤波器不同,文章根据滤波器的指标要求设计等波纹奈奎斯特FIR滤波器作为原型,通过原型滤波器的时域插值和卷积得到最佳内插滤波器。原型滤波器和时域插值滤波器保证了最佳内插滤波器可以精确控制其频率响应以满足各种性能要求,而与其他内插滤波器的对比仿真实验表明,最佳内插滤波器是理想滤波器的最佳一致逼近,在各种相同响应时间的滤波器中性能最优。

This paper presents a method of interpolation filter design with minimum Chebyshev error in approximating a desired ideal frequency response.Other than traditional ways of approximating ideal filter in time domain,this method,according to design requirement,comes up with a prototype of Equiripple Nyquist Filter,of which an Optimum Interpolation Filter（OIF）is proposed by time-domain interpolation and convolution.The prototype filter and time-domain interpolation filter endow OIF the ability to accurately control its frequency response under various circumstances.And the simulation results reveal that OIF provides not only the best performance among all kinds of filters with the same response time,but also the best Chebyshev approximation of ideal filter.