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12 November 2024 Uniqueness condition for 1D signal reconstruction from power spectrum with related interference signal information
Yuan Tian, Yongda Pang, Yuling Li
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Proceedings Volume 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) ; 133953B (2024) https://doi.org/10.1117/12.3048834
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 on basis of this formulism some conditions are introduced to guarantee the uniqueness of solution in signal reconstruction. Such conditions are about the information of the interference signals and according to which an algorithm is established for signal construction. The algorithm is simple, efficient and its solution is unique in case of linear-phase signals. Some generalized and more practical conditions are also discussed.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Yuan Tian, Yongda Pang, and Yuling Li "Uniqueness condition for 1D signal reconstruction from power spectrum with related interference signal information", Proc. SPIE 13395, International Conference on Optics, Electronics, and Communication Engineering (OECE 2024) , 133953B (12 November 2024); https://doi.org/10.1117/12.3048834
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KEYWORDS
Reconstruction algorithms
Autocorrelation
Fourier transforms
Instrument modeling
Algorithm development
Nonlinear optics
Permeability
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