Patent Document ID: 20090003134
Application ID: 11768361
Patent Flag: 0

Claim One:
1. A method for improved active sonar, said method comprising: providing an excitation waveform x(t); providing a measured channel response z(t); filtering the excitation waveform x(t) using a plurality of Eigen filters generated by a Singular Value Decomposition (SVD) of the covariance matrix of the excitation waveform, where the SVD produces all the eigenvectors with their eigenvalues; constructing a nonlinear basis set to determine the kernel estimates of a Volterra-Hermite series expansion of the eigenvectors, where the basis set is a nonlinear no-memory device and the order of the nonlinearity selected determines the number and combinations of filters that are required to compute the essential kernels for performing an accurate estimate of a modeled response, y(t); determining the coefficients for the modeled response, y(t) against the actual data measurements of measured channel response z(t) and minimizing the sum of squared errors, where the fitting model minimizes the sum of the squared errors between actual measurement and the modeled response y(t); and providing the modeled response for at least one of display and further processing.