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Inversion, Signal Processing, and Image

Course Code

FI4161

Number of Credits

2

Semester

Course Type

Study Material

Study MaterialDepth
Earth's physical system modeling conceptExpert
Future modeling of gravity fields, magnetic fields, E.M. fields, seismic travel timeExpert
Inversion basis, inversion regulation, inversion with Conjugate Gradient, Inversion with Steepest DescentExpert
Least Squares Inversion, Damped Least Squares InversionExpert
Vectors and matrices, Arrays, Cells and structures, Matrix operationsExpert
Signal and system concepts, Discrete Time Signals and Sampling, Sampling theorem, Spectral representation, Random Signals, Random phenomena in signal processingExpert
Fast Fourier Transform, Spectral accuracy and resolutionExpert
Short Term Fourier Transform, application examples, for example noise removal in sound signalsExpert
The z-transform, Transforms and linear filtering, Difference equations and rational TF filtersExpert
Connection between gain and polish/zero, Minimum phase filters, Filter design methodsExpert
Correlation, Convolution, Deconvolution, Wiener FilterExpert
Demultiple filtering and Surface Related Multiple Attenuation in Marine Seismic DataExpert
Wavelet Transform, theory, operation and types (Mexican Hat, Ricker Wavelet, etc.). STFT vs Wavelet transformExpert
F-K filter, Kalman FilterExpert
2-D FFT and IFFT for noise and diffraction removalExpert
2-D Wavelet TransformExpert
Geometric transformations of images, and other image operations. JPEG lossy compression, Watermarking, Blurring or Smoothing, Sharpening or Enhancing edges and details, Convolution: Applying filters (e.g., Gaussian, Sobel) to modify pixel values, HalftoningExpert

Graduate Learning Outcomes (GLO) carried by the course

CPMK CodeCourse Learning Outcomes Elements (CLO)
CPMK 1Able to use inversion techniques for various applications

Learning Method

  • Lectures, group discussions

Learning Modality

  • Synchronous offline, asynchronous mixed/online

Assessment Methods

  • Midterm Exam, Final Exam, Assignments, and Quizzes