A Resampling Method Based on Filter Designed by Window Function Considering Frequency Aliasing
Hao Liu, Jie Lin, Sudi Xu, Tianshu Bi, Yongzhao Lao
Abstract
Resampling technology is becoming increasingly critical, as different frequency components are required to be measured in one device. In this paper, a resampling method based on filter designed by window function is proposed to satisfy the requirements of different sampling rates. The frequency responses of the filter in the resampling model based on the Farrow structure are investigated, and the design criterion of the filter in the resampling model is proposed. A fractional delay filter design model based on window function method is established. A fractional delay filter coefficient matrix, which is expressed by a polynomial form, is constructed. Then, the expression related to the subfilter coefficients is obtained and subfilter coefficients are solved by the least-square method. The simulation results show that the filter designed by the proposed method has better performance when used for resampling as compared those designed by existing methods, and can efficiently prevent the occurrence of frequency aliasing and mirroring components in the process of sampling rate conversion. Therefore, the proposed method meets the conditions for application to existing measurement devices.