Compressive split-step Fourier method
Yükleniyor...
Dosyalar
Tarih
2015-02-09
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be modeled by using differential equations. The proposed method depends on the idea of using a smaller number of spectral components compared to the classical split-step Fourier method with a high number of components. After performing the time integration with a smaller number of spectral components and using the compressive sampling technique with l(1) minimization, it is shown that the sparse signal can be reconstructed with a significantly better efficiency compared to the classical split-step Fourier method. Proposed method can be named as compressive split-step Fourier method (CSSFM). For testing of the proposed method the Nonlinear Schrodinger Equation and its one-soliton and two-soliton solutions are considered.
Açıklama
Anahtar Kelimeler
Compressive sampling, Nonlinear Schrodinger equation, Sparse signals, Split step Fourier method, Equation
Kaynak
TWMS Journal of Applied and Engineering Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
5
Sayı
2
Künye
Bayındır, C. (2015). Compressive split-step Fourier method. Journal of Applied and Engineering Mathematics, 5(2), 298-306.
