Project_04
The Direction of Arrival Problem
Coming at You

Project 4 looks at the problem of trying to determine the direction from which narrow band electronic signals are arriving at an array of pairs of sensing stations.

Reference:

1. Dianne O'Leary,
   The Direction of Arrival Problem: Coming at You,
   Computing in Science and Engineering,
   Volume 5, Number 6, November/December 2003.
2. Dianne O'Leary,
   Scientific Computing with Case Studies,
   SIAM, 2008,
   ISBN13: 978-0-898716-66-5,
   LC: QA401.O44.

The data involves 720 observations of two signals. The data file stores both the complex signal data X and the matrix of true angles THETA measured in degrees. The signal data X has been perturbed by a normally distributed random error with mean 0 and stardard deviation of 1.

To copy the data into MATLAB, use the command

        load doadata;
      

        DOA = asin ( 4 * angle ( X ) / ( 2 * pi )
      

• doadata.mat, a MATLAB file containing the signal data X and the matrix THETA of true angles.
• doadata.txt, an ASCII text file containing the signal data X and the true angles THETA. The file begins with the signal data, printed as 5 complex values per line, followed by one blank line, followed by the matrix THETA, printed one row per line.

• eig_esprit.m
• solution.m
• svd_esprit.m
• use_eigesprit.m
• use_svdesprit.m

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