System identification using orthogonal functions and application to acoustic echo cancellation

A new Laguerre domain adaptive filter algorithm, referred to as the Laguene domain adaptive filter II (LDAF II), is proposed. The performance of the adaptive filtering algorithms is examined by a simulated acoustic echo cancellation application. The performances of the algorithm are specified using various quantities. All the results of the work, for different performance quantities, are presented with several graphics, and they are compared with Legendre functions based adaptive filter (LFB ADF), and LMS adaptive filter (LMS ADF).