Issue No. 02 - February (1982 vol. 4)
Rui J. P. De Figueiredo , FELLOW, IEEE, Departments of Electrical Engineering and Mathematical Sciences, Rice University, Houston, TX 77001.
Chia-Ling Hu , MEMBER, IEEE, Department of Electrical Engineering, Rice University, Houston, TX 77001; Department of Electrical Engineering, Chung-Shan Institute of Science and Technology, Taoyua
A technique is presented for feature extraction of a waveform y based on its Tauberian approximation, that is, on the approximation of y by a linear combination of appropriately delayed versions of a single basis function x, i.e., y(t) = ¿M i = 1 aix(t - ¿i), where the coefficients ai and the delays ¿i are adjustable parameters. Considerations in the choice or design of the basis function x are given. The parameters ai and ¿i, i=1, . . . , M, are retrieved by application of a suitably adapted version of Prony's method to the Fourier transform of the above approximation of y. A subset of the parameters ai and ¿i, i = 1, . . . , M, is used to construct the feature vector, the value of which can be used in a classification algorithm. Application of this technique to the classification of wide bandwidth radar return signatures is presented. Computer simulations proved successful and are also discussed.
C. Hu and R. J. De Figueiredo, "Waveform Feature Extraction Based on Tauberian Approximation," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 4, no. , pp. 105-116, 1982.