Signal Processing for the Earth Sciences

CERI 7106-8106

Fall 2017

MWF 9:10-10:05 EQ1 110 (3876 Central Classroom)

Instructor: Mitch Withers, mwithers@memphis.edu, x4940, 3892 Central room 112. Office Hours: As needed M-F 7-3.

Description: Fundamentals of digital processing of geophysical data, both purely mathematical and applied aspects with attention to digital seismograms and potential field data. This class will introduce concepts on linear systems in the time and frequency domains and the relationships between and manipulation within these domains. We will shed light on "black boxes" so that the limitations and advantages of signal processing tools are appreciated and so that they can be used properly and conclusions drawn appropriately. The course assumes a working knowledge of integral transforms and MATLAB.

TextBook: The class will depend primarily on notes and background material provided by Rick Aster at Colorado State. Originals are available at http://www.ees.nmt.edu/Geop/Classes/GEOP505.html. Additional notes on various topics may also be taken from other sources including but not limited to "The Fast Fourier Transform and its Applications" by E. Oran Brigham, Prentice Hall 1988, "The Fourier Transform and Its Applications" by Ronald N. Bracewell, McGraw Hill 1986, and "Of Poles and Zeros: Fundamentals of Digital Seismology (Modern Approaches in Geophysics)" by Frank Scherbaum, Kluwer Academic Publishers, 2001.

Evaluation: determined by 70% homework, 25% final project, and 5% punctuality
and participation. Students are strongly encouraged to work together and
consult resources outside the class. But your work must still be your own.
**No credit will be granted for late homework.** Only written protests of
homeworks scores will be considered.

Final Project: There is no final exam for this class. Instead, all students are expected to produce a final project. The project will focus on the signal processing aspects of a scientific problem chosen by the students. Abstracts describing the project are due in November as specified by the schedule distributed on the first day of class. A 5-10 page written final project report is required of M.S. students and a 10-15 page written final project report is required for Ph.D. students. Additionally, Ph.D. students will give a brief 15 minute oral presentation on their project during the final week of class.

Students are strongly encouraged to work together and consult resources outside the class. But your work must still be your own. Plagiarism will be severely penalized. Be certain to reference where appropriate in your final report.

Please do not be intimidated by the notes. We'll be learning this together. The schedule is a goal that is worthy of meeting but it can be modified. It is far more important to understand.

Notes will be distributed in hard copy during class. Please, save a tree and don't print them yourself.

**Schedule**

08/28 Welcome and review of complex arithmetic

08/30 Linear Systems in the time domain

09/01 Linear Systems in the time domain

09/04 Labor Day, no classes

09/06 Linear Systems in the time domain; HW 1 distributed

09/08 Linear Systems in the frequency domain

09/11 Linear Systems in the frequency domain

09/13 Linear Systems in the frequency domain

09/15 Linear Systems in the frequency domain

09/18 Linear Systems in the frequency domain

09/20 Linear Systems in the frequency domain

09/22 Pole Zero Potpourri; **HW 1 due**; HW 2 distributed (requires
xtruedisp.ascii)

09/25 Power Spectra

09/27 Power Spectra

09/29 Sampled Time Series

10/02 Sampled Time Series

10/04 Sampled Time Series

10/06 Sampled Time Series

10/09 Sampled Time Series

10/11 Sampled Time Series

10/13 Deconvolution **HW 2 due**; HW 3 distributed (requires
mysteryseries.ascii)

10/16 Fall Break

10/18 No Class

10/20 No Class

10/23 Deconvolution

10/25 FIR Filters

10/27 CERI Retreat, no class

10/30 FIR FIlters

11/01 Laplace Transform

11/03 Laplace Transform

11/06 Laplace Transform

11/08 Z-Transform **HW 3 due**; HW 4 distributed

11/10 Z-Transform

11/13 Colored Noise

11/15 IIR Filters

11/17 IIR Filters

11/20 IIR Filters (Abstracts Due)

11/22 Thanksgiving Holiday

11/24 Thanksgiving Holiday

11/27 Image processing

11/29 Hankel Transform; **HW 4 due**

12/01 FK filters

12/04 Hilbert Transform

12/06 Gravitational Waves

12/08 Final Exam 10:30-12:30: Student Presentations and Final Projects written
reports due at 10:30AM CST

Titles of previous final projects.

**Fall 2016**

Artificial Neural Networks for Time Series Prediction. Elizabeth Gilmore.

Improving Automatic Phase Picking with th Kalman Filter. Peter Matheny.

Early Earthquake Warning using Metaheuristic methods. Hamed Abshari.

Polarization Analysis of Body Wave Phases. Oluwaseyi Bolarinwa.

Application of Wavelet Transform in Signal Processing. Ali Farhadi.

Effect of parameter selection in Butterworth and Chebyshev filters on the ground motion intensity measures and the structural response. Jalal Kiani.

Image Processing Using Points Operation. Hao Lu.

Signal Enhanced by Spectral Whitening. Yixin Zhang.

Application of Signal Processing in Earthquake Engineering. Nima Nazemi.

Creating An F-K Filter to Analyze GPR Data. Trevor Satterfield.

