Fast QR based IIR adaptive filtering algorithm

In this paper, we present a new QR based algorithm for IIR adaptive filtering. This algorithm achieves a reduction of complexity with regard to the IIR-QR algorithm by using a block reduction transformation. Moreover, this new approach makes it possible to directly transform the fast FIR algorithm into fast O(N) versions of the IIR algorithm. Therefore, we derive a fast version of the algorithm from the rotation-based lattice algorithm (QR-LSL). Simulations, have proven the fast convergence and the good numerical properties of both algorithms for systems satisfying the strictly positive real (SPR) condition