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Digital Transforms have important applications on subjects such as channel coding, cryptography and digital signal processing. In this paper, two Fourier Transforms are considered, the discrete time Fourier transform (DTFT) and the finite…

Deep learning models with attention mechanisms have achieved exceptional results for many tasks, including language tasks and recommendation systems. Whereas previous studies have emphasized allocation of phone agents, we focused on inbound…

Machine Learning · Computer Science 2020-05-28 Ta-Chun Su , Guan-Ying Chen

A many to one discrete auditory transform is presented to map a sound signal to a perceptually meaningful spectrum on the scale of human auditory filter band widths (critical bands). A generalized inverse is constructed in closed analytical…

Numerical Analysis · Mathematics 2007-05-23 Jack Xin , Yingyong Qi

A multiple-access channel is considered in which messages from one encoder are confidential. Confidential messages are to be transmitted with perfect secrecy, as measured by equivocation at the other encoder. The upper bounds and the…

Information Theory · Computer Science 2007-07-13 Ruoheng Liu , Ivana Maric , Roy D. Yates , Predrag Spasojevic

In this work, performance of a multi-antenna multiuser unmanned aerial vehicle (UAV) assisted terrestrial-satellite communication system over mixed free space optics (FSO)/ radio frequency (RF) channels is analyzed. Downlink transmission…

Signal Processing · Electrical Eng. & Systems 2021-09-14 Praveen Kumar Singya , Mohamed-Slim Alouini

The structure of egocentric networks reflects the way people balance their need for strong, emotionally intense relationships and a diversity of weaker ties. Egocentric network structure can be quantified with 'social signatures', which…

Physics and Society · Physics 2018-06-08 S. Heydari , S. G. B. Roberts , R. I. M. Dunbar , J. Saramäki

The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of…

Classical Analysis and ODEs · Mathematics 2012-01-26 Terence Tao , Christoph Thiele

The eigenvalues of the transmission matrix provide the basis for a full description of the statistics of steady-state transmission and conductance. At the same time, the ability to excite the sample with the waveform of specific…

Disordered Systems and Neural Networks · Physics 2015-11-25 Zhou Shi , Azriel Z. Genack

The beamforming techniques have been recently studied as possible enablers for underlay spectrum sharing. The existing beamforming techniques have several common limitations: they are usually system model specific, cannot operate with…

Information Theory · Computer Science 2015-04-27 Daniel Denkovski , Valentin Rakovic , Vladimir Atanasovski , Liljana Gavrilovska , Petri Mähönen

Action-dependent channels model scenarios in which transmission takes place in two successive phases. In the first phase, the encoder selects an "action" sequence, with the twofold aim of conveying information to the receiver and of…

Information Theory · Computer Science 2012-07-24 Behzad Ahmadi , Osvaldo Simeone

Modern wireless channels are increasingly dense and mobile making the channel highly non-stationary. The time-varying distribution and the existence of joint interference across multiple degrees of freedom (e.g., users, antennas, frequency…

Information Theory · Computer Science 2022-11-14 Zhibin Zou , Maqsood Careem , Aveek Dutta , Ngwe Thawdar

Radiofrequency finger augmentation devices (R-FADs) are a recently introduced class of epidermal radiofrequency identification (RFID) sensor-tags attached to the fingers, communicating with a body-worn reader. These devices are promising…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Federica Naccarata , Giulio Maria Bianco , Gaetano Marrocco

The Dirac operator provides a unified framework for processing signals defined over different order topological domains, such as node and edge signals. Its eigenmodes define a spectral representation that inherently captures cross-domain…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Leonardo Di Nino , Tiziana Cattai , Sergio Barbarossa , Ginestra Bianconi , Paolo Di Lorenzo

Transmission eigenchannels and associated eigenvalues, that give a full account of wave propagation in random media, have recently emerged as a major theme in theoretical and applied optics. Here we demonstrate, both analytically and…

Optics · Physics 2015-09-30 Liyi Zhao , Chushun Tian , Yury P. Bliokh , Valentin Freilikher

Waveforms with ideal ambiguity functions are fundamental to integrated sensing and communication, to active sensing (radar), and to uplink multiple access. We describe a general method of constructing waveforms using the discrete Zak…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

In sequential recommendation (SR), the self-attention mechanism of Transformer-based models acts as a low-pass filter, limiting their ability to capture high-frequency signals that reflect short-term user interests. To overcome this, BSARec…

Information Retrieval · Computer Science 2025-12-22 Jan Hutter , Hua Chang Bakker , Stan Fris , Madelon Bernardy , Yuanna Liu

This paper proposes a novel technique to obtain better downstream ASR performance from a joint encoder-decoder self-supervised model when trained with speech pooled from two different channels (narrow and wide band). The joint…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-06 Vrunda N. Sukhadia , A. Arunkumar , S. Umesh

We revisit the use of spectral techniques to replaces the attention mechanism in Transformers through Fourier Transform based token mixing, and present a comprehensive and novel reformulation of this technique in next generation transformer…

Computation and Language · Computer Science 2025-04-24 Andrew Kiruluta , Andreas Lemos , Eric Lundy

This work investigates the long-time asymptotic behavior of a diffusing passive scalar advected by fluid flow in a straight channel with a periodically varying cross-section. The goal is to derive an asymptotic expansion for the scalar…

Fluid Dynamics · Physics 2026-04-09 Lingyun Ding

In this paper we construct directionally sensitive functions that can be viewed as directional time-frequency representations. We call such a sequence a rotational uniform covering frame and by studying rotations of the frame, we derive the…

Functional Analysis · Mathematics 2017-10-20 Wojciech Czaja , Weilin Li