Relevant bibliographies by topics / Bispectrums

Academic literature on the topic 'Bispectrums'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Bispectrums"

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Wang, Hongchao. "Fault diagnosis of rolling element bearing compound faults based on sparse no-negative matrix factorization-support vector data description." Journal of Vibration and Control 24, no. 2 (March 10, 2016): 272–82. http://dx.doi.org/10.1177/1077546316637979.

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The bispectrum of rolling element bearing compound faults contains abundant fault characteristic information, and how to extract the fault feature effectively is a key problem. The fault diagnosis method of rolling element bearing compound faults based on Sparse No-Negative Matrix Factorization (SNMF)-Support Vector Data Description (SVDD) is proposed in the paper. The figure handling method SNMF is used firstly in fault feature extraction of the bispectrums of rolling element bearing different kinds of compound faults and the sparse coefficient matrices of the bispectrums are obtained. The sparse coefficient matrices are used as training and test input vectors of SVDD. At last, the three kinds of rolling element bearing compound faults (inner race outer race compound faults, outer race rolling element compound faults and inner race outer race rolling element compound faults) are classified correctly. In order to verify the advantages of the proposed method, the diagnosis results of the same three kinds of rolling element bearing compound faults based on No-Negative Matrix Factorization (NMF)-SVDD is used as comparison. The proposed method provides a new idea for fault diagnosis of rolling element bearing compound faults.
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Li, Fu Cai, Lin Ye, Gui Cai Zhang, and Guang Meng. "Bearing Fault Detection Using Higher-Order Statistics Based ARMA Model." Key Engineering Materials 347 (September 2007): 271–76. http://dx.doi.org/10.4028/www.scientific.net/kem.347.271.

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Impulse response provides important information about flaws in mechanical system. Deconvolution is one system identification technique for fault detection when signals captured from bearings with and without flaw are both available. However effects of measurement systems and noise are obstacles to the technique. In the present study, a model, namely autoregressive-moving average (ARMA), is used to estimate vibration pattern of rolling element bearings for fault detection. The frequently used ARMA estimator cannot characterize non-Gaussian noise completely. Aimed at circumventing the inefficiency of the second-order statistics-based ARMA estimator, higher-order statistics (HOS) was introduced to ARMA estimator, which eliminates the effect of noise greatly and, therefore, offers more accurate estimation of the system. Furthermore, bispectrums of the estimated HOS-based ARMA models were subsequently applied to get clearer information. Impulse responses of signals captured from the test bearings without and with flaws and their bispectra were compared for the purpose of fault detection. The results demonstrated the excellent capability of this method in vibration signal processing and fault detection.
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Huang, Jin Ying, Hong Xia Pan, and Shi Hua Bi. "Your Bearing Fault Diagnosis Based on Bispectrum and Bispectrum Entropy Feature." Advanced Materials Research 159 (December 2010): 708–13. http://dx.doi.org/10.4028/www.scientific.net/amr.159.708.

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Fault feature extraction and application is the key technology of fault diagnosis. In this paper, a fault diagnosis method using bispectrum and bispectrum entropy as the fault feature parameters is put forward. Bispectrum entropy as the information entropy in bispectrum domain can reflect the complexity of information energy. When the structure is failed, the distribution of bispectrum will be changed. bispectrum entropy can reflect this change and achieve good separation of the different types of fault. Vibration signal in different bearing states of a secondary drive gearbox is compared and analyzed, bispectrum energy spetrum and bispectrum entropy are extracted. Feature vector is set up via bispectrum entropy for the fault pattern recognition and diagnosis by BP neural network. The analysis result proves that bispectrum entropy is more sensitive to fault characteristic and can separate the fault of bearing.
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Zhang, Gui Cai, Jin Chen, Fu Cai Li, and Wei Hua Li. "Extracting Gear Fault Features Using Maximal Bispectrum." Key Engineering Materials 293-294 (September 2005): 167–74. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.167.

