Computer session on measurement and analysis of waves and turbulence
6th COSPAR Capacity Building Workshop 
Sinaia, Romania, June 4-16, 2007
3: Singular value decomposition method
Multicomponent wave measurements can be analyzed using the singular value decomposition (SVD) technique.
The input data are components of a Hermitian spectral matrix obtained using multidimensional spectral
analysis. The technique can be used to calculate direction of the three axes of the polarization
ellipsoid and their lengths.
Instructions:
- Download the following IDL procedures:
- Read the comments and try to understand the code (the above sequence of files is recommended)
- Run the procedure mag_svd.pro using the spectral matrix data read by read_sm.pro
and check the result.
- Re-run the program using different spectral matrices in the data set.
You may also want to use the results of the programming assignment #5.
Reading:
Paper
Santolik, O., M. Parrot, and F. Lefeuvre,
Singular value decomposition methods for wave propagation analysis,
Radio. Sci. 38(1), 1010, doi:10.1029/2000RS002523, 2003.