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In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2015-06-19 Götz E. Pfander , Pavel Zheltov

The information that can be transmitted through a wireless channel, with multiple-antenna equipped transmitter and receiver, is crucially influenced by the channel behavior as well as by the structure of the input signal. We characterize in…

Information Theory · Computer Science 2014-10-22 Giuseppa Alfano , Carla-Fabiana Chiasserini , Alessandro Nordio , Siyuan Zhou

Diffusing-wave spectroscopy is a powerful technique which consists in measuring the temporal correlation function of the intensity of light multiply scattered by a medium. In this paper, we apply this technique to cold atoms under purely…

Hybrid free space optical (FSO)/radio frequency (RF) systems have been proved to be reliable links for high-data-rate wireless backhauls. In this paper, we present a unified performance analysis of the hybrid FSO/RF transmission system…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Long Huang , Siming Liu , Pan Dai , Mi Li , Gee-Kung Chang , Yuechun Shi , Xiangfei Chen

Affine frequency division multiplexing (AFDM) is a promising chirp-based waveform with high flexibility and resilience, making it well-suited for next-generation wireless networks, particularly in high-mobility scenarios. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2025-07-14 Haoran Yin , Yanqun Tang , Yuanhan Ni , Zulin Wang , Gaojie Chen , Jun Xiong , Kai Yang , Marios Kountouris , Yong Liang Guan , Yong Zeng

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

This paper introduces Fourier duality for a class of affine iterated function systems (IFS) T_i. These systems are determined by a finite family of contractive affine maps in R^d. Our Fourier duality applies to the resulting probability…

Functional Analysis · Mathematics 2007-05-23 Palle E. T. Jorgensen , Steen Pedersen

Predicting flutter remains a key challenge in aeroelastic research, with certain models relying on modal parameters, such as natural frequencies and damping ratios. These models are particularly useful in early design stages or for the…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Gabriele Dessena , Alessandro Pontillo , Marco Civera , Dmitry I. Ignatyev , James F. Whidborne , Luca Zanotti Fragonara

High-quality radio frequency (RF) components are imperative for efficient wireless communication. However, these components can degrade over time and need to be identified so that either they can be replaced or their effects can be…

Signal Processing · Electrical Eng. & Systems 2022-07-06 Mehmet Ali Aygul , Ebubekir Memisoglu , Hakan Ali Cirpan , Huseyin Arslan

In this paper we consider the influence of collisional fluctuations on the Mollow spectra of resonance fluorescence (RF). The fluctuations are taken into account by a simple shift of the constant detuning, involved in a set of optical Bloch…

Quantum Physics · Physics 2013-12-03 K. Doan Quoc , T. Bui Dinh , V. Cao Long , W. Leonski

Performance analysis of low Earth orbit (LEO) satellite-to-ground optical links relies on composite fading models that typically evaluate scintillation and angular loss under the assumption of statistical independence. While ensuring…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xinyan Xie , Xuesong Wang , Jinghua Zhang , Fengrui Yang , Yongheng Wen , Haoyang He , Dong Zhao

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

This paper investigates the ambiguity function (AF) of the emerging affine frequency division multiplexing (AFDM) waveform for Integrated Sensing and Communication (ISAC) signaling under a pulse shaping regime. Specifically, we first derive…

Signal Processing · Electrical Eng. & Systems 2025-11-07 Yuanhan Ni , Fan Liu , Haoran Yin , Yanqun Tang , Zulin Wang

In this paper we develop a new statistical model for the irradiance fluctuations of an unbounded optical wavefront (plane and spherical waves) propagating through a turbulent medium under all irradiance fluctuation conditions in…

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger-Lidar

In this work, we provide a detailed analysis of a dual-hop fixed gain (FG) amplify-and-forward relaying system, consisting of a hybrid radio frequency (RF) and free-space optical (FSO) channels. We introduce an impairment model which is the…

Signal Processing · Electrical Eng. & Systems 2019-02-12 Elyes Balti , Mohsen Guizani , Bechir Hamdaoui , Bassem Khalfi

Accurate estimates of Instrument Spectral Response Functions (ISRFs) are crucial in order to have a good characterization of high resolution spectrometers. Spectrometers are composed of different optical elements that can induce errors in…

Numerical Analysis · Mathematics 2024-04-09 Jihanne El Haouari , Jean-Michel Gaucel , Christelle Pittet , Jean-Yves Tourneret , Herwig Wendt

The integrated sensing and communication (ISAC) has been envisioned as one representative usage scenario of sixth-generation (6G) network. However, the unprecedented characteristics of 6G, especially the doubly dispersive channel, make…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Fan Zhang , Zhaocheng Wang , Tianqi Mao , Tianyu Jiao , Yinxiao Zhuo , Miaowen Wen , Wei Xiang , Sheng Chen , George K. Karagiannidis

We extend classical basis constructions from Fourier analysis to attractors for affine iterated function systems (IFSs). This is of interest since these attractors have fractal features, e.g., measures with fractal scaling dimension.…

Classical Analysis and ODEs · Mathematics 2008-02-13 Dorin Ervin Dutkay , Palle E. T. Jorgensen

Dual function radar communications (DFRC) systems are attractive technologies for autonomous vehicles, which utilize electromagnetic waves to constantly sense the environment while simultaneously communicating with neighbouring devices. An…

Signal Processing · Electrical Eng. & Systems 2021-12-15 Dingyou Ma , Nir Shlezinger , Tianyao Huang , Yimin Liu , Yonina C. Eldar