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Bispectrum is a powerful tool for non-Gaussian signal processing and nonlinearity detection. However, it is difficult to use in practical applications due to that it is a 2-dimensional function. Bispectral slices are widely used reduction methods, and they can only represent a small part of the whole bispectral information. Integrated bispectrum contains more signal features than that of the bispectral slices, whereas the integration will lose the focus of some signal features. To overcome these problems, a new approach called maximal bispectrum is proposed to extract signal features. Maximal bispectrum is obtained by selecting the maximal values of every row of the magnitude bispectrum in the whole bispectral plane and it is a 1-dimensional function. Feature extraction based on maximal bispectrum is investigated and the maximal bispectrum is used to extract features of gear fault. Experimental results indicate that the maximal bispectrum is effective for diagnosing gear crack fault.
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Shaw, Abinash Kumar, Somnath Bharadwaj, Debanjan Sarkar, Arindam Mazumdar, Sukhdeep Singh, and Suman Majumdar. "A fast estimator for quantifying the shape dependence of the 3D bispectrum." Journal of Cosmology and Astroparticle Physics 2021, no. 12 (December 1, 2021): 024. http://dx.doi.org/10.1088/1475-7516/2021/12/024.

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Abstract The dependence of the bispectrum on the size and shape of the triangle contains a wealth of cosmological information. Here we consider a triangle parameterization which allows us to separate the size and shape dependence. We have implemented an FFT based fast estimator for the three dimensional (3D) bin averaged bispectrum, and we demonstrate that it allows us to study the variation of the bispectrum across triangles of all possible shapes (and also sizes). The computational requirement is shown to scale as ∼ N g 3 log N g 3 where N g is the number of grid points along each side of the volume. We have validated the estimator using a non-Gaussian field for which the bispectrum can be analytically calculated. The estimated bispectrum values are found to be in good agreement (< 10 % deviation) with the analytical predictions across much of the triangle-shape parameter space. We also introduce linear redshift space distortion, a situation where also the bispectrum can be analytically calculated. Here the estimated bispectrum is found to be in close agreement with the analytical prediction for the monopole of the redshift space bispectrum.
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Morita, Koh-Ichiro. "The Bispectrum analysis technique in millimeter interferometry." International Astronomical Union Colloquium 131 (1991): 197–201. http://dx.doi.org/10.1017/s0252921100013300.

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AbstractWe propose an application of the bispectrum analysis technique in millimeter interferometry, which is used in the speckle masking technique. For the millimeter interferometry, in which atmospheric phase fluctuations are very serious, not only bispectrum phase but also bispectrum amplitude is good observable. We have developed an algorithm to reconstruct images directly from bispectrum. We have made good maps with this algorithm in the case of both simple and compact sources.
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Wang, Haibin, Junbo Long, Zeliang Liu, and Fang You. "Fault Characteristic Extraction by Fractional Lower-Order Bispectrum Methods." Mathematical Problems in Engineering 2020 (December 31, 2020): 1–24. http://dx.doi.org/10.1155/2020/8823389.

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The generated signals generally contain a large amount of background noise when the mechanical bearing fails, and the fault signals present nonlinear and non-Gaussian feature, which have heavy tail and belong to α -stable distribution ( 1 < α < 2 ); even the background noises are also α -stable distribution process. Then it is difficult to obtain reliable conclusion by using the traditional bispectral analysis method under α -stable distribution environment. Two improved bispectrum methods are proposed based on fractional lower-order covariation in this paper, including fractional low-order direct bispectrum (FLODB) method, fractional low-order indirect bispectrum (FLOIDB) method. In order to decrease the estimate variance and increase the bispectral flatness, the fractional lower-order autoregression (FLOAR) model bispectrum and fractional lower-order autoregressive moving average (FLOARMA) model bispectrum methods are presented, and their calculation steps are summarized. We compare the improved bispectrum methods with the conventional methods employing second-order statistics in Gaussian and S α S distribution environments; the simulation results show that the improved bispectrum methods have performance advantages compared to the traditional methods. Finally, we use the improved methods to estimate the bispectrum of the normal and outer race fault signal; the result indicates that they are feasible and effective for fault diagnosis.
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Watkinson, Catherine A., Cathryn M. Trott, and Ian Hothi. "The bispectrum and 21-cm foregrounds during the Epoch of Reionization." Monthly Notices of the Royal Astronomical Society 501, no. 1 (November 28, 2020): 367–82. http://dx.doi.org/10.1093/mnras/staa3677.

