Nonlinear functional analysis | Spectral theory

Multi-spectral phase coherence

Multi-spectral phase coherence (MSPC) is a generalized cross-frequency coupling metric introduced by Yang and colleagues in 2016. MSPC can be used to quantify nonlinear phase coupling between a set of base frequencies and their harmonic/intermodulation frequencies. MSPC is a model-free method, which can provide a system description, including (i) the order of the nonlinearity, (ii) the direction of interaction, (iii) the time delay in the system, and both (iv) harmonic and (v) intermodulation coupling. The MSPC is defined as: where is the phase at frequency , is the weight of to a harmonic/intermodulation frequency ), and represents the average over realizations. Bi-phase locking value, also called bi-phase coherence in the literature, is a special case of MSPC when , The time-delay can be estimated from the phase lag when MSPC is computed between signals. (Wikipedia).

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Estimation of Coherence and Cross Spectra

http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Averaging approaches for estimating coherence and cross spectra, analogous to Welch's averaged periodogram estimator of the power spectrum.

From playlist Estimation and Detection Theory

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Coherence and the Cross Spectrum

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Coherence and the cross spectrum describe the relationship between two random signals in the frequency domain based on their second order statistics

From playlist Random Signal Characterization

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Mixture Models 4: multivariate Gaussians

Full lecture: http://bit.ly/EM-alg We generalise the equations for the case of a multivariate Gaussians. The main difference from the previous video (part 2) is that instead of a scalar variance we now estimate a covariance matrix, using the same posteriors as before.

From playlist Mixture Models

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Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of

From playlist COVARIANCE AND VARIANCE

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Coherence of waves with random sources

Today's video was made in collaboration with HuygensOptics ( https://www.youtube.com/@HuygensOptics ), who is currently running a series of videos on spatial coherence. Part 1 has been published here: https://youtu.be/dtcq5b0R65w and part 2, to which this simulation relates, can be found h

From playlist Wave equation

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D2I - Synthetic Aperture Radar Interferormetry for 3D Modeling

Adobe Connect video talk given by Maryam Rahnemoonfar on Synthetic Aperture Radar Interferormetry for 3D Modeling This talk was sponsored by the Data to Insight Center Seminar Series http://d2i.indiana.edu/ Current D2I Seminar Series Schedule - http://d2i.indiana.edu/events/ Data to Ins

From playlist Data to Insight Center (D2I)

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HEDS | Relativistic plasma mirrors for high-power ultrashort pulses from UV to soft x-ray

HEDS Seminar Series- Julia Mikhailova – June 3rd, 2021 LLNL-VIDEO-835546

From playlist High Energy Density Science Seminar Series

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Lisa Glaser: A picture of a spectral triple

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: A compact manifold can be described through a spectral triple, consisting of a Hilbert space H, an algebra of functions A and a Dirac operator D. But what if we are g

From playlist Noncommutative geometry meets topological recursion 2021

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Solving a multi-step equation with fractions and variable on both sides

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist How to Solve Multi Step Equations with Variables on Both Sides

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Advances in Quantum Spectral Estimation - L. Viola - PRACQSYS 2018 - CEB T2 2018

Lorenza Viola (Department of Physics and Astronomy, Dartmouth College, Hanover, USA) / 03.07.2018 Advances in Quantum Spectral Estimation Accurately characterizing the spectral properties of environmental noise in open quantum systems is both a prerequisite for quantitative modeling and

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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Solving an equation with fraction where your variable is on both sides

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist How to Solve Multi Step Equations with Variables on Both Sides

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Bireflections (Geometric Algebra 1.3)

In the third video of the series we need to have a chat about reflections. They are the atoms of transformations: a single reflection is a discrete transformation of space, but the product of two reflections is a continuous transformation. When the two reflections intersect they generate a

From playlist Bivector.net

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Some Aspects of Space Fractional Quantum Mechanics by Bhabani Prasad Mandal

PROGRAM NON-HERMITIAN PHYSICS - PHHQP XVIII DATE :04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Qua

From playlist Non-Hermitian Physics - PHHQP XVIII

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Yukio Takahashi - Recent progress in coherent diffraction imaging at SPring-8 - IPAM at UCLA

Recorded 12 October 2022. Yukio Takahashi of Tohoku University presents "Recent progress in coherent diffraction imaging at SPring-8" at IPAM's Diffractive Imaging with Phase Retrieval Workshop. Abstract: Coherent diffraction imaging (CDI) is a powerful method for visualizing the structure

From playlist 2022 Diffractive Imaging with Phase Retrieval - - Computational Microscopy

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Correlations and entanglement of microwave photons emitted in a cascade decay by Simone Gasparinetti

Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q

From playlist Open Quantum Systems

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Solving a multi-step equation by multiplying by the denominator

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist How to Solve Multi Step Equations with Variables on Both Sides

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GRCon19 - Multichannel phase coherent transceiver system with GNU Radio... by Michael Hennerich

Multichannel phase coherent transceiver system with GNU Radio interface by Michael Hennerich Many applications need multiple channels of phase and frequency synchronization and coherency. Applications like Direction of Arrival (DOA) accuracy are directly related to the number of channels

From playlist GRCon 2019

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Limits on spectral resolution measurements by (...) - A. Retzker - PRACQSYS 2018 - CEB T2 2018

Alex Retzker (D Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel) / 04.07.2018 Limits on spectral resolution measurements by quantum probes for nano NMR The limits of frequency resolution in nano NMR experiments have been discussed extensively in recent years

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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How to solve multi step equations with fractional coefficients

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist How to Solve Multi Step Equations with Variables on Both Sides

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Frequency-ranked data-driven stochastic modelling... - Chekroun - Workshop 2 - CEB T3 2019

Chekroun (UCLA, USA) / 13.11.2019 Frequency - ranked data - driven stochastic modelling, and applications ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ T

From playlist 2019 - T3 - The Mathematics of Climate and the Environment

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Realization (systems)