Eigenvalue analysis of time separated signals using layer-peeling property

Terence Chan; Wen Qi Zhang; Shahraam Afshar Vahid

doi:10.1117/12.2539901

30 December 2019 Eigenvalue analysis of time separated signals using layer-peeling property

Terence Chan, Wen Qi Zhang, Shahraam Afshar Vahid

Proceedings Volume 11200, AOS Australian Conference on Optical Fibre Technology (ACOFT) and Australian Conference on Optics, Lasers, and Spectroscopy (ACOLS) 2019; 112002W (2019) https://doi.org/10.1117/12.2539901
Event: ANZCOP, 2019, Melbourne, Australia

Abstract

In this paper, we study the Nonlinear Fourier Transform of a signal formed by adding two time-separated pulses. By using the layer peeling property, we show that the eigenvalues of the signal are well approximated by the union of those for the two component pulses separately. The accuracy level of the approximation increases as the component pulses are further separated in time. Scattering coefficients and spectral amplitudes of the signal are also derived, which explain the correlation in eigenvalues, scattering coefficients and spectral amplitudes between the signal and the component pulses.

Citation Download Citation

Terence Chan, Wen Qi Zhang, and Shahraam Afshar Vahid "Eigenvalue analysis of time separated signals using layer-peeling property", Proc. SPIE 11200, AOS Australian Conference on Optical Fibre Technology (ACOFT) and Australian Conference on Optics, Lasers, and Spectroscopy (ACOLS) 2019, 112002W (30 December 2019); https://doi.org/10.1117/12.2539901

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KEYWORDS

Scattering

Analytical research

Fourier transforms

Nonlinear optics

Complex systems

Modulation

Orthogonal frequency division multiplexing

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