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The eigenstructure of the discrete Fourier transform (DFT) is examined and new systematic procedures to generate eigenvectors of the unitary DFT are proposed. DFT eigenvectors are suggested as user signatures for data communication over the…

Information Theory · Computer Science 2017-02-08 R. M. Campello de Souza , H. M. de Oliveira , R. J. Cintra

This paper addresses the problem of multi-channel multi-speech separation based on deep learning techniques. In the short time Fourier transform domain, we propose an end-to-end narrow-band network that directly takes as input the…

Sound · Computer Science 2022-04-13 Changsheng Quan , Xiaofei Li

Dual function radar communication (DFRC) systems can achieve significant improvements in spectrum efficiency, system complexity and energy efficiency, and are attracting a lot of attention for next generation wireless system design. This…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Zhaoyi Xu , Athina P. Petropulu

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…

Information Theory · Computer Science 2018-10-16 Javier Garcia

In this paper we show that the eigenfunctions can be found exactly for systems whose delay-Doppler spread function is concentrated along a straight line and they can be found in approximate sense for systems having a spread function…

Information Theory · Computer Science 2015-10-15 Sergio Barbarossa , Mikhail Tsitsvero

In this paper, we consider a discontinuous Dirac operator depending polynomially on the spectral parameter and a finite number of transmission conditions. We get some properties of eigenvalues and eigenfunctions. Then, we investigate some…

Classical Analysis and ODEs · Mathematics 2016-01-21 Yalçın Güldü , Merve Arslantaş

By use of window functions, time-frequency analysis tools like Short Time Fourier Transform overcome a shortcoming of the Fourier Transform and enable us to study the time- frequency characteristics of signals which exhibit transient os-…

Information Theory · Computer Science 2013-07-25 Sangnam Nam

Shape-invariant signals under Fourier transform are investigated leading to a class of eigenfunctions for the Fourier operator. The classical uncertainty Gabor-Heisenberg principle is revisited and the concept of isoresolution in joint…

Classical Analysis and ODEs · Mathematics 2015-02-18 L. R. Soares , H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Several classes of tempered measures are characterised that are eigenmeasures of the Fourier transform, the latter viewed as a linear operator on (generally unbounded) Radon measures on $\RR^d$. In particular, we classify all periodic…

Spectral Theory · Mathematics 2024-04-22 Michael Baake , Timo Spindeler , Nicolae Strungaru

The Fractional Fourier Transform is a ubiquitous signal processing tool in basic and applied sciences. The Fractional Fourier Transform generalizes every property and application of the Fourier Transform. Despite the practical importance of…

Signal Processing · Electrical Eng. & Systems 2020-10-21 Amir R. Nafchi , Eric Hamke , Cristina Pereyra , Ramiro Jordan

Human Activity Recognition (HAR) has recently witnessed advancements with Transformer-based models. Especially, ActionFormer shows us a new perspectives for HAR in the sense that this approach gives us additional outputs which detect the…

Machine Learning · Computer Science 2025-05-28 Kunpeng Zhao , Asahi Miyazaki , Tsuyoshi Okita

Self-supervised learning has become a central strategy for representation learning, but the majority of architectures used for encoding data have only been validated on regularly-sampled inputs such as images, audios. and videos. In many…

Machine Learning · Statistics 2025-10-24 Yunyi Shen , Alexander Gagliano

Generic AI auto-complete for message composition often fails to capture the nuance of personal identity, requiring editing. While harmless in low-stakes settings, for users of Augmentative and Alternative Communication (AAC) devices, who…

Human-Computer Interaction · Computer Science 2026-02-23 Tobias M. Weinberg , Ricardo E. Gonzalez Penuela , Stephanie Valencia , Thijs Roumen

Many signals on Cartesian product graphs appear in the real world, such as digital images, sensor observation time series, and movie ratings on Netflix. These signals are "multi-dimensional" and have directional characteristics along each…

Methodology · Statistics 2017-12-22 Takashi Kurokawa , Taihei Oki , Hiromichi Nagao

In this paper, we introduce an autoencoder (AE)-based scheme for end-to-end optimization of a multi-user molecule mixture communication system. In the proposed scheme, each transmitter leverages an encoder network that maps the user symbol…

We consider a multi-user multiple-input multiple-output (MIMO) setup where full-duplex (FD) multi-antenna nodes apply linear beamformers to simultaneously transmit and receive multiple streams over Rician fading channels. The exact first…

Information Theory · Computer Science 2017-02-21 Arman Shojaeifard , Kai-Kit Wong , Marco Di Renzo , Gan Zheng , Khairi Ashour Hamdi , Jie Tang

This paper examines linear beamforming methods for secure communications in a multiuser wiretap channel with a single transmitter, multiple legitimate receivers, and a single eavesdropper, where all nodes are equipped with multiple…

Information Theory · Computer Science 2009-10-15 Amitav Mukherjee , A. Lee Swindlehurst

In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order $\ge 2$ with constant real coefficients. Under suitable growth…

Mathematical Physics · Physics 2015-03-17 Michael Hitrik , Katsiaryna Krupchyk , Petri Ola , Lassi Päivärinta

This paper is concerned with {an extension and reinterpretation} of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. {We state} two general abstract results on…

Analysis of PDEs · Mathematics 2023-11-06 Jean Dolbeault , Maria J. Esteban , Eric séré

This paper looks into the $K$-user interference channel. Interference Alignment is much likely to be applied with double-layered symbol extensions, either for constant channels in the H$\o$st-Madsen-Nosratinia conjecture or slowly changing…

Information Theory · Computer Science 2012-11-20 Haichuan Zhou , Tharm Ratnarajah
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