Computer session on measurement and analysis of waves and turbulence

6th COSPAR Capacity Building Workshop

Sinaia, Romania, June 4-16, 2007

Ondrej Santolik


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:

  1. Download the following IDL procedures:
  2. Read the comments and try to understand the code (the above sequence of files is recommended)
  3. Run the procedure mag_svd.pro using the spectral matrix data read by read_sm.pro and check the result.
  4. 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.