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A practical constraint that comes in the way of spectrum estimation of a continuous time stationary stochastic process is the minimum separation between successively observed samples of the process. When the underlying process is not…

Statistics Theory · Mathematics 2011-06-23 Radhendushka Srivastava , Debasis Sengupta

Network reconstruction of dynamical continuous-time (CT) systems is motivated by applications in many fields. Due to experimental limitations, especially in biology, data could be sampled at low frequencies, leading to significant…

Systems and Control · Computer Science 2018-10-30 Zuogon Yue , Johan Thunberg , Lennart Ljung , Ye Yuan , Jorge Goncalves

In many applications of frequency estimation, the frequencies of the signals are so high that the data sampled at Nyquist rate are hard to acquire due to hardware limitation. In this paper, we propose a novel method based on subspace…

Information Theory · Computer Science 2015-08-27 Shan Huang , Hong Sun , Lei Yu , Haijian Zhang

Cost-effective wireless electrocardiograms (ECGs) enable long-term and scalable monitoring of cardiac patients in their home and work environments. Because they offer greater freedom of movement, they are also suitable for investigating the…

Medical Physics · Physics 2026-04-09 Yalemzerf Getnet , Waltenegus Dargie

We explain why aliasing can be detected in a generic temporally-sampled stationary signal process. We then define a concept of stationarity that makes sense for single waveforms. (This is done without assuming that the waveform is a sample…

chao-dyn · Physics 2007-05-23 Kevin R. Vixie , David E. Sigeti , Murray Wolinsky

Respiration rate (RR) is an important vital sign for clinical monitoring of hospitalized patients, with changes in RR being strongly tied to changes in clinical status leading to adverse events. Human labels for RR, based on counting…

Signal Processing · Electrical Eng. & Systems 2025-08-25 Thomas Kite , Brian Ayers , Nicholas Houstis , Asishana A. Osho , Thoralf M. Sundt , Aaron D Aguirre

Sampling a signal below the Shannon-Nyquist rate causes aliasing, meaning different frequencies to become indistinguishable. It is also well-known that recovering spectral information from a signal using a parametric method can be ill-posed…

Numerical Analysis · Mathematics 2018-10-09 Annie Cuyt , Wen-shin Lee

Reverberation chambers (RCs) were recently reported as a low-cost alternative to anechoic chambers (ACs) to perform radar cross-section (RCS) pattern measurements. The method consists of using transmitting and receiving antennas pointing…

Controversy regarding the correctness of a test for aliasing proposed by Hinich and Wolinsky has been surprisingly long-lived. Two factors have prolonged this controversy. One factor is the presence of deep-seated intuitions that such a…

chao-dyn · Physics 2007-05-23 Kevin R. Vixie , Murray Wolinsky , David Sigeti

A method to upsample insufficiently sampled experimental time series of pseudo-periodic signals is proposed. The result is an estimate of the pseudo-periodic cycle underlying the signal. This hypersampling requires a sufficiently sampled…

Medical Physics · Physics 2018-05-01 Henning U. Voss

Method: In this study, a new method is introduced for distinguishing noise-free segments of ECG from noisy segments that use sample amplitude dispersion with an adoptive threshold for variance of samples amplitude and a method which uses…

Signal Processing · Electrical Eng. & Systems 2021-05-24 Zahra Rezaei Khavas , Babak Mohammadzadeh Asl

Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay…

Data Analysis, Statistics and Probability · Physics 2009-11-10 R. B. Govindan , J. Raethjen , F. Kopper , J. C. Claussen , G. Deuschl

This article addresses the measurement of the power spectrum of red noise processes at the lowest frequencies, where the minimum acquisition time is so long that it is impossible to average on a sequence of data record. Therefore, averaging…

Data Analysis, Statistics and Probability · Physics 2022-06-30 Antoine Baudiquez , Éric Lantz , Enrico Rubiola , François Vernotte

The characterization of heart dynamics with a view to distinguish abnormal from normal behavior is an interesting topic in clinical sciences. Here we present an analysis of the Electro-cardiogram (ECG) signals obtained under controlled…

Tissues and Organs · Quantitative Biology 2018-09-05 Snehal M. Shekatkar , Yamini Kotriwar , K. P. Harikrishnan , G. Ambika

Higher Order Spectral (HOS) analysis is often applied effectively to analyze many bio-medical signals to detect nonlinear and non-Gaussian processes. One of the most basic HOS methods is the bispectral estimation, which extracts the degree…

Medical Physics · Physics 2018-09-25 Yamini Kotriwar , Sneha Kachhara , K. P. Harikrishnan , G. Ambika

Respiratory rate (RR) is a clinical metric used to assess overall health and physical fitness. An individual's RR can change from their baseline due to chronic illness symptoms (e.g., asthma, congestive heart failure), acute illness (e.g.,…

Sound · Computer Science 2021-07-30 Agni Kumar , Vikramjit Mitra , Carolyn Oliver , Adeeti Ullal , Matt Biddulph , Irida Mance

This paper investigates aliasing effects emerging from the reconstruction from discrete samples of spin spherical random fields defined on the two-dimensional sphere. We determine the location in the frequency domain and the intensity of…

Probability · Mathematics 2026-01-26 Claudio Durastanti

Received signal strength based respiration rate monitoring is emerging as an alternative non-contact technology. These systems make use of the radio measurements of short-range commodity wireless devices, which vary due to the inhalation…

Signal Processing · Electrical Eng. & Systems 2017-11-28 Hüseyin Yiğitler , Ossi Kaltiokallio , Roland Hostettler , Riku Jäntti , Neal Patwari , Simo Särkkä

Recent evidence has revealed cross-frequency coupling and, particularly, phase-amplitude coupling (PAC) as an important strategy for the brain to accomplish a variety of high-level cognitive and sensory functions. However, decoding PAC is…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Giulia Cisotto

We study the synchronization between left and right hemisphere rat EEG channels by using various synchronization measures, namely non-linear interdependences, phase-synchronizations, mutual information, cross-correlation and the coherence…

Chaotic Dynamics · Physics 2016-09-08 R. Quian Quiroga , A. Kraskov , T. Kreuz , P. Grassberger
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