Time-variant forward-backward FIR denoising of piecewise-smooth signals

Vite–Chavez, Osbaldo; Olivera-Reyna, Roberto; Ibarra-Manzano, Oscar; Shmaliy, Yuriy S.; Morales-Mendoza, Luis J.

doi:10.1016/j.aeue.2012.10.016

Cited by 8 publications

(2 citation statements)

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“…4) Repeat this procedure for all segments of the piecewise signal, from k q + 1 to k q+1 . Below, we show that this idea can efficiently be implemented in the FB denoising algorithm if to use the time-variant UFIR smoother [19], [20] developed from the smoothing FIR filter [21].…”

Section: Main Idea and Ufir Smoothermentioning

confidence: 99%

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A forward-backward UFIR algorithm for denoising of piecewise-smooth signals

Olivera-Reyna

Vite–Chavez

Morales-Mendoza

et al. 2013

2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)

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A new time-variant forward-backward (FB) unbiased finite impulse response (UFIR) smoothing algorithm is addressed to denoise piecewise signals with known or well detectable breakpoints. The algorithm unites advantages of linear structures with robustness of the nonlinear ones. The FB UFIR smoother has been examined in Gaussian and Cauchy noise environments in a comparison to the myriad filter. It is shown that the solution proposed preserves edges without jitter, provides efficient denoising, and is sufficiently robust against the heavytailed noise.

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Section: Main Idea and Ufir Smoothermentioning

confidence: 99%

“…The relevant low-degree responses (3) are postponed to Appendices A, after [19], [20], and we notice that h ln (N, p) has been discussed in detail in [21]- [26]. Utilizingh ln h ln (N, p), the UFIR smoother output is provided by the discrete convolution asx…”

Section: A Polynomial Smoother Impulse Responsementioning

confidence: 99%