Class: MW 1000 - 1130, Ocean Engineering Lab 206

Instructor: Dr. James T. Kirby
Ocean Engineering Laboratory 201
831-2438
kirby@udel.edu

Text: No specific text required. A draft text for the course is available to registered students by download here. You need to be a registered user to reach this material. Please register here. A list of recommended references will be provided, along with handouts on particular topics.

Course notes and additional program sources and data files are also available online.

The goal of this course is to aquaint the student with the theoretical and practical issues involved in doing univariate and multivariate spectral analysis of signals obtained in oceanographic contexts. Additional topics include bispectral analysis, directional spectral estimates from array measurements, and introductions to wavelet transforms and principal component analysis. In a departure from past practice in the course, I am going to attempt to emphasize a "problem based learning" approach in the course. I plan at this point on presenting much of the basic theory in a lecture format, but I will switch to the PBL format to cover much of the application material in the course.

• Quick review of statistical measures.
• Fourier Series and Integrals, Discrete and Continuous Fourier Transforms.
• Fast Fourier Transform, Nonparametric Spectral Estimation, Confidence Intervals
• Statistics of narrow-banded seas. Wave groups.
• Hilbert Transforms, Envelopes and Side-band Instabilities.
• Bispectral Analysis of Nonlinear Waves.
• Directional Spectrum Estimates from Array Measurements.
• (time permitting) Wavelet Transforms.
• (time permitting) Principal Component Analysis.

Grading: The semester grade will be based on:

• individually assigned homeworks, covering material that each student definitely needs to understand the mechanics of.
• PBL-style presentation of study questions by working groups.
• A project report, probably based on work performed by the PBL working groups.