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Machine Learning requires a large amount of training data in order to build accurate models. Sometimes the data arrives over time, requiring significant storage space and recalculating the model to account for the new data. On-line learning…

Machine Learning · Computer Science 2023-07-07 Mohammad Abu-Shaira , Greg Speegle

Testing for white noise is a classical yet important problem in statistics, especially for diagnostic checks in time series modeling and linear regression. For high-dimensional time series in the sense that the dimension $p$ is large in…

Statistics Theory · Mathematics 2018-11-26 Zeng Li , Clifford Lam , Jianfeng Yao , Qiwei Yao

Optical clocks with unprecedented accuracy of 10^(-18) will lead to innovations in many research areas. All the applications of optical clocks rely on the ability of precisely converting the frequency from one optical clock to another, or…

Optics · Physics 2016-10-20 Yuan Yao , Yanyi Jiang , Hongfu Yu , Zhiyi Bi , Longsheng Ma

Precise measurements of the frequency and phase of an electrical or optical signal play a key role in various branches of science and engineering. Tracking changing laser frequencies is especially demanding when the lasers themselves are…

Instrumentation and Detectors · Physics 2024-12-30 Shreevathsa Chalathadka Subrahmanya , Christian Darsow-Fromm , Oliver Gerberding

We demonstrate a combination of optical and electronic feedback that significantly narrows the linewidth of distributed Bragg reflector lasers (DBRs). We use optical feedback from a long external fiber path to reduce the high-frequency…

We consider the microwave-to-optical frequency conversion based on the Lamb shift, fine structure and forbidden transitions. The theory of such a conversion is developed and the efficiency of the microwave-to-optical frequency conversion is…

Quantum Physics · Physics 2018-06-20 Sergey A. Rashkovskiy

This study demonstrates a significant enhancement in ultra-low-frequency (ULF) electric field sensitivity using Rydberg atoms via an optical chopping amplification (OCA) technique. Conventional Rydberg-based ULF measurements are…

Quantum Physics · Physics 2026-03-18 Yipeng Xie , Mingwei Lei , Wenbo Dong , Meng Shi

We demonstrate an optical frequency analysis method using the Fourier transform of detection times of fluorescence photons emitted from a single trapped 40Ca+ ion. The response of the detected photon rate to the relative laser frequency…

Noise is a part of data whether the data is from measurement, experiment or ... A few techniques are suggested for noise reduction to improve the data quality in recent years some of which are based on wavelet, orthogonalization and neural…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 Negin Bagherpour , Abbas Mohammadiyan

Frequency metrology outperforms any other branch of metrology in accuracy (parts in $10^{-16}$) and small fluctuations ($<10^{-17}$). In turn, among celestial bodies, the rotation speed of millisecond pulsars (MSP) is by far the most stable…

Data Analysis, Statistics and Probability · Physics 2022-02-04 Siyuan Chen , Francois Vernotte , Enrico Rubiola

Several analog-to-digital conversion methods for bandlimited signals used in applications, such as Sigma Delta quantization schemes, employ coarse quantization coupled with oversampling. The standard mathematical model for the error accrued…

Information Theory · Computer Science 2010-04-21 Felix Krahmer , Rachel Ward

We consider the frequency estimation of periodic signals using noisy time-of-arrival (TOA) information with missing (sparse) data contaminated with outliers. We tackle the problem from a mathematical optimization standpoint, formulating it…

Optimization and Control · Mathematics 2024-09-04 Romain Puech , Vincent Gouldieff

Wave is crucial to acquiring information from the world and its interaction with matter is determined by the wavelength, or frequency. Search for the ability to shift frequency often points to material nonlinearity, which is significant…

Applied Physics · Physics 2020-09-24 Yumin Zhang , Keming Wu , Chunqi Wang , Lixi Huang

Interactions between atoms and lasers provide the potential for unprecedented control of quantum states. Fulfilling this potential requires detailed knowledge of frequency noise in optical oscillators with state-of-the-art stability. We…

Atomic Physics · Physics 2015-06-15 Michael Bishof , Xibo Zhang , Michael J. Martin , Jun Ye

In this study, we present a low cost and commercially available data acquisition system (DAQ) for an ordinary low alpha proportional counter. By employing this DAQ system and aid of a simple physical model, we can easily rule out the common…

Instrumentation and Detectors · Physics 2019-06-26 Tung Yuan Hsiao , C. H. Chen , Huan Niu

In this paper, the detection of a small reflector in a randomly heterogenous medium using second-harmonic generation is investigated. The medium is illuminated by a time-harmonic plane wave at frequency omega. It is assumed that the…

Analysis of PDEs · Mathematics 2013-06-26 Habib Ammari , Josselin Garnier , Pierre Millien

A high-precision charge measurement can be achieved by the area integration of a digitized quasi-Gaussian signal after the signal passes through the shaper and analog-to-digital converter (ADC). The charge measurement contains an error due…

Instrumentation and Detectors · Physics 2019-09-26 Jiajin Zhang , Lei Zhao , Ruoshi Dong , Peipei Deng , Cong Ma , Jiaming Lu , Shubin Liu , Qi An

A method for simulating power law noise in clocks and oscillators is presented based on modification of the spectrum of white phase noise, then Fourier transforming to the time domain. Symmetric real matrices are introduced whose…

Data Analysis, Statistics and Probability · Physics 2011-03-28 Neil Ashby

The oscillator, inherently, turns the phase noise of its internal components into frequency noise, which results into a multiplication by 1/f^2 in the phase-noise power spectral density. This phenomenon is known as the Leeson effect. This…

Instrumentation and Detectors · Physics 2010-05-03 Enrico Rubiola , Remi Brendel

Nonlinear distortion in power amplifiers (PA) can significantly degrade performance of orthogonal frequency division multiplexed (OFDM) communication systems. This paper presents a joint maximum-likelihood channel frequency response and…

Information Theory · Computer Science 2016-12-30 Sergey V. Zhidkov