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ABSTRACT Numerous studies have established the theoretical potential of the 21-cm bispectrum to boost our understanding of the Epoch of Reionization (EoR). We take a first look at the impact of foregrounds (FGs) and instrumental effects on the 21-cm bispectrum and our ability to measure it. Unlike the power spectrum for which (in the absence of instrumental effects) there is a window clear of smooth-spectrum FGs in which it may be detectable, there is no such ‘EoR window’ for the bispectrum. For the triangle configurations and scales we consider, the EoR structures are completely swamped by those of the FGs, and the EoR + FG bispectrum is entirely dominated by that of the FGs. By applying a rectangular window function on the sky combined with a Blackman–Nuttall filter along the frequency axis, we find that spectral, or in our case scale, leakage (caused by FFTing non-periodic data) suppresses the FG contribution so that cross-terms of the EoR and FGs dominate. While difficult to interpret, these findings motivate future studies to investigate whether filtering can be used to extract information about the EoR from the 21-cm bispectrum. We also find that there is potential for instrumental effects to seriously corrupt the bispectrum. FG removal using GMCA (generalized morphological component analysis) is found to recover the EoR bispectrum to a reasonable level of accuracy for many configurations. Further studies are necessary to understand the error and/or bias associated with FG removal before the 21-cm bispectrum can be practically applied in analysis of future data.
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Schmittfull, Marcel. "Large-scale structure non-Gaussianities with modal methods." Proceedings of the International Astronomical Union 11, S308 (June 2014): 67–68. http://dx.doi.org/10.1017/s1743921316009649.

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AbstractRelying on a separable modal expansion of the bispectrum, the implementation of a fast estimator for the full bispectrum of a 3d particle distribution is presented. The computational cost of accurate bispectrum estimation is negligible relative to simulation evolution, so the bispectrum can be used as a standard diagnostic whenever the power spectrum is evaluated. As an application, the time evolution of gravitational and primordial dark matter bispectra was measured in a large suite of N-body simulations. The bispectrum shape changes characteristically when the cosmic web becomes dominated by filaments and halos, therefore providing a quantitative probe of 3d structure formation. Our measured bispectra are determined by ∼ 50 coefficients, which can be used as fitting formulae in the nonlinear regime and for non-Gaussian initial conditions. We also compare the measured bispectra with predictions from the Effective Field Theory of Large Scale Structures (EFTofLSS).
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Delgado, Paola C. M., Ruth Durrer, and Nelson Pinto-Neto. "The CMB bispectrum from bouncing cosmologies." Journal of Cosmology and Astroparticle Physics 2021, no. 11 (November 1, 2021): 024. http://dx.doi.org/10.1088/1475-7516/2021/11/024.

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Abstract In this paper we compute the CMB bispectrum for bouncing models motivated by Loop Quantum Cosmology. Despite the fact that the primordial bispectrum of these models is decaying exponentially above a large pivot scale, we find that the cumulative signal-to-noise ratio of the bispectrum induced in the CMB from scales ℓ<30 is larger than 10 in all cases of interest and therefore can, in principle, be detected in the Planck data.
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Dissertations / Theses on the topic "Bispectrums"

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Жемчужкіна, Т. В., and Т. В. Носова. "Construction of bispectra for PCG signals." Thesis, НТУ «ХПІ», 2021. https://openarchive.nure.ua/handle/document/17555.

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To construct bispectra for separate segments of PCG such as sounds and murmurs we applied segmentation method based on averaged Shannon envelope. We got bispectrums of sounds and murmurs for different signals: normal and pathological. It can be seen that bispectra are non-zero, so signals are non-Gaussian. There is phase coupling between each two frequencies for each bispectrum. And also, the patterns for bispectra for each person are different in all groups.
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Cole, Zachary K. "Radar target recognition using bispectrum correlation." Thesis, Monterey, Calif. : Naval Postgraduate School, 2007. http://bosun.nps.edu/uhtbin/hyperion-image.exe/07Jun%5FCole.pdf.

