Data Unfolding with Wiener-SVD Method
Abstract
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:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- State Univ. of New York at Stony Brook, Stony Brook, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1408696
- Report Number(s):
- BNL-114378-2017-JA
Journal ID: ISSN 1748-0221; R&D Project: PO-022; KA2201020
- Grant/Contract Number:
- SC0012704
- Resource 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)
- 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
Citation Formats
Tang, W., Li, X., Qian, X., Wei, H., and Zhang, C. Data Unfolding with Wiener-SVD Method. United States: N. p., 2017.
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. https://doi.org/10.1088/1748-0221/12/10/P10002
Tang, W., Li, X., Qian, X., Wei, H., and Zhang, C. Wed .
"Data Unfolding with Wiener-SVD Method". United States. https://doi.org/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 = {Wed Oct 04 00:00:00 EDT 2017},
month = {Wed Oct 04 00:00:00 EDT 2017}
}
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