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Title: Data Unfolding with Wiener-SVD Method

Here, data unfolding is a common analysis technique used in HEP data analysis. Inspired by the deconvolution technique in the digital signal processing, a new unfolding technique based on the SVD technique and the well-known Wiener filter is introduced. The Wiener-SVD unfolding approach achieves the unfolding by maximizing the signal to noise ratios in the effective frequency domain given expectations of signal and noise and is free from regularization parameter. Through a couple examples, the pros and cons of the Wiener-SVD approach as well as the nature of the unfolded results are discussed.
Authors:
 [1] ;  [2] ;  [1] ;  [1] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. State Univ. of New York at Stony Brook, Stony Brook, NY (United States)
Publication Date:
Report Number(s):
BNL-114378-2017-JA
Journal ID: ISSN 1748-0221; R&D Project: PO-022; KA2201020
Grant/Contract Number:
SC0012704
Type:
Accepted Manuscript
Journal Name:
Journal of Instrumentation
Additional Journal Information:
Journal Volume: 12; Journal Issue: 10; Journal ID: ISSN 1748-0221
Publisher:
Institute of Physics (IOP)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Unfolding; SVD; Wiener; filter; Analysis and statistical methods; Data processing methods
OSTI Identifier:
1408696

Tang, W., Li, X., Qian, X., Wei, H., and Zhang, C.. Data Unfolding with Wiener-SVD Method. United States: N. p., Web. doi:10.1088/1748-0221/12/10/P10002.
Tang, W., Li, X., Qian, X., Wei, H., & Zhang, C.. Data Unfolding with Wiener-SVD Method. United States. doi:10.1088/1748-0221/12/10/P10002.
Tang, W., Li, X., Qian, X., Wei, H., and Zhang, C.. 2017. "Data Unfolding with Wiener-SVD Method". United States. doi:10.1088/1748-0221/12/10/P10002. https://www.osti.gov/servlets/purl/1408696.
@article{osti_1408696,
title = {Data Unfolding with Wiener-SVD Method},
author = {Tang, W. and Li, X. and Qian, X. and Wei, H. and Zhang, C.},
abstractNote = {Here, data unfolding is a common analysis technique used in HEP data analysis. Inspired by the deconvolution technique in the digital signal processing, a new unfolding technique based on the SVD technique and the well-known Wiener filter is introduced. The Wiener-SVD unfolding approach achieves the unfolding by maximizing the signal to noise ratios in the effective frequency domain given expectations of signal and noise and is free from regularization parameter. Through a couple examples, the pros and cons of the Wiener-SVD approach as well as the nature of the unfolded results are discussed.},
doi = {10.1088/1748-0221/12/10/P10002},
journal = {Journal of Instrumentation},
number = 10,
volume = 12,
place = {United States},
year = {2017},
month = {10}
}