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Thesis (M.S. in Physics)--Naval Postgraduate School, June 2007.
Thesis Advisor(s): Brett Borden. "June 2007." Description based on title screen as viewed on July 31, 2007. Includes bibliographical references (p. 79-80). Also available in print.
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Pike, Cameron M. "Multipath signal detection using the bispectrum." Ohio : Ohio University, 1990. http://www.ohiolink.edu/etd/view.cgi?ohiou1183467926.

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Fergusson, J. "Primordial non-Gaussianity and the CMB bispectrum." Thesis, University of Cambridge, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598987.

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In this thesis we will present a comprehensive set of formalisms for comparing, evolving, and constraining primordial non-Gaussian models through the CMB bispectrum. First, we introduce the idea of a shape function for characterising the primordial non-Gaussianity. The shape function can also be used to construct a correlator between the models which we use to group the space of possible models into four main classes: equilateral, squeezed, flattened, and scale dependent. Next, we use a common property of the shape function to create a method for calculating, without approximation, the CMB bispectrum from a general primordial model. There are two techniques we use to speed up the calculation. The first is to use the flat sky approximation for large l, and the second is to exploit the smoothness of the reduced bispectrum to calculate the bispectrum first on a sparse grid then interpolate to obtain the remaining points. We then discuss methods for calculating estimators by decomposing the bispectrum, either today or at primordial times, into the product of eigenmodes. First we deal with the primordial bispectrum and describe how the decomposition can be used to both constrain primordial models and to estimate the primordial bispectrum from observations. Then we repeat the analysis for the CMB bispectrum and describe how this process can be used to constrain models, but this time allowing for the inclusion of late time effects. It also presents a method for generating maps with an arbitrary bispectrum and power spectrum.
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Yankelevich, Victoria [Verfasser]. "Cosmology with the galaxy bispectrum / Victoria Yankelevich." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1200020030/34.

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Ambrogi, Federico. "Bispectrum of cosmological models with massive neutrinos." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7429/.

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Uno dei più importanti campi di ricerca che coinvolge gli astrofisici è la comprensione della Struttura a Grande Scala dell'universo. I principi della Formazione delle Strutture sono ormai ben saldi, e costituiscono la base del cosiddetto "Modello Cosmologico Standard". Fino agli inizi degli anni 2000, la teoria che spiegava con successo le proprietà statistiche dell'universo era la cosiddetta "Teoria Perturbativa Standard". Attraverso simulazioni numeriche e osservazioni di qualità migliore, si è evidenziato il limite di quest'ultima teoria nel descrivere il comportamento dello spettro di potenza su scale oltre il regime lineare. Ciò spinse i teorici a trovare un nuovo approccio perturbativo, in grado di estendere la validità dei risultati analitici. In questa Tesi si discutono le teorie "Renormalized Perturbation Theory"e"Multipoint Propagator". Queste nuove teorie perturbative sono la base teorica del codice BisTeCca, un codice numerico originale che permette il calcolo dello spettro di potenza a 2 loop e del bispettro a 1 loop in ordine perturbativo. Come esempio applicativo, abbiamo utilizzato BisTeCca per l'analisi dei bispettri in modelli di universo oltre la cosmologia standard LambdaCDM, introducendo una componente di neutrini massicci. Si mostrano infine gli effetti su spettro di potenza e bispettro, ottenuti col nostro codice BisTeCca, e si confrontano modelli di universo con diverse masse di neutrini.
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Pettinari, Guido Walter. "The intrinsic bispectrum of the Cosmic Microwave Background." Thesis, University of Portsmouth, 2013. https://researchportal.port.ac.uk/portal/en/theses/the-intrinsic-bispectrum-of-the-cosmic-microwave-background(ce62a4e8-625f-4c84-9e0c-821df12cba10).html.

