Algorithms For Adaptive IIR Filtering Research Articles

A homotopy continuation adaptive IIR filtering algorithm

A homotopy continuation adaptive IIR filtering algorithm is proposed in this paper. The novel algorithm introduces the homotopy continuation method into the adaptive filtering so as to provide a high stability for adaptive IIR filter without any forms of stability monitoring attached.

Composite algorithms for adaptive IIR filtering

Two algorithms based on the combination of the output and equation error schemes are proposed. Their relations are discussed and an example is included to show that the algorithms may be useful for solving some adaptive IIR filtering problems that cannot be successfully solved with existing algorithms.

Stable and efficient lattice algorithms for adaptive IIR filtering

Previous attempts at applying lattice structures to adaptive infinite-impulse-response (IIR) filtering have met with gradient computations of O(N/sup 2/) complexity. To overcome this computational burden, two new lattice-based algorithms are proposed for adaptive IIR filtering and system identification, with both algorithms of O(N) complexity. The first algorithm is a reinterpretation of the Steiglitz-McBride method (1965), while the second is a variation on the output error method. State space models are employed to make the derivations transparent, and the methods can be extended to other parameterizations if desired. The set of possible stationary points of the algorithms is shown to be consistent with the convergent points obtained from the direct-form versions of the Steiglitz-McBride and output error methods, whose properties are well studied. The derived algorithms are as computationally efficient as existing direct-form based algorithms, while overcoming the stability problems associated with time-varying direct-form filters.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Multivariable adaptive iir filtering

AbstractThe necessity for adaptive signal processing is recognized widely in applications to communication and control fields. Also, adaptive signal processing for a multivariable system is an important problem. This paper proposes techniques based on gradient consideration for multivariable adaptive IIR filtering, which is constructed from IIR structure having infinite impulse response. the treatment of the gradient shapes the form of the algorithm for adaptive IIR filtering, since the output of the IIR filter is a nonlinear function of the parameter estimates. Thus we consider first a basic algorithm and then construct four adaptive algorithms for multivariable adaptive IIR filtering. to develop a theoretical consideration, we analyze the convergence behaviors of the four proposed algorithms in 1.i.m. sense after proposing new equalities about Kronecker's product. Furthermore, we consider applications of multivariable adaptive IIR filtering to several data processing fields.