Week of 10/29
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[http://mathworld.wolfram.com/SincFunction.html from Mathworld] and | [http://mathworld.wolfram.com/SincFunction.html from Mathworld] and | ||
[http://en.wikipedia.org/wiki/Sinc_function Wikipedia] | [http://en.wikipedia.org/wiki/Sinc_function Wikipedia] | ||
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+ | {{mathematica|filename=Spectral_interferometry.nb|title=Interfering gaussians}} | ||
Revision as of 15:57, 31 October 2007
Download FT, wavepackets, bandwidth ... |
A few examples of the importance of Gaussian distributions
Maxwell Boltzmann velocity distribution
It turns out that the FWHM is nontrivial: this link shows how to compute it
the answer turns out to be
The fundamental property of the delta function: you must remember this
if .
if
Remember, in the former case, you evaluate at the point where the argument of the delta function is zero. In this case when
Two nice links on Sinc functions: from Mathworld and Wikipedia
Download Interfering gaussians |
The following two figures are from Barbara Romanowicz, a seismologist at the University of California, Berkeley.
Download lecture notes from 10/31/07 |
very nice graphical illustration of the convolution
Download Creating a realistic time series by convolving a wavelet with a series of spikes |
Download Sinc function interpolation via the samping theorem |