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The wavelet transform and related techniques are used to analyze singular and fractal signals. The normalized wavelet scalogram is introduced to detect singularities including jumps, cusps and other sharply changing points. The wavelet…

Signal Processing · Electrical Eng. & Systems 2021-11-04 Hua-Liang Wei , S. A. Billings

Compressed sensing (CS) using overcomplete wavelet dictionaries has been a well-investigated topic in the recent times for image and vision applications. In this paper, different overcomplete wavelet transforms have been studied to estimate…

Image and Video Processing · Electrical Eng. & Systems 2019-09-12 Bhabesh Deka

The scattering transform is a wavelet-based model of Convolutional Neural Networks originally introduced by S. Mallat. Mallat's analysis shows that this network has desirable stability and invariance guarantees and therefore helps explain…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Michael Perlmutter , Jieqian He , Mark Iwen , Matthew Hirn

A novel transmission protocol is conceived for a multi-user, multi-relay, multiple-input--multiple-output orthogonal frequency-division multiple-access (MIMO-OFDMA) cellular network based on joint transmit and receive beamforming. More…

Information Theory · Computer Science 2016-09-20 Kent Tsz Kan Cheung , Shaoshi Yang , Lajos Hanzo

In this paper we outline several points of view on the interplay between discrete and continuous wavelet transforms; stressing both pure and applied aspects of both. We outline some new links between the two transform technologies based on…

Computational Engineering, Finance, and Science · Computer Science 2011-11-09 Palle E. T. Jorgensen , Myung-Sin Song

We consider downlink precoding in a frequency-selective multi-user massive MIMO system with highly efficient but non-linear power amplifiers at the base station (BS). A low-complexity precoding algorithm is proposed, which generates…

Information Theory · Computer Science 2016-11-17 Sudarshan Mukherjee , Saif Khan Mohammed

In connection to wavelet theory, we describe the peripheral spectrum of the transfer operator. The solution involves the analysis of certain representations of the algebra generated by two unitaries $U$ and $T$ that satisfy the commutation…

Operator Algebras · Mathematics 2007-10-25 Dorin Ervin Dutkay

This paper extends current knowledge on electromagnetic wave scattering from bounded moving media in several regards. First, it complements the usual dispersion relation of moving media, $\omega(\theta_\mathbf{k})$ ($\theta_\mathbf{k}$:…

Optics · Physics 2021-05-04 Zoé-Lise Deck-Léger , Xuezhi Zheng , Christophe Caloz

We develop a general downlink model for multi-antenna heterogeneous cellular networks (HetNets), where base stations (BSs) across tiers may differ in terms of transmit power, target signal-to-interference-ratio (SIR), deployment density,…

Information Theory · Computer Science 2016-11-15 Harpreet S. Dhillon , Marios Kountouris , Jeffrey G. Andrews

A simple method is proposed for use in a scenario involving a single-antenna source node communicating with a destination node that is equipped with two antennas via multiple single-antenna relay nodes, where each relay is subject to an…

Information Theory · Computer Science 2024-10-30 Elad Domanovitz , Uri Erez

The prospects of utilizing single-carrier (SC) and multi-carrier (MC) waveforms in future terahertz (THz)-band communication systems remain unresolved. On the one hand, the limited multi-path components at high frequencies result in…

Information Theory · Computer Science 2023-10-27 Simon Tarboush , Hadi Sarieddeen , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

The special affine Fourier transform (SAFT) is a promising tool for analyzing non-stationary signals with more degrees of freedom. However, the SAFT fails in obtaining the local features of non-transient signals due to its global kernel and…

Functional Analysis · Mathematics 2020-06-11 Firdous A. Shah , Azhar Y. Tantary , Aajaz A. Teali

This brief review is based on a lecture given by one of the authors at the international youth conference AYSS-2023. It is devoted to multimessenger astronomy, which studies astrophysical objects and phenomena using various particles and…

High Energy Astrophysical Phenomena · Physics 2024-09-19 V. Rozhkov , S. Troitsky

We explore theoretically the single-photon transport in a single-mode waveguide that is coupled to a hybrid atom-optomechanical system in a strong optomechanical coupling regime. Using a full quantum real-space approach, transmission and…

Quantum Physics · Physics 2013-12-16 W. Z. Jia , Z. D. Wang

Fundamental concepts in the quasi-one-dimensional geometry of disordered wires and random waveguides in which ideas of scaling and the transmission matrix were first introduced are reviewed. We discuss the use of the transmission matrix to…

Disordered Systems and Neural Networks · Physics 2023-07-19 Zhou Shi , Matthieu Davy , Azriel Z. Genack

In this paper, we study the Simultaneous Wireless Information and Power Transfer (SWIPT) in a Single-Input Single-Output (SISO) two-user Orthogonal Frequency Division Multiplexing (OFDM) Interference Channel (IFC). We assume that the…

Information Theory · Computer Science 2015-07-02 Zati Bayani Zawawi , Jaehyun Park , Bruno Clerckx

This paper presents the specific application of wireless communication,automotive Wireless Communication also called as Vehicle to Vehicle Communication.It explains the technology used for automotive Wireless Communication along with the…

Networking and Internet Architecture · Computer Science 2014-03-18 Mrs. Vaishali D. Khairnar , Dr. S. N. Pradhan

An integral representation of solutions of the wave equation as a superposition of other solutions of this equation is built. The solutions from a wide class can be used as building blocks for the representation. Considerations are based on…

Mathematical Physics · Physics 2015-05-13 M. V. Perel , M. S. Sidorenko

Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But finding a corresponding mode description for…

Optics · Physics 2019-09-26 David A. B. Miller

This article explains how to construct a sheaf model for passing traffic through a wireless network with a single channel carrier sense multiple access/collision detection (CSMA/CD) media access model.

Networking and Internet Architecture · Computer Science 2016-07-26 Michael Robinson