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The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple tube-shaped two dimensional resonator, we can perform a careful analysis of the transition zone where oscillations start…

Spectral Theory · Mathematics 2011-06-07 Andre Martinez , Laurence Nedelec

We demonstrate that asymmetric 3-port devices can be used to design a multi-functional set-up operating as a symmetric combiner and splitter at the same frequency. For a concrete implementation of the proposed multi-functionality protocol,…

Classical Physics · Physics 2020-06-24 Olivier Richoux , Vassos Achilleos , Georgios Theocharis , Ioannis Brouzos , Fotios Diakonos

Qubit noise spectroscopy is an important tool for the experimental investigation of open quantum systems. However, conventional techniques for noise spectroscopy are time-consuming, because they require measurements of the noise spectral…

Quantum Physics · Physics 2025-06-24 Kaixin Huang , Demitry Farfurnik , Alireza Seif , Mohammad Hafezi , Yi-Kai Liu

This paper presents the results of a comprehensive study on the optimization of the optical system for independent amplitude and phase wavefront manipulation, which is based on a digital micromirror device implementation. The parameters of…

Optics · Physics 2020-10-05 Alexandra Georgieva , Andrey Belashov , Nikolay V. Petrov

We obtain the functional defining the price and quality of sample readings of the generalized velocities. It is shown that the optimal sampling frequency, in the sense of minimizing the functional quality and price depends on the sampling…

Optimization and Control · Mathematics 2012-01-18 V. N. Tibabishev

The sparse signal processing literature often uses random sensing matrices to obtain performance guarantees. Unfortunately, in the real world, sensing matrices do not always come from random processes. It is therefore desirable to evaluate…

Functional Analysis · Mathematics 2018-03-06 Dustin G. Mixon , Waheed U. Bajwa , Robert Calderbank

For high-dimensional inference problems, statisticians have a number of competing interests. On the one hand, procedures should provide accurate estimation, reliable structure learning, and valid uncertainty quantification. On the other…

Statistics Theory · Mathematics 2021-01-11 Ryan Martin

Recently, frequency security is challenged by high uncertainty and low inertia in power system with high penetration of Renewable Energy Sources (RES). In the context of Unit Commitment (UC) problems, frequency security constraints…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Zhuoxuan Li , Zhongda Chu , Fei Teng

The inference of the absorption configuration of an existing room solely using acoustic signals can be challenging. This research presents two methods for estimating the room dimensions and frequency-dependent absorption coefficients using…

Sound · Computer Science 2023-04-26 Yuanxin Xia , Cheol-Ho Jeong

The upper mid-band (or FR3, spanning 6-24 GHz) is a crucial frequency range for next-generation mobile networks, offering a favorable balance between coverage and spectrum efficiency. From another perspective, the systems operating in the…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Ali Rasteh , Raghavendra Palayam Hari , Hao Guo , Marco Mezzavilla , Sundeep Rangan

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and…

Functional Analysis · Mathematics 2014-07-08 Bogdan Roman , Anders Hansen , Ben Adcock

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

Coplanar waveguide resonators are central to the thriving field of circuit quantum electrodynamics. Recently, we have demonstrated the generation of a broadband microwave-frequency comb spectrum using a superconducting quantum interference…

Exquisite sensitivities are a prominent advantage of quantum sensors. Ramsey sequences allow precise measurement of direct current fields, while Hahn-echo-like sequences measure alternating current fields. However, the latter are restrained…

Quantum Physics · Physics 2022-09-29 E. D. Herbschleb , I. Ohki , K. Morita , Y. Yoshii , H. Kato , T. Makino , S. Yamasaki , N. Mizuochi

A new principle of subwavelength imaging based on frequency scanning is considered. It is shown that it is possible to reconstruct the spatial profile of an external field exciting an array (or coupled arrays) of subwavelength-sized…

Optics · Physics 2008-06-27 Stanislav Maslovski , Pekka Alitalo , Sergei Tretyakov

This paper presents key performance metrics for near-field communication and sensing systems and their scaling behavior as a function of the antenna array aperture. Analytical expressions are derived for several standard array geometries to…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Marcin Wachowiak , André Bourdoux , Sofie Pollin

Optical frequency combs combine ultrashort pulse duration and phase stability, making them powerful resources for high-precision ranging even when affected by atmospheric dispersion. It has been established that by classical modal…

Quantum Physics · Physics 2026-04-08 Mylenne Manrique , Ilaria Gianani , Marco Barbieri , Valentina Parigi , Nicolas Treps

Metasurface based super absorbers exhibit near unity absorbance. While the absorption peak can be tuned by the geometry/size of the sub-wavelength resonator, broadband absorption can be obtained by placing multiple resonators of various…

Materials Science · Physics 2019-04-03 Arvind Nagarajan , Kumar Vivek , Manav Shah , Venu Gopal Achanta , Giampiero Gerini

The effectiveness of dimensionality reduction with quadratic manifolds hinges on the choice of a reduced basis and the associated quadratic correction terms. Existing approaches typically rely on subspaces spanned by the leading principal…

Numerical Analysis · Mathematics 2026-05-27 Gavin Paxton , Seunghee Cheon , Rudy Geelen , Shane A. McQuarrie

This paper discusses the mathematical aspects of band fitting and introduces the mathematics of the Asymmetric Gaussian shape and its tangent space for the first time. First, we derive an equation for an Asymmetric Gaussian shape. We then…

Materials Science · Physics 2022-01-14 Adrian J. Brown