English
Related papers

Related papers: Efficient and Accurate Frequency Estimation of Mul…

200 papers

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

An efficient estimator is constructed for the quadratic covariation or integrated co-volatility matrix of a multivariate continuous martingale based on noisy and nonsynchronous observations under high-frequency asymptotics. Our approach…

Statistics Theory · Mathematics 2014-07-02 Markus Bibinger , Nikolaus Hautsch , Peter Malec , Markus Reiß

Long-baseline optical interferometry uses the power spectrum and bispectrum constructs as fundamental observables. Noise arising in the detection of the fringe pattern gives rise to both variance and biases in the power spectrum and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 J. A. Gordon , D. F. Buscher

Recently we find several candidates of quantum algorithms that may be implementable in near-term devices for estimating the amplitude of a given quantum state, which is a core sub- routine in various computing tasks such as the Monte Carlo…

Quantum Physics · Physics 2021-10-12 Tomoki Tanaka , Yohichi Suzuki , Shumpei Uno , Rudy Raymond , Tamiya Onodera , Naoki Yamamoto

We derive a Cram\'er-Rao lower bound for the variance of Floquet multiplier estimates that have been constructed from stable limit cycles perturbed by noise. To do so, we consider perturbed periodic orbits in the plane. We use a periodic…

Dynamical Systems · Mathematics 2017-11-30 Aurya Javeed

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

This paper introduces a novel method to separate noisy speech into low or high frequency frames, in order to improve fundamental frequency (F0) estimation accuracy. In this proposal, the target signal is analyzed by means of the ensemble…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-21 A. Queiroz , R. Coelho

We consider the problem of estimating a Fourier-sparse signal from noisy samples, where the sampling is done over some interval $[0, T]$ and the frequencies can be "off-grid". Previous methods for this problem required the gap between…

Data Structures and Algorithms · Computer Science 2016-09-07 Xue Chen , Daniel M. Kane , Eric Price , Zhao Song

The optical interferometry has been widely used in various high precision applications. Usually, the minimum precision of an interferometry is limited by various technique noises in practice. To suppress such kind of noises, we propose a…

Optics · Physics 2018-06-20 Chen Fang , Jing-Zheng Huang , Guihua Zeng

Algorithms for mutual interference mitigation and object parameter estimation are a key enabler for automotive applications of frequency-modulated continuous wave (FMCW) radar. In this paper, we introduce a signal separation method to…

Signal Processing · Electrical Eng. & Systems 2024-10-03 Mate Toth , Erik Leitinger , Klaus Witrisal

In this letter, we address the problem of estimating Gaussian noise level from the trained dictionaries in update stage. We first provide rigorous statistical analysis on the eigenvalue distributions of a sample covariance matrix. Then we…

Signal Processing · Electrical Eng. & Systems 2017-12-12 Rui Chen , Changshui Yang , Huizhu Jia , Xiaodong Xie

Spectral estimation is a fundamental task in signal processing. Recent algorithms in quantum phase estimation are concerned with the large noise, large frequency regime of the spectral estimation problem. The recent work in…

Numerical Analysis · Mathematics 2024-05-03 Lexing Ying

Estimation of signal-to-noise ratios and residual variances in high-dimensional linear models has various important applications including, e.g. heritability estimation in bioinformatics. One commonly used estimator, usually referred to as…

Statistics Theory · Mathematics 2023-06-09 Xiaohan Hu , Xiaodong Li

In some applications of frequency estimation, the frequencies of multiple sinusoids are required to be estimated from sub-Nyquist sampling sequences. In this paper, we propose a novel method based on subspace techniques to estimate the…

Information Theory · Computer Science 2016-01-05 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

Stochastic noise estimator method is a powerful tool to calculate the disconnected insertion involving quark loops. We study the variance reduction technique with unbiased subtraction. We use the complex $Z_2$ noise to calculate the quark…

High Energy Physics - Lattice · Physics 2009-11-07 Nilmani Mathur , Shao-Jing Dong

In two-phase multiwave sampling, inexpensive measurements are collected on a large sample and expensive, more informative measurements are adaptively obtained on subsets of units across multiple waves. Adaptively collecting the expensive…

Methodology · Statistics 2026-03-18 Dan M. Kluger , Stephen Bates

The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections between fixed rank matrices and Hankel matrices to obtain such an approximation. Convergence,…

Numerical Analysis · Mathematics 2011-07-12 Fredrik Andersson , Marcus Carlsson , Per-Anders Ivert

In theory, active control could be used to reduce the unwanted noise reflections from surfaces such as a submarine hull or the walls of an anechoic room. In the recent years, a real-time algorithm has been developed to this effect at the…

Classical Physics · Physics 2009-11-25 Emmanuel Friot , Alexandre Gintz

A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

Methodology · Statistics 2012-07-04 Darren Homrighausen , Christopher R. Genovese

This paper studies two spectrum estimation methods for the case that the samples are obtained at a rate lower than the Nyquist rate. The first method is the correlogram method for undersampled data. The algorithm partitions the spectrum…

Statistics Theory · Mathematics 2013-11-25 Mahdi Shaghaghi , Sergiy A. Vorobyov