Cascade lattice IIR adaptive filter structure using simultaneous perturbation method for self-adjusting SHARF algorithm

The infinite impulse response (IIR) is a property of signal processing systems. The systems with this property are known as the IIR system. A new IIR adaptive filter algorithm has been proposed which is constructed as a cascade of transversal structure as well as all pole lattice structure. The filter structure is adapted using the simple hyperstable adaptive recursive filter (SHARF) algorithm in which the transversal and lattice sections are updated using the simultaneous perturbation method. In this paper, the SHARF algorithm is investigated using strictly positive real (SPR) transfer functions designed without any prior knowledge of the filter parameters by the pole-zero placement on the unit circle. The proposed algorithm preserves the stability of the IIR adaptive filter during the adaptation with lower computational complexity and cost than conventional algorithms. The simulation results show the desirable features of the proposed scheme.