CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 13395 > Article
Open Access Paper
12 November 2024 Uniqueness conditions for 1D signal reconstruction from power spectrum with additional data term information
Yuan Tian, Yongda Pang, Yuling Li
Author Affiliations +
Proceedings Volume 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) ; 1339538 (2024) https://doi.org/10.1117/12.3048832
Event: International Conference on Optics, Electronics, and Communication Engineering, 2024, Wuhan, China
Abstract
Signal reconstruction from its power spectrum is an important technique widely useful in different application fields. However, uniqueness is generally hard to be guaranteed by usual approaches due to nonlinearity of the power spectrum measurement models. In this paper a very general structure of the 1-dimensonal signal with given power spectrum is established and some conditions are introduced to guarantee the uniqueness of solution in signal reconstruction on basis of this formulism. Such conditions are about one or more additional information of the signal component and two algorithms are established for signal construction. One of the algorithms is exact and another one is iterative and approximate, both can reach the real signal under the introduced conditions.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
Citation Download Citation
Yuan Tian, Yongda Pang, and Yuling Li "Uniqueness conditions for 1D signal reconstruction from power spectrum with additional data term information", Proc. SPIE 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) , 1339538 (12 November 2024); https://doi.org/10.1117/12.3048832
PROCEEDINGS
 7 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Reconstruction algorithms
Autocorrelation
Data modeling
Algorithm development
Fourier transforms
Instrument modeling
Interpolation
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top