In this correspondence, an approach to adaptive IIR filtering based on
a pseudo-linear regression and applying an iterative QR matrix decomp
osition is developed. In simulations, the algorithm has shown a high s
tability and excellent convergence properties. The derivation of the I
IR-QR adaptive filter is straightforward, and the computational comple
xity of the algorithm is comparable with the FIR-QR adaptive algorithm
of the same order and less than gradient-based adaptive IIR filters s
uch as the simplified-gradient recursive prediction error (RPE) algori
thm. Fast versions of O(N) computational complexity are readily availa
ble.