Uncertainty Analysis of Decomposition Level Choice in Wavelet Threshold De-Noising

Sang, Yan‐Fang; Wang, Dong; Wu, Jichun

doi:10.3390/e12122386

Cited by 6 publications

(1 citation statement)

References 24 publications

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“…However, how to identify the obvious difference is an open question. To overcome this uncertainty, an improved version was developed by the same authors, which adopted confidence interval for the WEE and differential coefficient of WEE [8]. Similar idea has been taken in [9], but using χ 2 hypothesis test to verify the white noise instead of WEE.…”

Section: Introductionmentioning

confidence: 99%

An Approach to Determining the Decomposition Level for Wavelet De-Nosing Based on Gamma Test

Yang

Chen

2013

AMR

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The wavelet de-noising approach is one of the most efficient techniques for noise reduction. Except for the mathematical elegancy in its theoretical aspect, a successful application requires appropriate determination on the decomposition level. This paper proposes a novel approach to selecting an appropriate decomposition level by applying the Gamma test on the noisy data to estimate the noise variance. A number of experiments were carried out on a set of smooth signals corrupted by white Gaussian noise to verify the effectiveness of the proposed approach and a set of traffic flow data was used to demonstrate the application of the proposed approach on the real-world de-nosing task. The experimental results indicate that the proposed approach is effective to determine the decomposition level.

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Section: Introductionmentioning

confidence: 99%