Optical Inverse Fourier Transform Generated 11.2-Tbit/s No-Guard-Interval All-Optical OFDM Transmission

2013 ◽  
Author(s):  
Liang B. Du ◽  
Jochen Schröder ◽  
M. Monir Morshed ◽  
Benjamin J. Eggleton ◽  
Arthur J. Lowery
Keyword(s):  
Fourier Transform ◽  
Inverse Fourier Transform ◽  
Guard Interval ◽  
All Optical ◽  
Optical Ofdm

All-optical fast fourier transform for processing an optical OFDM superchannel

2017 ◽  
Author(s):  
Rafael J. L. Ferreira ◽  
Diego M. Dourado ◽  
Matheus M. Rodrigues ◽  
Monica L. Rocha ◽  
Sandro M. Rossi ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
All Optical ◽  
Optical Ofdm

scholarly journals 5×200Gbit/s all-optical OFDM transmission using a single optical source and optical Fourier transform real-time detection

2011 ◽  
Vol 19 (22) ◽  
pp. 21199 ◽  
Author(s):  
Hongwei Chen ◽  
Xingyao Gu ◽  
Feifei Yin ◽  
Minghua Chen ◽  
Shizhong Xie
Keyword(s):  
Fourier Transform ◽  
Real Time ◽  
Optical Source ◽  
All Optical ◽  
Optical Ofdm ◽  
Real Time Detection ◽  
Optical Fourier Transform

scholarly journals Energy-efficient 026-Tb/s coherent-optical OFDM transmission using photonic-integrated all-optical discrete Fourier transform

2012 ◽  
Vol 20 (2) ◽  
pp. 896 ◽  
Author(s):  
I. Kang ◽  
X. Liu ◽  
S. Chandrasekhar ◽  
M. Rasras ◽  
H. Jung ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Energy Efficient ◽  
All Optical ◽  
Optical Ofdm

scholarly journals All-optical OFDM demultiplexing with optical partial Fourier transform and coherent sampling

2019 ◽  
Vol 44 (2) ◽  
pp. 443 ◽  
Author(s):  
Zihan Geng ◽  
Deming Kong ◽  
Bill Corcoran ◽  
Pengyu Guan ◽  
Francesco Da Ros ◽  
...  
Keyword(s):  
Fourier Transform ◽  
All Optical ◽  
Optical Ofdm

Performance monitoring on the orthogonality among the multisubcarriers of an all-optical OFDM system

2009 ◽  
Author(s):  
Shumin Zou ◽  
Nan Chi ◽  
Yufeng Shao ◽  
Xi Zheng ◽  
Junwen Zhang ◽  
...  
Keyword(s):  
Performance Monitoring ◽  
Ofdm System ◽  
All Optical ◽  
Optical Ofdm

scholarly journals Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function

2014 ◽  
Vol 2014 ◽  
pp. 1-24 ◽  
Author(s):  
David W. Pravica ◽  
Njinasoa Randriampiry ◽  
Michael J. Spurr
Keyword(s):  
Fourier Transform ◽  
Theta Function ◽  
Legendre Polynomial ◽  
Legendre Polynomials ◽  
Inverse Fourier Transform ◽  
Recursion Relations ◽  
Jacobi Theta Function ◽  
Convergence Results ◽  
The Family ◽  
Reciprocal Symmetry

The family ofnth orderq-Legendre polynomials are introduced. They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the recursion relations and ODEs satisfied by thenth degree Legendre polynomials. Thenth orderq-Legendre polynomials are shown to have vanishingkth moments for0≤k<n, as does thenth degree truncated Legendre polynomial. Convergence results are obtained, approximations are given, a reciprocal symmetry is shown, and nearly orthonormal frames are constructed. Conditions are given under which a MADE remains a MADE under inverse Fourier transform. This is used to construct new wavelets as solutions of MADEs.

Effect of the Condition Number of the Inverse Fourier Transform Matrix on the Solution Behavior of the Time Spectral Equation System

2020 ◽  
Author(s):  
Sen Zhang ◽  
Dingxi Wang ◽  
Yi Li ◽  
Hangkong Wu ◽  
Xiuquan Huang
Keyword(s):  
Fourier Transform ◽  
Stability Analysis ◽  
Condition Number ◽  
Inverse Fourier Transform ◽  
Real Life ◽  
Equation System ◽  
Time Instant ◽  
Transform Matrix ◽  
Spectral Equation ◽  
The Impact

Abstract The time spectral method is a very popular reduced order frequency method for analyzing unsteady flow due to its advantage of being easily extended from an existing steady flow solver. Condition number of the inverse Fourier transform matrix used in the method can affect the solution convergence and stability of the time spectral equation system. This paper aims at evaluating the effect of the condition number of the inverse Fourier transform matrix on the solution stability and convergence of the time spectral method from two aspects. The first aspect is to assess the impact of condition number using a matrix stability analysis based upon the time spectral form of the scalar advection equation. The relationship between the maximum allowable Courant number and the condition number will be derived. Different time instant groups which lead to the same condition number are also considered. Three numerical discretization schemes are provided for the stability analysis. The second aspect is to assess the impact of condition number for real life applications. Two case studies will be provided: one is a flutter case, NASA rotor 67, and the other is a blade row interaction case, NASA stage 35. A series of numerical analyses will be performed for each case using different time instant groups corresponding to different condition numbers. The conclusion drawn from the two real life case studies will corroborate the relationship derived from the matrix stability analysis.

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