广西师范大学学报（自然科学版）2024，Vol.42Issue(4)：124-136,13.DOI:10.16088/j.issn.1001-6600.2023102201
利用四阶样条小波快速计算信号的希尔伯特变换
Fast Algorithm for Hilbert Transform of a Signal by Using Cubic Splines Wavelets
摘要
Abstract
Computation for the Hilbert transform of a given signal over a finite interval is an important problem in data analysis.In the existing method,the best algorithm has the computational complexity O(nlog n).In order to obtain a faster computational speed,this paper proposes a fast algorithm based upon cubic spline wavelets,which can reduces the computational complexity from O(nlog n)to O(n).Numerical results show that the proposed method does have faster computational speed,while keeping a comparable computational accuracy with the best existing method.关键词
希尔伯特变换/样条小波/基数B-样条/快速算法/计算复杂度Key words
Hilbert transform/splines wavelets/cardinal B-splines/fast algorithm/computational complexity分类
数理科学引用本文复制引用
康会刚,余波..利用四阶样条小波快速计算信号的希尔伯特变换[J].广西师范大学学报（自然科学版）,2024,42(4):124-136,13.基金项目
国家自然科学基金(11871305) （11871305）
三峡大学自然科学基金横向项目(HZ2023215) （HZ2023215）
