Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/16718
Authors: Huska, Martin* 
Cicone, Antonio* 
Kang, Sung-Ha* 
Morigi, Serena* 
Title: A Two-stage Signal Decomposition into Jump, Oscillation and Trend using ADMM
Journal: Image Processing On Line 
Series/Report no.: /13 (2023)
Issue Date: 2023
DOI: 10.5201/ipol.2023.417
Abstract: We present a thorough implementation of the two-stage framework proposed in [A.Cicone, M.Huska, S.H.Kangand, S.Morigi, JOT:a Variational Signal Decomposition into Jump, Oscillation and Trend, IEEE Transactions on Signal Processing, 2022]. The method assumes as input a 1D signal represented by a finite-dimensional vector in RN. In the first stage the signal is decomposed into Jump (piece-wise constant), Oscillation, and Trend (smooth) components, and in the second stage the results are refined using residuals of other components. We propose an efficient numerical solution for the first stage based on alternating direction method of multipliers, and a solid algorithm for the solution of the second stage.
Appears in Collections:Article published / in press

Files in This Item:
File Description SizeFormat
A Two-stage Signal Decomposition into Jump, Oscillation and Trend using ADMM.pdfOpen Access Published file923.92 kBAdobe PDFView/Open
Show full item record

Page view(s)

13
checked on Apr 27, 2024

Download(s)

4
checked on Apr 27, 2024

Google ScholarTM

Check

Altmetric