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We propose a probabilistic shaping approach for region-of-interest signaling, where a low-rate signal controls the desired probabilistic ranges of a high-rate data stream using a flexible distribution controller. In addition, we introduce…

信号处理 · 电气工程与系统科学 2022-09-05 Duc-Phuc Nguyen , Yoshifumi Shiraki , Jun Muramatsu , Takehiro Moriya

The performance of different probabilistic amplitude shaping (PAS) techniques in the nonlinear regime is investigated, highlighting its dependence on the PAS block length and the interaction with carrier phase recovery (CPR). Different PAS…

信息论 · 计算机科学 2023-05-24 Stella Civelli , Emanuele Parente , Enrico Forestieri , Marco Secondini

We present a sublinear randomized algorithm to compute a sparse Fourier transform for nonequispaced data. Suppose a signal S is known to consist of N equispaced samples, of which only L<N are available. If the ratio p=L/N is not close to 1,…

数值分析 · 数学 2007-05-23 Jing Zou

A class of nonstandard pseudospectral time domain (PSTD) schemes for solving time-dependent hyperbolic and parabolic partial differential equations (PDEs) is introduced. These schemes use the Fourier collocation spectral method to compute…

计算物理 · 物理学 2018-03-23 Bradley E. Treeby , Elliott S. Wise , B. T. Cox

We propose a neural network for both forward and inverse continuous nonlinear Fourier transforms, NFT and INFT respectively. We demonstrate the network's capability to perform NFT and INFT for a random mix of NFDM-QAM signals. The network…

信号处理 · 电气工程与系统科学 2024-07-17 Wen Qi Zhang , Terence H. Chan , Shahraam Afshar V.

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

信号处理 · 电气工程与系统科学 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

Common datasets have the form of elements with keys (e.g., transactions and products) and the goal is to perform analytics on the aggregated form of key and frequency pairs. A weighted sample of keys by (a function of) frequency is a highly…

机器学习 · 计算机科学 2021-04-01 Edith Cohen , Ofir Geri , Tamas Sarlos , Uri Stemmer

We investigate the endofullerene system Ne@C$_{70}$, by constructing a three-dimensional Potential Energy Surface (PES) describing the translational motion of the Ne atom. We compare a plethora of electronic structure methods including:…

化学物理 · 物理学 2024-06-12 K. Panchagnula , D. Graf , E. R. Johnson , A. J. W. Thom

In the context of signal detection in the presence of an unknown time-varying channel parameter, receivers based on the Expectation Propagation (EP) framework appear to be very promising. EP is a message-passing algorithm based on factor…

信号处理 · 电气工程与系统科学 2024-04-09 Elisa Conti , Armando Vannucci , Amina Piemontese , Giulio Colavolpe

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is…

信息论 · 计算机科学 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Quantum computers provide a super-exponential speedup for performing a Fourier transform over the symmetric group, an ability for which practical use cases have remained elusive so far. In this work, we leverage this ability to unlock…

量子物理 · 物理学 2026-03-25 Vasilis Belis , Giulio Crognaletti , Matteo Argenton , Michele Grossi , Maria Schuld

A generalized Nonlinear Fourier Transform (GNFT), which includes eigenvalues of higher multiplicity, is considered for information transmission over fiber optic channels. Numerical algorithms are developed to compute the direct and inverse…

信息论 · 计算机科学 2018-10-16 Javier Garcia

Extensions of the split-step Fourier method (SSFM) for Schr\"odinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The…

数值分析 · 数学 2015-04-07 Ralf Deiterding , Stephen W. Poole

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information…

信息论 · 计算机科学 2017-01-30 Joseph J. Boutros , Fanny Jardel , Cyril Méasson

We present the Evolving Graph Fourier Transform (EFT), the first invertible spectral transform that captures evolving representations on temporal graphs. We motivate our work by the inadequacy of existing methods for capturing the evolving…

机器学习 · 计算机科学 2024-04-19 Anson Bastos , Kuldeep Singh , Abhishek Nadgeri , Manish Singh , Toyotaro Suzumura

Microwave backhaul links are characterized by high signal-to-noise ratios permitting spectrally-efficient transmission. The used signal constellation sizes and achievable data rates are typically limited by transceiver impairments,…

信号处理 · 电气工程与系统科学 2020-12-25 Elena-Iulia Dobre , Ayman Mostafa , Lutz Lampe , Hoda ShahMohammadian , Ming Jian

The discrete variables (DV) time-frequency (TF) quantum key distribution (QKD) protocol is a BB84 like protocol, which utilizes time and frequency as complementary bases. As orthogonal modulations, pulse position modulation (PPM) and…

We transmit probabilistic enumerative sphere shaped dual-polarization 64-QAM at 350Gbit/s/channel over 1610km SSMF using a short blocklength of 200. A reach increase of 15% over constant composition distribution matching with identical…

We implemented a flexible transmission system operating at adjustable data rate and fixed bandwidth, baudrate, constellation and overhead using probabilistic shaping. We demonstrated in a transmission experiment up to 15% capacity and 43%…

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM…

信息论 · 计算机科学 2017-02-27 Georg Böcherer , Patrick Schulte , Fabian Steiner