A continuation method for identification of the natural frequencies of an object using a measured response
Abstract
According to the singularity expansion method (SEM), the latetime electromagnetic field scattered from a finite sized conducting body is represented as a sum of damped sinusoids (natural modes). An important problem involves the extraction of the natural frequencies from a time domain measurement of such a scattered field. It is desired to find a function with certain characteristics which 'best fits' in some way the measured data. This problem is known to be illconditioned. The present investigation is concerned with a method for solving the problem with the aid of a regularization process. This approach makes it possible to change the illconditioned problem into a wellconditioned one with a sufficiently similar solution.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 April 1985
 DOI:
 10.1109/TAP.1985.1143595
 Bibcode:
 1985ITAP...33..445D
 Keywords:

 Electric Conductors;
 Electromagnetic Scattering;
 Frequency Measurement;
 Resonant Frequencies;
 Time Response;
 Curve Fitting;
 Near Fields;
 Series Expansion;
 Signal Measurement;
 Singularity (Mathematics);
 Communications and Radar