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We consider application of the discrete Fourier transform-spread orthogonal frequency-division multiplexing (DFT-spread OFDM) technique to high-speed fiber optic communications. The DFT-spread OFDM is a form of single-carrier technique that…

Information Theory · Computer Science 2011-03-01 Fanggang Wang , Xiaodong Wang

Nonlinearity mitigation using digital signal processing has been shown to increase the achievable data rates of optical fiber transmission links. One especially effective technique is digital back propagation (DBP), an algorithm capable of…

Signal Processing · Electrical Eng. & Systems 2018-08-31 Tom Sherborne , Benjamin Banks , Daniel Semrau , Robert I. Killey , Polina Bayvel , Domaniç Lavery

We demonstrate non-degenerate down-conversion at 810 and 1550 nm for long-distance fiber based quantum communication using polarization entangled photon pairs. Measurements of the two-photon visibility, without dark count subtraction, have…

Compensating for nonlinear effects using digital signal processing (DSP) is complex and computationally expensive in long-haul optical communication systems due to intractable interactions between Kerr nonlinearity, chromatic dispersion…

Signal Processing · Electrical Eng. & Systems 2023-08-24 Naveenta Gautam , Sai Vikranth Pendem , Brejesh Lall , Amol Choudhary

The modeling of optical wave propagation in optical fiber is a task of fast and accurate solving the nonlinear Schr\"odinger equation (NLSE), and can enable the optical system design, digital signal processing verification and fast waveform…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

A new method for finding solutions of the nonlinear Shr\"{o}dinger equation is proposed. Comutative multiplicative group of the nonlinear transformations, which operate on stationary localized solutions, enables a consideration of fractal…

solv-int · Physics 2009-09-25 S. Lekic , S. Galamic , Z. Rajilic

Recent studies have revealed that multi-soliton solutions of the nonlinear Schr\"odinger equation, as carriers of information, offer a promising solution to the problem of nonlinear signal distortions in fiber optic channels. In any…

Computational Physics · Physics 2018-02-06 V. Vaibhav

In this paper, we study the impact of computational complexity on the throughput limits of the {\color{black}fast Fourier transform (FFT)} algorithm for {\color{black}orthogonal frequency division multiplexing(OFDM)} waveforms. Based on the…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

Optical transport represents a natural route towards fast communications, and it is currently used in large scale data transfer. The progressive miniaturization of devices for information processing calls for the microscopic tailoring of…

Quantum Physics · Physics 2015-09-09 F. Fratini , E. Mascarenhas , L. Safari , J-Ph. Poizat , D. Valente , A. Auffèves , D. Gerace , M. F. Santos

We present an efficient, fast and robust Nonlinear Fourier Transform (NFT) algorithm to detect eigenvalues of the discrete spectrum. It outperforms other known NFT algorithms as it detects the eigenvalues from the continuous spectrum, the…

Information Theory · Computer Science 2018-12-10 Vahid Aref , Son T. Le , Henning Buelow

We experimentally demonstrate an NFDM optical system with modulation over nonlinear discrete spectrum. Particularly, each symbol carries 4-bits from multiplexing two eigenvalues modulated by QPSK constellation. We show a low error…

Information Theory · Computer Science 2015-08-12 Vahid Aref , Henning Buelow , Karsten Schuh , Wilfried Idler

Linear and nonlinear distortions in optical communication signals are equalized using an integrated feed-forward Photonic Neural Network (PNN). The PNN is based on a linear stage made of an 8-tap Finite Impulse Response (FIR) filter,…

We consider a nonlinear Fourier transform (NFT)-based transmission scheme, where data is embedded into the imaginary part of the nonlinear discrete spectrum. Inspired by probabilistic amplitude shaping, we propose a probabilistic eigenvalue…

Information Theory · Computer Science 2018-08-07 Andreas Buchberger , Alexandre Graell i Amat , Vahid Aref , Laurent Schmalen

Long-distance quantum communication requires entanglement between distant quantum memories. For this purpose, photon transmission is necessary to connect the distant memories. Here, for the first time, we develop a two-step frequency…

Non-classical light sources based on a single quantum emitter are considered as core technology for multiple quantum network architectures. A large variety of sources has been developed, but the generated photons remained far from being…

We experimentally realized a new method for transmitting quantum information reliably through paired optical polarization-maintaining (PM) fibers. The physical setup extends the use of a Mach-Zehnder interferometer, where noises are…

Quantum Physics · Physics 2016-03-08 Jin-Shi Xu , Man-Hong Yung , Xiao-Ye Xu , Jian-Shun Tang , Chuan-Feng Li , Guang-Can Guo

As wireless systems evolve toward higher frequencies and extremely large antenna arrays, near-field (NF) propagation becomes increasingly dominant. Unlike far-field (FF) communication, which relies on a planar-wavefront model and is limited…

Signal Processing · Electrical Eng. & Systems 2025-12-22 Lin Chen , Ahmed Elzanaty , Mustafa A. Kishk , Ying-Jun Angela Zhang

We propose an alignment-free two-party polarization-entanglement transmission scheme for entangled photons by using only linear-optical elements, requiring neither ancillary photons nor calibrated reference frames. The scheme is robust…

Quantum Physics · Physics 2020-01-08 Peng-Liang Guo , Tao Li , Qing Ai , Fu-Guo Deng

Various applications such as MRI, solution of PDEs, etc. need to perform an inverse nonequispaced fast Fourier transform (NFFT), i. e., compute $M$ Fourier coefficients from given $N$ nonequispaced data. In the present paper we consider…

Numerical Analysis · Mathematics 2025-06-09 Melanie Kircheis , Daniel Potts

The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

Signal Processing · Electrical Eng. & Systems 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger