Class: TR 1300 - 1430, Ocean Lab 206

Instructor: Dr. James T. Kirby
Ocean Engineering Laboratory 205
831-2438
kirby@udel.edu

Text: Newland, D. E., "An Introduction to random vibrations, spectral and wavelet analysis", Longman Scientific. Plus additional class notes and handouts.

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.

• 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.
• Application: Pressure-surface Conversion.
• Application: Calculation of Reflection.
• Application: Hilbert Transforms, Envelopes and Side-band Instabilities.
• Application: Bispectral Analysis of Nonlinear Waves.
• Application: Directional Spectrum Estimates from Array Measurements.
• (time permitting) Wavelet Transforms.
• (time permitting) Principal Component Analysis.

Grading: The semester grade will be based on assigned homeworks together with a term project and report.