利用四阶样条快速计算信号的希尔伯特变换

doi:10.16088/j.issn.1001-6600.2021082704

Abstract

Abstract: The computation for the Hilbert transform of a given signal over a finite interval is an important problem in signal processing. Although the Hilbert spline transform (HST) method with order three demonstrates high order computational accuracy and the speed of O(nlog n), there is a disadvantage of this method: the grid of the B-spline knots must be different from the sample points to avoid singularities in the computation. To solve this problem, the spline function with order four is used to implement the Hilbert spline transform. To prove the effectiveness of the proposed method,several function of the Hilbert transform are calculated by using the cubic spline. Numerical results show that the proposed method has excellent performance in both computational speed and computational accuracy.

Key words: Hilbert transform, splines, Hilbert spline transform, fast algorithm, cubic splines

CLC Number:

O174

QIN Xiaoxiao, YU Bo. Fast Algorithm for the Hilbert Transform of a Signalby Using Cubic Splines[J].Journal of Guangxi Normal University(Natural Science Edition), 2022, 40(4): 126-135.

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Fast Algorithm for the Hilbert Transform of a Signalby Using Cubic Splines

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