Delaunay Triangulation covering of a Rossler Attractor (using MATLAB)
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This post discusses performing Delaunay triangulation on a Rossler Attractor system. Details are given in ee520-hw8.pdf.
Blog posts
2021
Linear Discriminant Analysis on images of cats and dogs and types of music (using MATLAB)
Published:
This post focuses on using an appropriate basis to decompose certain types of data (images and audio) as a preprocessing step to feature learning and classification. We select a reasonable basis based on prior knowledge of images and audio data and intuition, then transform the original datasets into this new space. After multiplying each data sample by the chosen basis, we attempt to find the features of the transformed dataset that are “most useful” for cluster analysis (in this case, linear discriminant analysis (LDA)). The basis selection is done to facilitate dimensionality reduction in the decomposed space. In this way, a single image or audio sample can be represented as a point in $N$-dimensional space, with the $N$ modes corresponding to the features with the most energy.
Details are given in ee520-hw3-A.
The answer to problem 2 is given separately, here.
Equation-free modeling of a chaotic (Euler) beam (using MATLAB)
Published:
This blog post will be an old homework assignment from the Data Analysis of Complex Systems course. The assignment focuses on modeling the dynamics of a perturbed beam. In this work, we not only generate a working simulation of the perturbed beam problem using MATLAB’s ordinary differential equation (ode) solvers , we also apply equation-free modeling. Details are given in ee520-hw5.pdf.
2019
Binary Phase Shift Keying (BPSK), On/Off Keying (OOK), and Quadrature Phase Shift Keying (QPSK)
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This post is a project from my Detection and Estimation course. The project is an analysis of the performance of three communication schemes in the presence of noise. The bit error rate is simulated with a monte-carlo simulation, for each scheme and at various SNR’s. The details can be found in ee526-project-2-mackkv.pdf.
Equation-free modeling of the n-body problem (using MATLAB)
Published:
This blog post will be an old homework assignment from the Data Analysis of Complex Systems course. The assignment focuses on the n-body problem in celestial mechanics. In this work, we not only generate a working simulation of the n-body problem using MATLAB’s ordinary differential equation (ode) solvers , we also apply equation-free modeling techniques to this system. Details are given in ee520-hw7.pdf.