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With the aim of measuring the sparsity of a real signal, Donoho and Logan introduced the concept of maximum Nyquist density, and used it to extend Bombieri's principle of the large sieve to bandlimited functions. This led to several…

Functional Analysis · Mathematics 2017-02-28 Luis Daniel Abreu , Michael Speckbacher

Using reinforcement learning, we optimize for practical hardware constraints, including limited FIR filter taps at the transmitter and receiver, mean photon number and finite DAC/ADC resolution. Under these realistic conditions, the…

Information Theory · Computer Science 2026-05-05 Svitlana Matsenko , Amirhossein Ghazisaeidi , Marcin Jarzyna , Konrad Banaszek , Darko Zibar

High peak-to-average power ratio (PAPR) is one of the main factors limiting cell coverage for cellular systems, especially in the uplink direction. Discrete Fourier transform spread orthogonal frequency-domain multiplexing (DFT-s-OFDM) with…

Information Theory · Computer Science 2024-10-15 Fabrizio Carpi , Soheil Rostami , Joonyoung Cho , Siddharth Garg , Elza Erkip , Charlie Jianzhong Zhang

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Chongbin Zhao , Qirong Jiang

A fluid reconfigurable intelligent surface (fRIS)-aided integrated sensing and communication (ISAC) system is proposed to enhance multi-target sensing and multi-user communication. Unlike the conventional RIS, the fRIS employs movable…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Junjie Ye , Peichang Zhang , Xiao-Peng Li , Lei Huang , Yuanwei Liu

This work considers the problem of energy efficiency maximization in a RIS-based communication link, subject to not only the conventional maximum power constraints, but also additional constraints on the maximum exposure to electromagnetic…

Optimization and Control · Mathematics 2022-07-20 Alessio Zappone , Marco Di Renzo

The Nyquist-Shannon theorem states that the information accessible by discrete Fourier protocols saturates when the sampling rate reaches twice the bandwidth of the detected continuous time signal. This maximum rate (the NS-limit) plays a…

Medical Physics · Physics 2020-12-14 F. Galve , J. Alonso , J. M. Algarín , J. M. Benlloch

In this paper, we investigate a constrained formulation of neural networks where the output is a convex function of the input. We show that the convexity constraints can be enforced on both fully connected and convolutional layers, making…

Machine Learning · Computer Science 2021-07-13 Sarath Sivaprasad , Ankur Singh , Naresh Manwani , Vineet Gandhi

Time-domain chromatic dispersion (CD) equalization using finite impulse response (FIR) filter is now a common approach for coherent optical fiber communication systems. The complex weights of FIR filter taps are calculated from a truncated…

Information Theory · Computer Science 2017-05-02 Ziyi Zeng , Aiying Yang , Peng Guo , Lihui Feng

Compressed Sensing (CS) is an emerging field that enables reconstruction of a sparse signal $x \in {\mathbb R} ^n$ that has only $k \ll n$ non-zero coefficients from a small number $m \ll n$ of linear projections. The projections are…

Information Theory · Computer Science 2011-03-29 Shriram Sarvotham , Richard G. Baraniuk

A common assumption in signal processing is that underlying data numerically conforms to a Gaussian distribution. It is commonly utilized in signal processing to describe unknown additive noise in a system and is often justified by citing…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Jennie Couchman , Phillip Stanley-Marbell

Savitzky-Golay (SG) filters are finite impulse response (FIR) realizations of least-squares polynomial regression and they are widely used for filtering (e.g. smoothing, interpolating, predicting, differentiating) and processing (e.g.…

Systems and Control · Electrical Eng. & Systems 2022-08-16 Hugh L Kennedy

The Fiber Optical Cable and Connector System, FOCCoS, for the Prime Focus Spectrograph, PFS, is responsible for transporting light from the Subaru Telescope focal plane to a set of four spectrographs. Each spectrograph will be fed by a…

We consider the minimization of a continuous function over the intersection of a regular cone with an affine set via a new class of adaptive first- and second-order optimization methods, building on the Hessian-barrier techniques introduced…

Optimization and Control · Mathematics 2022-10-18 Pavel Dvurechensky , Mathias Staudigl

The study of combinations of drugs/drug-schedules gained increasing attention in various therapeutic areas recently. In oncology, the aim of phase I combination clinical trial is to find the maximum tolerated combination (MTC). Many…

Methodology · Statistics 2025-05-09 Weishi Chen , Pavel Mozgunov

The goal of experiment design is to select the inputs of a dynamical system in such a way that the resulting data contain sufficient information for system identification and data-driven control. This paper investigates the problem of…

Optimization and Control · Mathematics 2026-04-10 Jiwei Wang , Simone Baldi , Henk J. van Waarde

Co-prime arrays with compressed inter-element spacing (CACIS) is one of the generalizations of the co-prime array. The inter-element spacing can be varied in this case. The prototype co-prime arrays and nested arrays are a special case of…

Signal Processing · Electrical Eng. & Systems 2020-07-24 Usham V. Dias

The optimal controller design problem for systems equipped with sensors that measure only relative, rather than absolute, quantities is considered. This relative measurement structure is formulated as a design constraint; it is demonstrated…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Walden Marshall , Bassam Bamieh , Emily Jensen

One of the desirable objectives in feedback control design is to formulate and solve the design problem as an optimisation problem that is convex, so that an optimal solution can be found efficiently. Unfortunately many control design…

Optimization and Control · Mathematics 2025-11-25 Matthew Newton , Zuxun Xiong , Han Wang , Antonis Papachristodoulou

The design and optimization of Reconfigurable Intelligent Surfaces (RISs) are key challenges for future wireless communication systems. RISs are devices that can manipulate electromagnetic (EM) waves in a programmable way, thus enhancing…