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Cosmology, intended as the study of the origin and evolution of the Universe and its components, has advanced from being a philosophical discipline to a data-driven science. Much of this progress was achieved in the last few decades thanks to the wealth of cosmological data from Earth and space-based experiments. The abundance of observational constraints has considerably narrowed the space for theoretical speculation, to the point that now most of the cosmological community agrees on a standard model of cosmology. A crucial assumption of this model is that the structure observed in the Universe, such as planets, stars and galaxies, can be ultimately traced back to tiny density perturbations in the early Universe. Therefore, a huge theoretical and experimental effort is being made by cosmologists and particle physicists to gain insight of the mechanism of generation of these primordial fluctuations, which remains still largely unknown. The bispectrum of the cosmic microwave background (CMB) has been recently recognised as a powerful probe of this mechanism, as it is sensitive to the non-Gaussian features in the seed fluctuations. To access this information, however, it is crucial to model the non-linear evolution of the CMB between the formation of the initial fluctuations and its observation, which results in the emergence of an intrinsic bispectrum. The main purpose of this thesis is to quantify the intrinsic bispectrum and compute the bias it induces on the primordial signal. To do so, we develop SONG, a new and efficient code for solving the second-order Einstein-Boltzmann equations, and use it to estimate the intrinsic CMB non-Gaussianity arising from the non-linear evolution of density perturbations. The full calculation involves contributions from recombination and less tractable ones from terms integrated along the line of sight. We investigate the bias that this intrinsic bispectrum implies for searches of primordial non-Gaussianity. We find that the inclusion or omission of certain line of sight terms can make a large impact. When including all physical effects but lensing and time-delay, we find that the contamination from the intrinsic bispectrum generally leads to a small bias in the estimates of non-Gaussianity, which is good news for the prospect of using cosmic microwave background data to probe primordial non-Gaussianity. The intrinsic non-Gaussianity can be searched for directly, using the predicted signal as a template; our calculations suggest this signal is just beyond what is possible with the Planck CMB survey, with a signal-to-noise rising to unity only for an angular resolution of `max = 3000.
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Jolicoeur, Sheean. "The observed bispectrum for SKA and other galaxy surveys." University of the Western Cape, 2019. http://hdl.handle.net/11394/6792.

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Philosophiae Doctor - PhD
Next-generation galaxy surveys will usher in a new era of high precision cosmology. They will increasingly rely on the galaxy bispectrum to provide improved constraints on the key parameters of a cosmological model to percent level or even beyond. Hereby, it is imperative to understand the theory of the galaxy bispectrum to at least the same level of precision. By this, we mean to include all the general relativistic projection effects arising from observing on the past lightcone, which still remains a theoretical challenge. This is because unlike the galaxy power spectrum, the galaxy bispectrum requires these lightcone corrections at second-order. For the rst time, this PhD project looks at all the local relativistic lightcone e ects in the galaxy bispectrum for a at Friedmann-Lemaitre-Robertson-Walker Universe, giving full details on the second-order scalars, vectors and tensors. These lightcone effects are mostly Doppler and gravitational potential contributions. The vector and tensor modes are induced at second order by scalars. We focus on the squeezed shapes for the monopole of the galaxy bispectrum because non-Gaussianity of the local form shows high signatures for these triangular con gurations. In the exact squeezed limit, the contributions from the vectors and tensors vanish. These relativistic projection effects, if not included in the analysis of observations, can be mistaken for primordial non-Gaussianity. For future surveys which will probe equality scales and beyond, all the relativistic corrections will need to be considered for an accurate measurement of primordial non-Gaussianity.
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Pearson, Ruth. "CMB lensing : polarization, large-scale structure and the primordial bispectrum." Thesis, University of Sussex, 2014. http://sro.sussex.ac.uk/id/eprint/48418/.

