2019
DOI: 10.3390/s19122777
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Reduced Cycle Spinning Method for the Undecimated Wavelet Transform

Abstract: The Undecimated Wavelet Transform is commonly used for signal processing due to its advantages over other wavelet techniques, but it is limited for some applications because of its computational cost. One of the methods utilized for the implementation of the Undecimated Wavelet Transform is the one known as Cycle Spinning. This paper introduces an alternative Cycle Spinning implementation method that divides the computational cost by a factor close to 2. This work develops the mathematical background of the pr… Show more

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Cited by 2 publications
(2 citation statements)
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“…However, the traditional wavelet transform-based noise reduction method suffers from the problems that the noise reduction effect depends on the mother wavelet and the difficulty of high-dimensional noise reduction, which makes it difficult to gain more advantages in the competition with BM3D, state-of-art, dictionary learning and other denoising algorithms. In light of this, lifting wavelet transform, 42 improved undecimated wavelet transform, 43 biorthogonal wavelet transform, 44 and other noise reduction improvement algorithms 45 49 based on wavelet transform have also been developed rapidly.…”
Section: Optimal Background Clutter Suppression Scheme Designmentioning
confidence: 99%
“…However, the traditional wavelet transform-based noise reduction method suffers from the problems that the noise reduction effect depends on the mother wavelet and the difficulty of high-dimensional noise reduction, which makes it difficult to gain more advantages in the competition with BM3D, state-of-art, dictionary learning and other denoising algorithms. In light of this, lifting wavelet transform, 42 improved undecimated wavelet transform, 43 biorthogonal wavelet transform, 44 and other noise reduction improvement algorithms 45 49 based on wavelet transform have also been developed rapidly.…”
Section: Optimal Background Clutter Suppression Scheme Designmentioning
confidence: 99%
“…Wavelet transform is a new transform analysis method. It inherits and develops the idea of localization of short-time Fourier transform and at the same time overcomes the shortcomings of window size that does not change with frequency and can provide a “time–frequency” window that changes with frequency; it is an ideal tool for signal time–frequency analysis and processing [ 21 , 22 , 23 ]. The Hilbert–Huang transform method mainly consists of two parts: empirical mode decomposition and Hilbert spectral analysis.…”
Section: Introductionmentioning
confidence: 99%