Changes between Version 4 and Version 5 of u/erica/CF_spectra

Timestamp:

01/05/15 13:07:55 (10 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/CF_spectra

@@ -23 +23 @@
 || 30 || (28, 26, 26) || 
 || 60 || (58, 26, 26) ||
+
+== Power Spectrum == 
+
+To get a power spectrum, one takes a fourier transform of the data, and then takes the complex conjugate of the resultant fourier transform. This gives the power in each of the component frequencies of the signal.  
+
+
+== Kinetic Energy == 
+
+There seems then to be 2 different ways of computing the power spectrum of the kinetic energy. First, we can take the fourier transform of [[latex($ \sqrt{\rho (v_x + v_y + v_z)^2}$)]] and then square this to get the power spectrum. Or, we can take [[latex($\sqrt{\rho v_x^2}$)]] and then sum up the squares of the various fourier transforms for each dimension.