Piecewise convolution is an important way for DFT/FFT algorithm to calculate linear convolution.It mainly includes overlapping reservation and overlap-add methods.During the teaching process,students often ignore the principle of the algorithm when learning the overlapping reservation method,resulting in calculation errors.Based on the mathematical relationship between circular convolution and linear convolution,this article deduces the reasons for the calculation error of the overlapping reservation method,and obtains the calculation process of the overlapping reservation method.Combining the calculation process and specific examples,it analyzes the reasons for the missing calculation data,and innovatively proposes the solution.Then,it analyzes the impact of zero-padding processing on the overlapping preservation method under the base 2-FFT algorithm,and optimizes the steps for calculating linear convolution using the overlapping reservation and FFT algorithms.Finally,a teaching case is designed using the modulation spectrum analysis,and corresponding teaching suggestions are given for the overlapping reservation method.
国家科技期刊平台
NSTL
万方数据
维普
