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In this paper, we develop Bayes and maximum a posteriori probability (MAP) approaches to monotonicity testing. In order to simplify this problem, we consider a simple white Gaussian noise model and with the help of the Haar transform we…

Statistics Theory · Mathematics 2019-09-23 Yuri Golubev , Christophe Pouet

Finite mixtures of multivariate normal distributions have been widely used in empirical applications in diverse fields such as statistical genetics and statistical finance. Testing the number of components in multivariate normal mixture…

Statistics Theory · Mathematics 2019-02-11 Hiroyuki Kasahara , Katsumi Shimotsu

In this paper, we analyze the frequency-hopping orthogonal frequency-division multiplexing (OFDM) system known as Multiband OFDM for high-rate wireless personal area networks (WPANs) based on ultra-wideband (UWB) transmission. Besides…

Information Theory · Computer Science 2016-11-15 C. Snow , L. Lampe , R. Schober

This paper proposes simple moment based spectrum sensing algorithm for cognitive radio networks in a flat fading channel. It is assumed that the transmitted signal samples are binary (quadrature) phase-shift keying BPSK (QPSK), Mary…

Applications · Statistics 2013-11-26 Tadilo Endeshaw Bogale , Luc Vandendorpe

For many implementations of quantum computing, 1/f and other types of broad-spectrum noise are an important source of decoherence. An important step forward would be the ability to back out the characteristics of this noise from qubit…

Quantum Physics · Physics 2011-07-15 Robert Joynt , Dong Zhou , Qiang-Hua Wang

We propose a multicarrier chirp-division multiplexing (MCDM) system in which orthogonal chirp waveforms are utilized as frequency subcarriers. Orthogonal characteristics of chirp subcarriers are analyzed in respect to cross-correlation…

Signal Processing · Electrical Eng. & Systems 2019-01-18 Song-Wen Huang , Dimitris A. Pados

The spectrum-rich millimeter wave (mmWave) frequencies have the potential to alleviate the spectrum crunch that the wireless and cellular operators are already experiencing. However, compared with traditional wireless communication in the…

Networking and Internet Architecture · Computer Science 2020-09-07 Chanaka Samarathunga , Mohamed Abouelseoud , Kazuyuki Sakoda , Morteza Hashemi

Optical phase-insensitive heterodyne (beat-note) detection, which measures the relative phase of two beams at different frequencies through their interference, is a key sensing technology for various spatial/temporal measurements, such as…

Quantum Physics · Physics 2024-05-20 Keitaro Anai , Yutaro Enomoto , Hiroto Omura , Koji Nagano , Kiwamu Izumi , Mamoru Endo , Shuntaro Takeda

In this paper, a novel Bayesian nonparametric test for assessing multivariate normal models is presented. While there are extensive frequentist and graphical methods for testing multivariate normality, it is challenging to find Bayesian…

Statistics Theory · Mathematics 2020-07-09 Luai Al-Labadi , Forough Fazeli Asl , Zahra Saberi

The widespread adoption of the \emph{maximum mean discrepancy} (MMD) in goodness-of-fit testing has spurred extensive research on its statistical performance. However, recent studies indicate that the inherent structure of MMD may constrain…

Methodology · Statistics 2025-11-11 Shiwei Sang , Shao-Bo Lin , Xuehu Zhu

A family of maximum mean discrepancy (MMD) kernel two-sample tests is introduced. Members of the test family are called Block-tests or B-tests, since the test statistic is an average over MMDs computed on subsets of the samples. The choice…

Machine Learning · Computer Science 2014-02-11 Wojciech Zaremba , Arthur Gretton , Matthew Blaschko

Searches for gravitational-wave bursts (transient signals, typically of unknown waveform) require identification of weak signals in background detector noise. The sensitivity of such searches is often critically limited by non-Gaussian…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Thomas S. Adams , Duncan Meacher , James Clark , Patrick J. Sutton , Gareth Jones , Ariana Minot

Beyond LISA, proposed space-based gravitational wave (GW) missions aim to explore the sub-millihertz to microhertz frequency band, with one key objective being the detection of massive binary black hole (MBBH) mergers across cosmic…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Renjie Wang , Yumeng Xu , Gang Wang , Bin Hu , Rong-Gen Cai

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

Statistics Theory · Mathematics 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

We consider the multiple-input multiple-output (MIMO) communication channel impaired by phase noises at both the transmitter and receiver. We focus on the maximum likelihood (ML) detection problem for uncoded single-carrier transmission. We…

Information Theory · Computer Science 2017-08-09 Richard Combes , Sheng Yang

Wi-Fi channel measurements across different bands, e.g., sub-7-GHz and 60-GHz bands, are asynchronous due to the uncoordinated nature of distinct standards protocols, e.g., 802.11ac/ax/be and 802.11ad/ay. Multi-band Wi-Fi fusion has been…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Sorachi Kato , Pu Perry Wang , Toshiaki Koike-Akino , Takuya Fujihashi , Hassan Mansour , Petros Boufounos

Millimeter wave (mmWave) has great potential in realizing high data rate thanks to the large spectral channels. It is considered as a key technology for the fifth generation wireless networks and is already used in wireless LAN (e.g., IEEE…

Information Theory · Computer Science 2015-11-11 Vutha Va , Junil Choi , Robert W. Heath

This paper considers the problem of robust hypothesis testing under non-identically distributed data. We propose Wald-type tests for both simple and composite hypothesis for independent but non-homogeneous observations based on the robust…

Methodology · Statistics 2019-05-09 Ayanendranath Basu , Abhik Ghosh , Nirian Martin , Leandro Pardo

It is challenging for full-waveform inversion to determine geologically informative models from field data. An inaccurate wavelet can make it more complicated. We develop a novel misfit function, entitled deconvolutional double-difference…

Geophysics · Physics 2022-01-12 Fuqiang Chen , Daniel Peter

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally…

Soft Condensed Matter · Physics 2015-06-22 Remi Dreyfus , Ye Xu , Tim Still , Lawrence A. Hough , A. G. Yodh , Salvatore Torquato
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