Cross-spectral Analysis

Slides:

Advertisements

Similar presentations

DCSP-13 Jianfeng Feng Department of Computer Science Warwick Univ., UK

Advertisements

Environmental Data Analysis with MatLab Lecture 15: Factor Analysis.

Environmental Data Analysis with MatLab Lecture 8: Solving Generalized Least Squares Problems.

Tidal Rectification = Overtides and compound tides Nonlinear effects on tides.

Environmental Data Analysis with MatLab

Fourier series With coefficients:. Complex Fourier series Fourier transform (transforms series from time to frequency domain) Discrete Fourier transform.

1/03/09 De 89 à 98. 1/03/09 De 89 à 98 1/03/09 De 89 à 98.

Rotary Spectra Separate vector time series (e.g., current or wind data) into clockwise and counter-clockwise rotating circular components. Instead of having.

Environmental Data Analysis with MatLab Lecture 12: Power Spectral Density.

Environmental Data Analysis with MatLab Lecture 17: Covariance and Autocorrelation.

2.4 Linear Decomposition of Irregular Waves Purposes of Wave Decomposition: 1)Calculating one resultant wave property based on the records of different.

Statistical analysis and modeling of neural data Lecture 6 Bijan Pesaran 24 Sept, 2007.

Chapter 6 Frequency Response. motivgeschichte/altaere/frame-menue.htm Hieronymus Bosch Garden of Delights.

Correlation Correlation of g(t) with f(t):  -  g(t)h(t+  ) d  which is the Fourier transform of  G(f * )H(f)  Closely related to the convolution.

Orthogonal Transforms

Correlation and spectral analysis Objective: –investigation of correlation structure of time series –identification of major harmonic components in time.

Goals For This Class Quickly review of the main results from last class Convolution and Cross-correlation Discrete Fourier Analysis: Important Considerations.

Chemistry 330 The Mathematics Behind Quantum Mechanics.

Cross-spectral Analysis Investigates the dependence or relationship between two time series. Begin by reviewing cross-correlation function – how similar.

Vibrationdata 1 Unit 17 SDOF Response to Applied Force Revision A.

EE484: Probability and Introduction to Random Processes Autocorrelation and the Power Spectrum By: Jason Cho

Chapter 4: Image Enhancement in the Frequency Domain Chapter 4: Image Enhancement in the Frequency Domain.

Cross-spectra analysis of mid-tropospheric thermodynamical variables during Southern Africa biomass season. Yemi Adebiyi MPO 524.

Autocorrelation correlations between samples within a single time series.

Spectral analysis of multiple timeseries Kenneth D. Harris 18/2/15.

EE104: Lecture 5 Outline Review of Last Lecture Introduction to Fourier Transforms Fourier Transform from Fourier Series Fourier Transform Pair and Signal.

LES of Turbulent Flows: Lecture 2 (ME EN )

11/20/2015 Fourier Series Chapter /20/2015 Fourier Series Chapter 6 2.

Signals and Systems Using MATLAB Luis F. Chaparro

1“Principles & Applications of SAR” Instructor: Franz Meyer © 2009, University of Alaska ALL RIGHTS RESERVED Dr. Franz J Meyer Earth & Planetary Remote.

Lecture 7 Two-dimensional NMR F2 F1 (  x,  X ) Diagonal (  A,  A ) (  A,  X ) Cross-peak (  X,  A )

Wavelet Spectral Analysis Ken Nowak 7 December 2010.

Linear Filters. denote a bivariate time series with zero mean. Let.

Objects localization and recognition

Multivariate Time Series Analysis

The relationship between sea level and bottom pressure in an eddy permitting ocean model Rory Bingham and Chris Hughes Proudman Oceanographic Laboratory.

Geology 6600/7600 Signal Analysis 15 Oct 2015 © A.R. Lowry 2015 Last time(s): PSE The Kirby approach to wavelet transformation (the fan wavelet) preserves.

The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory.

Coherence spectrum (coherency squared)  = 0.1, 0.05, 0.01 X is the Fourier Transform Cross-spectral power density Confidence level: = running mean or.

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

The Frequency Domain Digital Image Processing – Chapter 8.

。 33 投资环境 3 开阔视野提升竞争力。 3 嘉峪关市概况。 3 。 3 嘉峪关是一座新兴的工业旅游城市，因关得名，因企设市，是长城文化与丝路文化交汇点，是全国唯一一座以长城关隘命名的城市。嘉峪关关城位于祁连山、黑山之间。 1965 年建市，下辖雄关区、镜铁区、长城区，全市总面积 2935.

Dr S D AL_SHAMMA Dr S D AL_SHAMMA11.

Biomathematics seminar Application of Fourier to Bioinformatics Girolamo Giudice.

Convergence of Fourier series It is known that a periodic signal x(t) has a Fourier series representation if it satisfies the following Dirichlet conditions:

Fourier series With coefficients:.

Correlators ( Backend System )

SDOF Response to Applied Force Revision A

Canaveral II swale west

Spectral Analysis.

Rotary Spectra Separate vector time series (e.g., current or wind data) into clockwise and counter-clockwise rotating circular components. Instead of having.

Tree Rings vs. Annual Precipitation

Environmental Data Analysis with MatLab

The Cross Product.

Digital Image Processing

Multivariate Time Series Analysis

Matrix Algebra and Random Vectors

Coherence spectrum (coherency squared)

Is global warming deoxygenating the ocean?

Ашық сабақ 7 сынып Файлдар мен қапшықтар Сабақтың тақырыбы:

Natalie Laudier Operational Oceanography 13Feb2009

Windows басқару элементтері

Motion estimated frame interpolation

Correlation, Energy Spectral Density and Power Spectral Density

by ENS William C. Blodgett, Jr. 22MAR02

Ken Creager, Wendy McClausland and Steve Malone

Қош келдіңіздер!.

Информатика пән мұғалімі : Аитова Карима.

Ch.1 Basic Descriptions and Properties

Presentation transcript:

Cross-spectral Analysis Investigates the dependence or relationship between two time series. Begin by reviewing cross-correlation function – how similar two time series x , y are L = lag N = # of elements in time series Covariance or cross-covariance Cross-correlation -1 < ψxy < 1

Ensenada de la Paz

Current velocity in Ensenada de La Paz Year Day

Current velocity and water level (red) in Ensenada de La Paz Year Day

Current velocity and water level (red) in Ensenada de La Paz Year Day

Cross-correlation between current velocity and water level in Ensenada de La Paz

Cross-correlation between current velocity and water level in Ensenada de La Paz

A generalization of: Complex Cross-correlation * is the complex conjugate

Complex Cross-correlation between vectors at 2 depths in Ensenada de La Paz  w1w2 L

Complex Cross-correlation between vectors at 2 depths in Ensenada de La Paz

Complex Cross-correlation between vectors at 2 depths in Ensenada de La Paz

Coherence spectrum (squared coherency or coherence-squared function) X is the Fourier Transform < > = running mean  = 0.1, 0.05, 0.01

Current velocity and water level (red) in Ensenada de La Paz Year Day

Coherence squared window size= 2 cpd  = 0.1, 0.05, 0.01

 = 0.1, 0.05, 0.01 window size= 25

JAMES RIVER DATA

99% Coherence 2 95% Window size= 10 Phase (deg)

Coherence 2 99% 95% Window size= 24 Phase (deg)

99% Coherence 2 95% Window size= 10 Phase (deg)

99% Coherence 2 95% Window size= 10 Phase (deg)

Coherence 2 99% 95% Window size= 24 Phase (deg)

Coherence 2 99% 95% Window size= 24 Phase (deg)