PENDANTSS: Noise, Trend and Sparse Spikes separation
版本 1.0.01 (843.8 KB) 作者:
Laurent Duval
PENDANTSS performs denoising, detrending and deconvolution for sparse peak-like signals (e.g. from analytical chemistry: chromatography)
Denoising, detrending, deconvolution: usual restoration tasks, traditionally decoupled. Coupled formulations entail complex ill-posed inverse problems. We propose PENDANTSS for joint trend removal and blind deconvolution of sparse peaklike signals. It blends a parsimonious prior with the hypothesis that smooth trend and noise can somewhat be separated by lowpass filtering. We combine the generalized pseudo-norm ratio SOOT/SPOQ sparse penalties with the BEADS ternary assisted source separation algorithm. This results in a both convergent and efficient tool, with a novel Trust-Region block alternating variable metric forward-backward approach. It outperforms comparable methods, when applied to typically peaked analytical chemistry signals.
引用格式
Paul Zheng, Emilie Chouzenoux, Laurent Duval (2023). PENDANTSS: Noise, Trend and Sparse Spikes separation (https://www.mathworks.com/matlabcentral/fileexchange/124425), MATLAB Central File Exchange. Retrieved February 6, 2023.
Paul Zheng, Emilie Chouzenoux, Laurent Duval. PENDANTSS: PEnalized Norm-ratios Disentangling Additive Noise, Trend and Sparse Spikes. Preprint, 2023. https://arxiv.org/abs/2301.01514
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参考作品: SOOT l1/l2 norm ratio sparse blind deconvolution, SPOQ: smooth, sparse ℓp-over-ℓq ratio regularization toolbox, BEADS: Baseline Estimation And Denoising with Sparsity
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