Principal angles approach to time-domain filter design for target cancelation
Résumé
We consider the design of a pair of time-domain filters to achieve target signal cancelation in a multi-source envi-ronment. The problem is formulated as a minimization of a sum squared error cost function with respect to the pair of finite impulse response cancelation filters. Direct mini-mization is achieved through an alternating gradient descent based method, whereas a novel method based on the method of principal angles is proposed which exploits the singular value decomposition. Simulation studies show that the gra-dient descent method suffers from slow convergence but this is overcome by the method based on principal angles which also achieves a lower cost than the gradient descent approach. The cancelation filters are then combined with an adaptive fil-tering scheme to address a video-informed audio source sep-aration problem and preliminary results suggest good perfor-mance in terms of objective measures.