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A multivariate signal denoising method is proposed which employs a novel multivariate goodness of fit (GoF) test that is applied at multiple data scales obtained from discrete wavelet transform (DWT). In the proposed multivariate GoF test,…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Khuram Naveed , Naveed ur Rehman

This paper adresses the problem of testing for the equality of $k$ probability distributions on Hilbert spaces, with $k\geqslant 2$. We introduce a generalization of the maximum variance discrepancy called multiple maximum variance…

Statistics Theory · Mathematics 2024-04-16 Armando Sosthène Kali Balogoun , Guy Martial Nkiet

We present the Maximal Overlap Discrete Wavelet Scattering Transform (MODWST), whose construction is inspired by the combination of the Maximal Overlap Discrete Wavelet Transform (MODWT) and the Scattering Wavelet Transform (WST). We also…

Machine Learning · Computer Science 2025-06-17 Leonardo Fonseca Larrubia , Pedro Alberto Morettin , Chang Chiann

Wireless power transfer (WPT) technologies hold promise for enhancing device autonomy, particularly for energy-limited IoT systems. This paper presents experimental results on coherent and non-coherent transmit diversity approaches for WPT,…

Non-stationarity of the rate or variance of events is a well-known problem in the description and analysis of time series of events, such as neuronal spike trains. A multiple filter test (MFT) for rate homogeneity has been proposed earlier…

Applications · Statistics 2018-10-03 Stefan Albert , Michael Messer , Julia Schiemann , Jochen Roeper , Gaby Schneider

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

Quantitative Methods · Quantitative Biology 2019-01-30 Christopher K. Kovach , Phillip E. Gander

A new form of the filter bank multi-carrier spread spectrum (FBMC-SS) waveform is presented. This new waveform modifies the filtered multi-tone spread spectrum (FMT-SS) system, and is intended to whiten the power spectral density (PSD) of…

Signal Processing · Electrical Eng. & Systems 2025-03-28 Brian Nelson , Hussein Moradi , Behrouz Farhang-Boroujeny

A novel broadband microwave (MW) spectrum measurement (BMSM) scheme based on code-free optical undersampling and homodyne detection is proposed. The fully analog generation of optical pulses with a far-less-than-Nyquist rate is only through…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Guangyu Gao , Xueshuang Xiang , Qijun Liang , Naijin Liu

We propose a new testing procedure for detecting localized departures from monotonicity of a signal embedded in white noise. In fact, we perform simultaneously several tests that aim at detecting departures from concavity for the integrated…

Statistics Theory · Mathematics 2014-03-10 Nathalie Akakpo , Fadoua Balabdaoui , Cécile Durot

We propose a new omnibus test for vector white noise using the maximum absolute auto-correlations and cross-correlations of the component series. Based on the newly established approximation by the $L_\infty$-norm of a normal random vector,…

Methodology · Statistics 2017-02-28 Jinyuan Chang , Qiwei Yao , Wen Zhou

We describe the use of digital phase noise test sets at frequencies well beyond the sampling rate of their analog-to-digital converters. The technique proposed involves the transfer of phase fluctuations from an arbitrary high carrier…

Instrumentation and Detectors · Physics 2014-10-21 Stephen R. Parker , Eugene N. Ivanov , John G. Hartnett

Goodness-of-fit tests based on the empirical Wasserstein distance are proposed for simple and composite null hypotheses involving general multivariate distributions. For group families, the procedure is to be implemented after preliminary…

Methodology · Statistics 2021-01-28 Marc Hallin , Gilles Mordant , Johan Segers

We propose a new procedure for white noise testing of a functional time series. Our approach is based on an explicit representation of the $L^2$-distance between the spectral density operator and its best ($L^2$-)approximation by a spectral…

Statistics Theory · Mathematics 2017-09-06 Pramita Bagchi , Vaidotas Characiejus , Holger Dette

The accuracy of microwave measurements is not only critical for applications in telecommunication and radar, but also for future quantum computers. Qubit technologies such as superconducting qubits or spin qubits require detecting minuscule…

Quantum Physics · Physics 2023-03-14 N. Crescini , E. G. Kelly , G. Salis , A. Fuhrer

Kernel embeddings of distributions and the Maximum Mean Discrepancy (MMD), the resulting distance between distributions, are useful tools for fully nonparametric two-sample testing and learning on distributions. However, it is rarely that…

Machine Learning · Statistics 2017-11-07 Ho Chung Leon Law , Christopher Yau , Dino Sejdinovic

Testing for multi-dimensional white noise is an important subject in statistical inference. Such test in the high-dimensional case becomes an open problem waiting to be solved, especially when the dimension of a time series is comparable to…

Methodology · Statistics 2022-11-08 Long Feng , Binghui Liu , Yanyuan Ma

In the device-independent quantum information approach, the implementation of a given task can be self-tested solely from the recorded statistics and without detailed models for the employed devices. Even though experimentally demanding, it…

Quantum Physics · Physics 2021-01-20 Máté Farkas , Nayda Guerrero , Jaime Cariñe , Gustavo Cañas , Gustavo Lima

For given computational resources, the accuracy of plasma simulations using particles is mainly held back by the noise due to limited statistical sampling in the reconstruction of the particle distribution function. A method based on…

Computational Physics · Physics 2009-09-03 Romain Nguyen van yen , Diego del-Castillo-Negrete , Kai Schneider , Marie Farge , Guangye Chen

A wavelet-based changepoint method is proposed that determines when the variability of the noise in a sequence of functional profiles goes out-of-control from a known, fixed value. The functional portion of the profiles are allowed to come…

Methodology · Statistics 2015-08-20 Vladimir J. Geneus , Eric Chicken , Jordan Cuevas , Joseph J. Pignatiello

Microwave photonics (MWP), harnessing the tremendous bandwidth of light to generate, process and measure wideband microwave signals, are poised to spark a new revolution for the information and communication fields. Within the past decade,…

Applied Physics · Physics 2022-02-24 Yuansheng Tao , Fenghe Yang , Zihan Tao , Lin Chang , Haowen Shu , Ming Jin , Yan Zhou , Zhangfeng Ge , Xingjun Wang
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