Adaptive pole estimation

AN adaptive algorithm is developed for online estimation of the poles of autoregressive (AR) processes. The method estimates the poles directly from the data without intermediate estimation of the AR coefficients or polynomial factorization. It converges rapidly, is computationally efficient, and attains the Cramer-Rao bound (CRB) asymptotically. A closed-form expression for the asymptotic CRB is provided. Convergence to the true solution is proved, and methods are discussed for extending the algorithm for use with more general (e.g. autoregressive moving-average) models. Numerical examples are presented to demonstrate the performance of the algorithm. >

[1]  Sophocles J. Orfanidis,et al.  Zero-tracking adaptive filters , 1986, IEEE Trans. Acoust. Speech Signal Process..

[2]  L. Jackson,et al.  Linear prediction in cascade form , 1978 .

[3]  Randolph L. Moses,et al.  An Adaptive ARMA Spectral Estimator. Part 2. , 1981 .

[4]  Arye Nehorai,et al.  Adaptive comb filtering for harmonic signal enhancement , 1986, IEEE Trans. Acoust. Speech Signal Process..

[5]  M. Morf,et al.  Inverses of Toeplitz operators, innovations, and orthogonal polynomials , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[6]  Arye Nehorai,et al.  An adaptive SSB carrier frequency estimator , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  P. C. Ching,et al.  Adaptive cascade filter for speech analysis , 1983 .

[8]  Petre Stoica,et al.  Adaptive algorithms for constrained ARMA signals in the presence of noise , 1988, IEEE Trans. Acoust. Speech Signal Process..

[9]  Y. T. Chan,et al.  Adaptive recursive filters in cascade form , 1987 .

[10]  Thomas Kailath,et al.  Directional signal separation by adaptive arrays with a root-tracking algorithm , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[11]  Benjamin Friedlander.  On the computation of the Cramer-Rao bound for ARMA parameter estimation , 1984 .

[12]  Petre Stoica,et al.  Adaptive parameter estimation for a constrained low-pass system , 1988 .