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Gravitational lensing of photons in the Cosmic Microwave Background (CMB) can be described by an integrated potential along the line of sight, the CMB lensing potential. Covariances in maps of the CMB are generated by the lensing effect, and are used to reconstruct the lensing potential itself, which is a useful probe of the matter distribution. The CMB lensing potential has been measured to high significance with CMB temperature data. However, signal to noise for lensing reconstruction from CMB polarization data is expected to be much better due to the presence of the lensing B-mode. Upcoming data from ground based CMB polarization instruments will provide high resolution maps over small patches of the sky. This will provide much better lensing reconstruction, but also presents data analysis challenges. This thesis begins with an introduction to the field of CMB lensing and CMB lensing reconstruction. The second chapter details the biases present in reconstructing the lensing potential from CMB polarization maps considering first the full sky, and then small patches of sky. It also shows that using the pure-B mode formalism for the CMB polarization leads to improved lensing reconstruction over the naive case on the cut sky. Given the upcoming improvement in the CMB lensing reconstruction, it is expected that cross-correlations of the CMB lensing with other structure tracers, such as galaxies, will yield improved information for cosmology. It is also expected that the CMB lensing will become useful to help constrain uncertainties in the galaxy power spectrum, and provide information on the linear galaxy bias and redshift distribution. The third chapter of the thesis forecasts the power of cross correlation science for a number of galactic and non-galactic parameters. Finally, the CMB lensing effects the level of non-Gaussianity observed in the CMB. The fourth chapter of the thesis is a study of the lensing effect on the primordial squeezed bispectrum. We conclude in the fifth chapter.
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Lin, Tsu-Shiuan. "Accelerating radio transient detection using the Bispectrum algorithm and GPGPU." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/21198.

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Modern radio interferometers such as those in the Square Kilometre Array (SKA) project are powerful tools to discover completely new classes of astronomical phenomena. Amongst these phenomena are radio transients. Transients are bursts of electromagnetic radiation and is an exciting area of research as localizing pulsars (transient emitters) allow physicists to test and formulate theories on strong gravitational forces. Current methods for detecting transients requires an image of the sky to be produced at every time step. Since interferometers have more information available to them, the computational demands for producing images becomes infeasible due to the larger data sets provided by larger interferometers. Law and Bower (2012) formulated a different approach by using a closure quantity known as the "bispectrum": the product of visibilities around a closed loop of antennae. The proposed algorithm has been shown to be easily parallelized and suitable for Graphics processing units (GPUs).Recent advancements in the field of many core technology such as GPUs has demonstrated significant performance enhancements to many scientific applications. A GPU implementation of the bispectrum algorithm has yet to be explored. In this thesis, we present a number of modified implementations of the bispectrum algorithm, allowing both instruction-level and data-level parallelism. Firstly, a multi-threaded CPU version is developed in C++ using OpenMP and then compared to a GPU version developed using Compute Unified Device Architecture (CUDA).In order to verify validity of the implementations presented, the implementations were firstly run on simulated data created from MeqTrees: a tool for simulating transients developed by the SKA. Thereafter, data from the Karl Jansky Very Large Array (JVLA) containing the B0355+54pulsar was used to test the implementation on real data. This research concludes that the bispectrum algorithm is well suited for both CPU and GPU implementations as we achieved a 3.2x speed up on a 4-core multi-threaded CPU implementation over a single thread implementation. The GPU implementation on a GTX670, achieved about a 20 times speed-up over the multi-threaded CPU implementation. These results show that the bispectrum algorithm will open doors to a series of efficient transient surveys suitable for modern data-intensive radio interferometers.
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Books on the topic "Bispectrums"

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Pettinari, Guido Walter. The Intrinsic Bispectrum of the Cosmic Microwave Background. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21882-3.

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Shiraishi, Maresuke. Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54180-6.

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Pettinari, Guido Walter Walter. The Intrinsic Bispectrum of the Cosmic Microwave Background. Springer, 2016.

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Pettinari, Guido Walter. The Intrinsic Bispectrum of the Cosmic Microwave Background. Springer, 2015.

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Liu, Zhenhua. Wave group statistics and bispectrum estimations of short random processes. 1993.

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Shiraishi, Maresuke. Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum. Springer, 2014.

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Probing The Early Universe With The Cmb Scalar Vector And Tensor Bispectrum. Springer, 2012.

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Chandran, Vinod. Two-dimensional bispectral analysis and leakage effects on the statistics of the bispectrum. 1990.

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Book chapters on the topic "Bispectrums"

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Al-Shoshan, Abdullah I. "Exploring the Evolutionary Bispectrum." In Advances in Intelligent Systems and Computing, 79–92. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39445-5_8.

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Davis, Richard A., Keh-Shin Lii, and Dimitris N. Politis. "Estimation of the Bispectrum." In Selected Works of Murray Rosenblatt, 214–30. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-8339-8_23.

