Spectral data de-noising using semi-classical signal analysis: application to localized MRS

Taous-Meriem Laleg-Kirati, Jiayu Zhang, Eric Achten, Hacene Serrai

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we propose a new post-processing technique called semi-classical signal analysis (SCSA) for MRS data de-noising. Similar to Fourier transformation, SCSA decomposes the input real positive MR spectrum into a set of linear combinations of squared eigenfunctions equivalently represented by localized functions with shape derived from the potential function of the Schrodinger operator. In this manner, the MRS spectral peaks represented as a sum of these 'shaped like' functions are efficiently separated from noise and accurately analyzed. The performance of the method is tested by analyzing simulated and real MRS data. The results obtained demonstrate that the SCSA method is highly efficient in localized MRS data de-noising and allows for an accurate data quantification.
Original languageEnglish (US)
Pages (from-to)1477-1485
Number of pages9
JournalNMR in Biomedicine
Volume29
Issue number10
DOIs
StatePublished - Sep 5 2016

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