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In some applications of frequency estimation, it is challenging to sample at as high as the Nyquist rate due to hardware limitations. An effective solution is to use multiple sub-Nyquist channels with coprime undersampling ratios to jointly…

Information Theory · Computer Science 2017-05-26 Shan Huang , Haijian Zhang , Hong Sun , Lei Yu

We investigate the asymptotic distribution of the maximum of a frequency smoothed estimate of the spectral coherence of a M-variate complex Gaussian time series with mutually independent components when the dimension M and the number of…

Statistics Theory · Mathematics 2021-07-08 Alexis Rosuel , Philippe Loubaton , Pascal Vallet

Quantum parameter estimation is central to many fields such as quantum computation, communications and metrology. Optimal estimation theory has been instrumental in achieving the best accuracy in quantum parameter estimation, which is…

Quantum Physics · Physics 2015-06-18 Shibdas Roy , Ian R. Petersen , Elanor H. Huntington

High-stability quartz oscillators are needed in a number of space applications. A short-term stability of parts in 10^{-14} [Allan deviation \sigma y(\tau) ] is sometimes required, for integration time \tau of approximately 1-10 s. The…

Instrumentation and Detectors · Physics 2007-06-14 Fabrice Sthal , Xavier Vacheret , Patrice Salzenstein , Serge Galliou , Gilles Cibiel , Enrico Rubiola

Resonant frequency modulation spectroscopy has been previously used as a highly-sensitive method for measuring the output of cold atom interferometers. Using a detailed model that accounts for optical saturation, laser intensities and…

Atomic Physics · Physics 2024-12-11 Ryan J. Thomas , Samuel R. Legge , Simon A. Haine , John D. Close

Robust control and stabilization of optical frequency combs enables an extraordinary range of scientific and technological applications, including frequency metrology at extreme levels of precision, novel spectroscopy of quantum gases and…

Optics · Physics 2013-08-09 Scott B. Papp , Pascal Del'Haye , Scott A. Diddams

Frequency-encoded quantum information offers intriguing opportunities for quantum communications and networking, with the quantum frequency processor paradigm -- based on electro-optic phase modulators and Fourier-transform pulse shapers --…

Due to ultra high quality factor ($10^6-10^9$), axisymmetric optical microcavities are popular platforms for biosensing applications. It has been recently demonstrated that a microcavity biosensor can track a biodetection event as a…

Optics · Physics 2015-03-17 M. Imran Cheema , Andrew G. Kirk

Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. An efficient approach known as "circuit reusing," where each circuit is executed multiple times, reduces the cost compared to…

Quantum Physics · Physics 2025-01-29 Zhuo Chen , Guoding Liu , Xiongfeng Ma

The dispersive resonant-state expansion, developed for an accurate calculation of the resonant states in open optical systems with frequency dispersion, is applied here to realistic materials, such as metallic nanoparticles and…

Optics · Physics 2020-01-29 Hame Sehmi , Wolfgang Langbein , Egor Muljarov

An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses…

Computational Engineering, Finance, and Science · Computer Science 2022-03-14 Kai Zhu , Jinhui Wang , Shunchuan Yang

Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Evan Widloski , Ulas Kamaci , Farzad Kamalabadi

In the framework of the optimal wave energy absorption, we solve theoretically and numerically a parametric shape optimization problem to find the optimal distribution of absorbing material in the reflexive one defined by a characteristic…

Analysis of PDEs · Mathematics 2024-09-11 Frederic Magoules , Mathieu Menoux , Anna Rozanova-Pierrat

We develop a multiscale scanning method to find anomalies in a $d$-dimensional random field in the presence of nuisance parameters. This covers the common situation that either the baseline-level or additional parameters such as the…

Applications · Statistics 2024-09-20 Claudia König , Axel Munk , Frank Werner

We explain the Fano peak (an asymmetric resonance peak) as an interference effect involving resonant states. We reveal that there are three types of Fano asymmetry according to their origins: the interference between a resonant state and an…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Keita Sasada , Naomichi Hatano , Gonzalo Ordonez

In this paper, we introduce a method to optimally estimate time-varying frequency bias. Current industry practice is to assume that frequency bias is changing only on annual basis. We suggest that this improved time-dependent bias estimate…

Systems and Control · Electrical Eng. & Systems 2023-02-08 Miroslav Kosanic , Marija Ilic , Daniel Baker , Harvey Scribner , Casey Cathey

Recently it has been established that asymptotic incoherence can be used to facilitate subsampling, in order to optimize reconstruction quality, in a variety of continuous compressed sensing problems, and the coherence structure of certain…

Information Theory · Computer Science 2016-10-25 Alex Jones , Ben Adcock , Anders Hansen

Fast and broadband spectrum sensing is an essential component in cognitive radio systems, intelligent transportation systems, electronic warfare systems, etc. However, traditional electronic-based solutions have a trade-off among the…

The effect of gravity and proper acceleration on the frequency spectrum of an optical resonator - both rigid or deformable - is considered in the framework of general relativity. The optical resonator is modeled either as a rod of matter…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Dennis Rätzel , Fabienne Schneiter , Daniel Braun , Tupac Bravo , Richard Howl , Maximilian P. E. Lock , Ivette Fuentes

Quantum parameter estimation, the ability to precisely obtain a classical value in a quantum system, is very important to many key quantum technologies. Many of these technologies rely on an optical probe, either coherent or squeezed states…

Quantum Physics · Physics 2015-05-14 Trevor A. Wheatley , Mankei Tsang , Ian R. Petersen , Elanor H. Huntington