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Piñeyro, J., and K. Behringer. "Bispectrum Estimation Using Overlapped Segments." In Noise and Nonlinear Phenomena in Nuclear Systems, 275–86. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4684-5613-4_23.

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Pettinari, Guido Walter. "The Intrinsic Bispectrum of the CMB." In The Intrinsic Bispectrum of the Cosmic Microwave Background, 197–233. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21882-3_6.

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Górriz, J. M., J. Ramírez, C. G. Puntonet, F. Theis, and E. W. Lang. "Bispectrum-Based Statistical Tests for VAD." In Lecture Notes in Computer Science, 541–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11550907_85.

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Zhang, Gui Cai, Jin Chen, Fucai Li, and Wei Hua Li. "Extracting Gear Fault Features Using Maximal Bispectrum." In Damage Assessment of Structures VI, 167–74. Stafa: Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-976-8.167.

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Shiraishi, Maresuke. "CMB Bispectrum Generated from Primordial Magnetic Fields." In Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum, 111–49. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54180-6_9.

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Wasekar, Nelson M., Chandrkant J. Gaikwad, and Manoj M. Dongre. "EEG Signal Analysis and Emotion Classification Using Bispectrum." In Computational Methods and Data Engineering, 385–95. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6876-3_29.

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Buscher, D. F. "Direct Maximum-Entropy Image Reconstruction from the Bispectrum." In Very High Angular Resolution Imaging, 91–93. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0880-5_10.

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Shiraishi, Maresuke. "Parity Violation of Gravitons in the CMB Bispectrum." In Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum, 89–109. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54180-6_8.

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Conference papers on the topic "Bispectrums"

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Park, Ik-Keun, Hyun-Mook Kim, and Kyung-Young Jhang. "Nondestructive Evaluation of Degraded 2.25Cr-1Mo Steel and Estimation of Nonlinear Acoustic Effect Using Bispectral Analysis." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1854.

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The nonlinear acoustic effect has been considered as an effective tool for the evaluation of material degradation. In this paper, the applicability of the nonlinear acoustic effect using bispectrum analysis to the evaluation of degraded 2.25Cr-1Mo steel is investigated. First, artificial aging was performed to simulate the microstructural degradation in 2.25Cr-1Mo steel arising from long time exposure at 538°C. Second, ultrasonic nonlinear parameter was quantitatively measured by bispectrum and power spectrum. The nonlinear acoustic parameter using bispectrum analysis was found to be clearly sensitive to material degradation.
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Lei, Yaguo, Ming J. Zuo, and Mohammad Hoseini. "Rotating Machinery Fault Detection Using EEMD and Bispectrum." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86794.

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Ensemble empirical mode decomposition (EEMD) was developed to alleviate the mode-mixing problem in empirical mode decomposition (EMD). With EEMD, the components with physical meaning can be extracted from the signal. The bispectrum, a third-order statistic, helps identify phase-coupling effects, which are useful for detecting faults in rotating machinery. Combining the advantages of EEMD and bispectrum, this paper proposes a new method for detecting such faults. First, the original vibration signals collected from rotating machinery are decomposed by EEMD and a set of intrinsic mode functions (IMFs) is produced. Then, the IMFs are reconstructed into new signals using the weighted reconstruction algorithm developed in this paper. Finally, the reconstructed signals are analyzed via the bispectrum to detect faults. Both simulation examples and gearbox experiments demonstrate that the proposed method can detect gear faults more clearly than can directly performing bispectrum analysis on the original vibration signals.
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Pan, Jun, Carlo Luciano Bianco, and She-Sheng Xue. "Rescaled bispectrum and the baryonic wiggles in bispectrum." In RELATIVISTIC ASTROPHYSICS: 4th Italian-Sino Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2836979.

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Elbhbah, Keri, and Jyoti K. Sinha. "Bispectrum: A Tool for Distinguishing Different Faults in Rotating Machine." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68010.

