Gabriel Katul, Karen Wesson, and Brani Vidakovic

Slides:

Advertisements

Similar presentations

Fourier Transform Periodicity of Fourier series

Advertisements

Large-eddy structure and low-dimensional modelling of canopy turbulence or, Desperately seeking Big Eddy John J. Finnigan 1 and Roger H. Shaw 2 1 CSIRO,

LARGE EDDY SIMULATION Chin-Hoh Moeng NCAR.

Shapelets Correlated with Surface Normals Produce Surfaces Peter Kovesi School of Computer Science & Software Engineering The University of Western Australia.

Lecture 7: Basis Functions & Fourier Series

1 Division of Atmospheric Sciences, Department of Physical Sciences, University of Helsinki, POBox 64, FIN-00014, Helsinki, Finland (e  mail:

Fourier Integrals For non-periodic applications (or a specialized Fourier series when the period of the function is infinite: L  ) L -L L  -L  - 

1 LES of Turbulent Flows: Lecture 4 (ME EN ) Prof. Rob Stoll Department of Mechanical Engineering University of Utah Spring 2011.

2003 International Congress of Refrigeration, Washington, D.C., August 17-22, 2003 CFD Modeling of Heat and Moisture Transfer on a 2-D Model of a Beef.

Tom Wilson, Department of Geology and Geography Environmental and Exploration Geophysics II tom.h.wilson

Toulouse May 2005 Corot-Week 8 δ Scuti and γ Dor stars in COROT Rafael Garrido IAA, Granada (Spain)

Reminder Fourier Basis: t  [0,1] nZnZ Fourier Series: Fourier Coefficient:

EECS 20 Chapter 10 Part 11 Fourier Transform In the last several chapters we Viewed periodic functions in terms of frequency components (Fourier series)

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

example: four masses on springs

0.1m 10 m 1 km Roughness Layer Surface Layer Planetary Boundary Layer Troposphere Stratosphere height The Atmospheric (or Planetary) Boundary Layer is.

ECE Spring 2010 Introduction to ECE 802 Selin Aviyente Associate Professor.

Dr. Xia Wang Assistant Professor Department of Mechanical Engineering Tel: Fax: Contact.

Reducing uncertainty in NEE estimates from flux measurements D. Hollinger, L. Mahrt, J. Sun, and G.G. Katul Ameriflux Meeting, Boulder CO., October 20,

In Engineering --- Designing a Pneumatic Pump Introduction System characterization Model development –Models 1, 2, 3, 4, 5 & 6 Model analysis –Time domain.

Hiromasa Nakayama*, Klara Jurcakova** and Haruyasu Nagai*

Iterated Denoising for Image Recovery Onur G. Guleryuz To see the animations and movies please use full-screen mode. Clicking on.

From Fourier Series to Fourier Transforms. Recall that where Now let T become large... and so ω becomes small... Fourier Transform of f(x) Inverse Fourier.

WAVELET (Article Presentation) by : Tilottama Goswami Sources:

A. Krawiecki , A. Sukiennicki

The Continuous - Time Fourier Transform (CTFT). Extending the CTFS The CTFS is a good analysis tool for systems with periodic excitation but the CTFS.

1 LES of Turbulent Flows: Lecture 2 Supplement (ME EN ) Prof. Rob Stoll Department of Mechanical Engineering University of Utah Fall 2014.

Part I: Image Transforms DIGITAL IMAGE PROCESSING.

Copyright © SEL 2012 A Comparison of Different Signal Selection Options and Signal Processing Techniques for Subsynchronous Resonance Detection Yu Xia,

LES of Turbulent Flows: Lecture 2 (ME EN )

Heat Transfer/Heat Exchanger How is the heat transfer? Mechanism of Convection Applications. Mean fluid Velocity and Boundary and their effect on the rate.

COMPARING NOISE REMOVAL IN THE WAVELET AND FOURIER DOMAINS Dr. Robert Barsanti SSST March 2011, Auburn University.

Jan. 20, 2011 B4730/5730 Plant Physiological Ecology Biotic and Abiotic Environments.

Lecture 17 - Approximation Methods CVEN 302 July 17, 2002.

