AOSC 652: Analysis Methods in Atmospheric and Oceanic Science

Week 9: 24, 26, and 28 Oct 2016

Fourier Series and Spectral Analysis

Classroom presentation:

AOSC652_2016_1024.pdf   Video

AOSC652_2016_1026.pdf   AOSC652_2016_1026_python.pdf  AOSC652_2016_1026_idl.pdf   Video A   Video B

AOSC652_2016_1028_python.pdf   AOSC652_2016_1028_idl.pdf   Video A   Video B


For Monday:

Pages 47 to 53 of Ice Ages and Astronomical Causes by Richard A. Muller and Gordon J. MacDonald

Sections 8.1, Chapter 8 (Fourier Analysis), on line Matlab book by Prof. Cleve Moler

Section 12.0 of Press et al.: f12-0.pdf

For Wednesday:

Pages 63 to 73 of Ice Ages and Astronomical Causes by Richard A. Muller and Gordon J. MacDonald

Python: Chapter 18 of DeCaria

IDL: Chapter 25 of Bowman

For Friday:

Petit et al., Climate and atmospheric history of the past 420,000 years from the Vostok ice core, Antarctica, Nature, 1999

Please read section 12.1 of Press et al.: f12-1.pdf and have a glance at section 12.2: f12-2.pdf


AOSC652_2016_assign_09a.pdf  (due at start of class Wednesday, 26 Oct)

AOSC652_2016_assign_09b.pdf  (due at start of class Monday, 31 Oct)

Historical Material that could be of interest:

Computing Fourier Series and Power Spectrum with MATLAB by Brian D. Storey,

Franklin W. Olin College of Engineering


Historical Notes on the Fast Fourier Transform by James W. Cooley et al., IEEE, 1967


The Cooley-Tukey Fast Fourier Transform Algorithm (with FORTRAN code) by C. Sidney Burrus, Rice University

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