The problems of convergence and stability of adaptive active noise control systems with the Filtered-Reference LMS algorithm are discussed. First, the assumptions required to derive convergence conditions are collected and addressed. Then, it is demonstrated that feedback systems are subject to convergence conditions different than those used for feedforward systems. Moreover, the problems of c...

The convergence of fractal operator F used in image compression is investigated by analysis of block innuence graph and pixel innuence graph. The graph stability condition in block innuence graph implies eventual contractivity condition which is suucient for the operator iteration convergence. The graph stability condition in pixel innuence graph appears to be suucient and necessary for converg...