FELLOW, IEEE, Departments of Electrical Engineering and Mathematical Sciences, Rice University, Houston, TX 77001.
IEEE Trans Pattern Anal Mach Intell. 1982 Feb;4(2):105-16. doi: 10.1109/tpami.1982.4767214.
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.
提出了一种基于它的 Tauberian 逼近的波形 y 的特征提取技术，也就是说，y 由单个基函数 x 的适当延迟版本的线性组合逼近，即 y(t) = ¿M i = 1 aix(t - ¿i)，其中系数 ai 和延迟 ¿i 是可调节的参数。给出了在基函数 x 的选择或设计中应考虑的因素。通过将 Prony 方法的适当改编版本应用于 y 的上述逼近的傅里叶变换，可检索参数 ai 和 ¿i，i=1，...，M。使用参数 ai 和 ¿i 的子集，i=1，...，M，来构造特征向量，该特征向量的值可用于分类算法中。将该技术应用于宽带雷达回波特征的分类中，并给出了计算机仿真结果，讨论了该结果。
