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Analysis of a frequency-domain adaptive IIR filter

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2 Author(s)
Hong Fan ; Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA ; Yang, Y.

Convergence of frequency-domain adaptive pole-zero IIR (infinite impulse response) filter is studied. The algorithm is shown to converge in probability to an associated ordinary differential equation (ODE) which in turn converges to a local minimum of its performance surface. An analysis of the performance surface shows that the algorithm converges to one of N-factorial members in an equivalence class of global minimum points, where N is the number of adaptive poles. Saddle points exist on manifolds that separate members in the equivalence class. This explains `shoulders' in the MSE convergence curves and also suggests one way of avoiding these shoulders which cause slow convergence. A second-order simulation example confirms the above results

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:38 ,  Issue: 5 )