DECONVOLUTION AND TOTAL LEAST-SQUARES IN FINDING THE IMPULSE-RESPONSEOF AN ELECTROMAGNETIC SYSTEM FROM MEASURED DATA

Total least squares (TLS) is a method of solving overdetermined sets o f linear equations AX approximate to b when there are errors both in t he observation vector b (m x 1) and in the data matrix A (m x n) This method is particularly useful when the data matrix A is singular or hi ghly ill conditioned. We present the method of finding the TLS by appl ying the singular value decomposition to the discrete deconvolution pr oblem. Numerical results are presented for finding the impulse respons e of a transmission line from experimental data. The advantage of this approach is that this method can be automated based on the signal to noise ratio of the measured data.