Tatiana Yu. Alekhina and Andrey V. Tyukhtin Physical Faculty of St. Petersburg State University, St. Petersburg, Russia Radiation of a Charge in a Waveguide.

Motivation for the Laplace Transform

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.6 Complex Zeros; Fundamental Theorem of Algebra.

Section 4.6 Complex Zeros; Fundamental Theorem of Algebra.

Fourier and Wavelet Transformations Michael J. Watts

Paula Agudelo Turbulence, Intermittency and Chaos in High-Resolution Data, Collected At The Amazon Forest.

Detection of Intermittent Turbulence In Stable Boundary Layer Using Empirical Mode Decomposition Xiaoning Gilliam, Christina Ho, and Sukanta Basu Texas.

Atm S 547 Lecture 1, Slide 1 The Atmospheric Boundary Layer (ABL or PBL) The layer of fluid directly above the Earth’s surface in which significant fluxes.

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

Environmental and Exploration Geophysics II tom.h.wilson

Long Range Transport Mechanism. Vertically distributes pollutants Horizontally Spreads pollutants Horizontally redistributes pollutants Regional Scale.

Jeopardy Heading1Heading2Heading3Heading4 Heading5 Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Lecture 7: Basis Functions & Fourier Series

Visible Watermarking of An Image Using DCT Technique

Notes Over 3.4 The Rational Zero Test

Fundamental Theorem of Algebra

Fourier Analyses Time series Sampling interval Total period

Fourier and Wavelet Transformations

Image Denoising in the Wavelet Domain Using Wiener Filtering

Measures of Complexity

Fundamental Theorem of Algebra

Outline Linear Shift-invariant system Linear filters

Fourier Transform and Data Compression

Fourier Integrals For non-periodic applications (or a specialized Fourier series when the period of the function is infinite: L) -L L -L- L

Image De-blurring Defying logic

Fourier Analyses Time series Sampling interval Total period

Large Eddy Simulations of Entrainment and Inversion Structure

I. Previously on IET.

Windowed Fourier Transform

Fundamental Theorem of Algebra

Discrete Fourier Transform

Discrete Fourier Transform

TRIPLET MEASUREMENTS OF DIRECTIONAL WAVE SPECTRA

Digital Image Procesing Unitary Transforms Discrete Fourier Trasform (DFT) in Image Processing DR TANIA STATHAKI READER (ASSOCIATE PROFFESOR) IN SIGNAL.

Fundamental Theorem of Algebra

Presentation transcript:

Gabriel Katul, Karen Wesson, and Brani Vidakovic Quantifying Organization in Time Series: Applications in Atmospheric Turbulence Gabriel Katul, Karen Wesson, and Brani Vidakovic

Surface Layer and Canopy Turbulence Canopy Sublayer Surface Layer

Surface Layer and Canopy Sublayer Blending Region 2h Canopy Sublayer h

Degree of Organization

Degree of Organization THE FLOW FIELD IS A SUPERPOSITION OF THREE CANONICAL STRUCTURES Mixing Layer d Displaced wall Real wall REGION I REGION II REGION III Boundary Layer

Techniques:

Shannon Entropy:

Wavelet Thresholding: Wavelets disbalance geophysical data because they concentrate most of the energy in few coefficients. The process of setting the amplitude of wavelet coefficients to zero when a certain threshold is exceeded is known as thresholding. The number of coefficients remaining after thresholding measures degree of organization associated with energetic events

Threshold Criterion: Frequency or Fourier Domain Wavelet Domain Time

Thresholding and Variance Recovery

Threshold Selection

Wavelet Papers - since 1990 (from Addison, 2002)

Time-Frequency local transform

Can reduce the effects of gaps on transformation

Forward Transform: Time to Wavelet Inverse Transform: Wavelet to time

Mutual Information:

Mutual Information:

Canopy Sublayer Experiments

Shannon Entropy Results:

Wavelet Thresholding Results

Mutual Information Results

Conclusions: Tools from nonlinear time series permit identification of organization using “scalar measures”. In this case study, we showed that the CSL eddy motion is more organized than the ASL eddy motion. That is, it is more amenable to a low-dimensional model. For some systems, complexity, entropy, organization, and predictability are connected.