Research on three-dimensional Goussev Filter and the Applications in Geophysical Data Processing. Yu Geng.

Comparison of the Empirical Green's Functions Calculated by Ambient Noise and the Frequency-wavenumber Method. Jia Zhang.

S-transform and its Applications in Seismic Data Analysis. Eric Jambo.

Applications of Laplace Transform Solutions in Groundwater Flow. Chloe Glover.

Transformations on Non-stationary Signals. Arushi Saxena.

Wavelet Transform and Its Applicatoin in Automatic P-phase picking. Aluwaseun Fadugba.

No Title. Khurram Aslam.

Enhancing an image with a high pass filtering approach. Arash Yarahmadi.

Effect of windowing on spectral leakage. Urbi Basu.

Applications of Signal Processing in the Structural Health Monitoring. Farhad Sedaghati.

The Wavelet Transform for Seismic Image Processing. Chunyu Li.

A Closer Look into the Design of IIR Filters. David Tovar.

Autocorrelation and its Applications. Shima Azizzadehroodpish.

From Randon Polygon to Ellipse: A Fourier analysis View. Explanation of a phenomena in a paper by Elmachtoub and Van Loan from a Fourier perspective instead of an eigenanalysis. Yang Yang.

Signal Processing and post-processing methods in dynamic identification of bridges. Sepehr Movaghati.

Untitled. Alireza Haji Soltani.

Assessment of application of different filter with different parameters on Goodness of fit in synthetic seismogram with real data. Naeem Khoshnevis.

Fourier analysis of 2D heat diffusion equation, compare with numerical method. Md Sabber Ahamed.

Decoding the WWV IRIG-B Time Code Signal. Demian Gomez.

Baseline corrections by polynomial fitting for several recordings of the 1999 Chi-Chi, Taiwan Earthquake. Xiaochuan Tian.

Determining Frequency Dependent Lg Q and Applying Butterworth Filtering. Mostafa Mousavi

Wiener Filter and Its Application. Monsurul Huda

Determination of Spectral Accelerations form Waveforms for the ENA East NGA flat-files. Luke Philip Ogweno

Applications of the Z-Transform. Matt Cooley

Application of Window method of FIR Filter in Noise-Signals. Mahesh Singh Dhar

Determination of Frequency Content and Filtration of ULF Emissions in Magnetotelluric signals During the 9.1Mw Tohoku-Oki Earthquake. Ryan Christianson

FK Analysis of the NVT Array in Morring, TN. Blaine Bockholt

Applying the Laplace Transform to the Burridge-Knopoff Model of Seismicity to obtain the Transfer Function. Wes Foster

An Analysis of the z-Domain. Cecilia Nyamwandha

Hilbert Transform and Ring Lasers. John Meredith

Using a FIR filter on Seismograms. Sara Kelemencky

Processing Broadband Strong Motion Data with Matlab. Md Nayeem Al Noman

Wavelet Packe3t Transform vs. Fourier and wavelet transforms. Alireza Shahjouei

Untitled. Mehrdad Hosseini

Filter Design and Application of Frequency ratio method in attenuation studies. Chigozie Obikili

Laplace Transform and Its Application in Seismology. Mahari Ayele

Determining the Location of Iron Mine by Using Magnetic Inverse Modeling Method. Mehmet Onur Mataracioglu

Untitled. Guo Lei

Introduction to S-transform and its application. Shishay Bisrat

Slowness-Frequency (p-f) Image from Refraction Data, Utilizing Shift Theorem of Fourier Transform. Donny Dangkua

Synthetic Seismometer Calibration: The L28 Mark Product Geophone. Paul Ogwari

A Fun Foray into the Fundamentals of Frequency Filters: Featuring Matlab Facilitating in their Formulation. Michael Towle

Horizontal Orientation of Ocean Bottom Seismometers of the Nicoya Seismic Array. Melissa Driskell

A Brief Introduction to the Wavelet Transform. Steve Malone

Rotation and Correlation of an Unkown Orientated Borehole Seismometer with a Known Orientated Surface Seismometer. Leah Mitchell

Introduction to Fourier Analysis. Solomon Ayele

An Introduction to Wavelet Analysis. Arash Zandieh

Dispersion Curve Using Spectral Analysis of Surface Waves (SASW) for Shelby Farms, Memphis, Tennessee. Ali Shahbazian

Random Processes. Jerry Kutliroff

On Waveform Cross-correlation of Array Data for Determining Source and Velocity Information. Buck Grant

Automatic Phase Picking for Local Earthquakes. Biniam Asmerom

Untitled. Greg Johnson

The Hilbert Transform. Jose Rodriguez

Waveform Cross Correlation. Meredith Dunn

Signal Processing of Magnetotellurics (What Do the Black Boxes Do?). Leonard Jamerson

Dispersion Curves for the Garner Valley Test Site Experiment on the Demonstration of Nonlinearity. Yvonne Paisant

Instrument Resonse in Vault Compared to the Surface. Danya Pase

Using Power Spectral Density And Cross-Correlation to Determine the Source of a Mystery Signal. Allison Shumway

Single Degree of Freedom Ground Response Analysis. Scott Stovall

The url of this page is http://www.ceri.memphis.edu/people/mwithers/ESCI7602/