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The current state-of-the-art in vibration-based condition monitoring of rotating machines requires a number of vibration transducers at each bearing pedestal of a rotating machine to identify any faults, in the machine. In this paper, the use of the bispectrum has been proposed for fault diagnosis in rotating machines. The reason for this is that it may reduce the number of vibration transducers at each bearing pedestal in rotating machines in the future. The paper presents a comparison of the bispectrum results for four cases, namely; Healthy, Misaligned shaft, Crack Shaft and Shaft Rub on an experimental rig consisting of two rigidly coupled shafts supported through 4 ball bearings. Only one accelerometer has been used for this purpose at each bearing and the initial results observed are encouraging.
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Kakarala, Ramakrishna. "Bispectrum on finite groups." In ICASSP 2009 - 2009 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2009. http://dx.doi.org/10.1109/icassp.2009.4960328.

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Ewans, Kevin, Marios Christou, Suzana Ilic, and Philip Jonathan. "Identifying Higher-Order Interactions in Wave Time-Series." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95378.

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Abstract Reliable design and reanalysis of coastal and offshore structures requires, amongst other things, characterisation of extreme crest elevation corresponding to long return periods, and of the evolution of a wave in space and time conditional on an extreme crest. Extreme crests typically correspond to focussed wave events enhanced by wave-wave interactions of different orders. Higher-order spectral analysis can be used to identify wave-wave interactions in time-series of water surface elevation. The bispectrum and its normalised form (the bicoherence) have been reported by numerous authors as a means to characterise three-wave interactions in laboratory, field and simulation experiments. The bispectrum corresponds to a frequency-domain representation of the third order cumulant of the time-series, and can be thought of as an extension of the power spectrum (itself the frequency-domain representation of the second order cumulant). The power spectrum and bispectrum can both be expressed in terms of the Fourier transforms of the original time-series. The Fast Fourier transform (FFT) therefore provides an efficient means of estimation. However, there are a number of important practical considerations to ensuring reasonable estimation. To detect four-wave interactions, we need to consider the trispectrum and its normalised form (the tricoherence). The trispectrum corresponds to a frequency-domain (Fourier) representation of the fourth-order cumulant of the time-series. Four-wave interactions between Fourier components can involve interactions of the type where f1 + f2 + f3 = f4 and where f1 + f2 = f3 + f4, resulting in two definitions of the trispectrum, depending on which of the two interactions is of interest. We consider both definitions in this paper. Both definitions can be estimated using the FFT, but it’s estimation is considerably more challenging than estimation of the bispectrum. Again, there are important practicalities to bear in mind. In this work, we consider the key practical steps required to correctly estimate the trispectrum and tricoherence. We demonstrate the usefulness of the trispectrum and tricoherence for identifying wave-wave interactions in synthetic (based on combinations of sinusoids and on the HOS model) and measured wave time-series.
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Bondon, P., M. Benidir, and B. Picinbono. "Bispectrum modelling using quadratic filters." In [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1991. http://dx.doi.org/10.1109/icassp.1991.150114.

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Shaw, A. K. "Order recursive parametric bispectrum estimation." In [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1991. http://dx.doi.org/10.1109/icassp.1991.150209.

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Viunytskyi, Oleh, Alexander Totsky, Vyacheslav Shulgin, and Valery Sharonov. "Bispectrum-based gecture recognition technique." In 2018 IEEE 9th International Conference on Dependable Systems, Services and Technologies (DESSERT). IEEE, 2018. http://dx.doi.org/10.1109/dessert.2018.8409202.

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Naumenko, Victoria, Galina Proskura, Aleksander Totsky, and Valery Sharonov. "Branched Bispectrum-Based Encoding Technique." In 2018 International Scientific-Practical Conference Problems of Infocommunications. Science and Technology (PIC S&T). IEEE, 2018. http://dx.doi.org/10.1109/infocommst.2018.8632035.

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Reports on the topic "Bispectrums"

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Nikias, Chrysostomos L. Research on Bispectrum Estimation. Fort Belvoir, VA: Defense Technical Information Center, March 1988. http://dx.doi.org/10.21236/ada207889.

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Wolinsky, Murray A. Invitation to the Bispectrum. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada198411.

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Allison, Peter S. Bispectral Inversion: The Construction of a Time Series from Its Bispectrum. Fort Belvoir, VA: Defense Technical Information Center, April 1988. http://dx.doi.org/10.21236/ada202508.

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