We prove convergence and quasi-optimality of a lowest-order adaptive boundary element method for a weakly-singular integral equation in 2D. The adaptive meshrefinement is driven by the weighted-residual error estimator. By proving that this estimator is not only reliable, but under some regularity assumptions on the given data also efficient on locally refined meshes, we characterize the approx...

In this work we develop a new framework for a posteriori error estimation and detection of anisotropies based on the dual weighted residual method by Becker and Rannacher. The common approach for anisotropic mesh adaptation is to analyze the Hessian of the solution. Eigenvalues and eigenvectors indicate dominant directions and optimal stretching of elements. However this approach is firmly link...

This paper proposes novel robust speech F0 estimation using SRH (Summation Residual Harmonics) based on TV-CAR (Time-Varying Complex AR) analysis. We have already proposed robust F0 estimation based on the TV-CAR analysis in which weighted auto-correlation for complex residual signals is used as the criterion. In the SRH method, the criterion is calculated from LP residual signals. The criterio...

In order to ensure that the estimates of system parameters are unbiased and efficient, most identification schemes including the Prediction Error Method (PEM), and the Subspace Method (SM), are based on minimizing the residual of the Kalman filter, and not the equation error (associated with system model) as the residual is a zero mean white noise process whereas the equation error is coloured ...