论文标题
基于Chebyshev多项式的功能，作为FIR滤波器设计中SINC函数的替代品
A Function Based on Chebyshev Polynomials as an Alternative to the Sinc Function in FIR Filter Design
论文作者
论文摘要
SINC函数通常被用作设计离散线性相关FIR滤波器设计的基础。然而，由于吉布斯现象，截短的SINC函数的傅立叶变换在通行带中表现出涟漪。本文介绍了基于Chebyshev多项式的替代功能，其傅立叶变换在传球带中单调降低。此外，此函数具有固有的窗口函数，其可调参数影响了过渡和停止频段中的傅立叶变换。
The sinc function is often used as the basis for the design of discrete linear-phase FIR filters. However the Fourier transform of the truncated sinc function exhibits ripple in the pass band due to the Gibbs phenomenon. This paper introduces an alternative function based on Chebyshev polynomials whose Fourier transform decreases monotonically in the pass band. Furthermore this function features an intrinsic window function with an adjustable parameter influencing the Fourier transform in the transition and stop bands.
