Autoregressive estimation using residual energy ratios (Corresp.)

The use of least squares estimates and their residual energies for obtaining autoregressive estimates satisfying a stability property are investigated. The partial correlation coefficients are used to provide an appropriate parametrization for this purpose. An algorithm is presented for efficient calculation of the estimates. Recursive versions of the estimate and maximum entropy properties are briefly discussed.

[1]  O. Barndorff-Nielsen,et al.  On the parametrization of autoregressive models by partial autocorrelations , 1973 .

[2]  G. Forsythe,et al.  Computer solution of linear algebraic systems , 1969 .

[3]  J. Makhoul Stable and efficient lattice methods for linear prediction , 1977 .

[4]  Jerry D. Gibson,et al.  On reflection coefficients and the Cholesky decomposition , 1977 .

[5]  A. Gray,et al.  Quantization and bit allocation in speech processing , 1976 .

[6]  B. Dickinson,et al.  Efficient solution of covariance equations for linear prediction , 1977 .

[7]  J. P. Burg,et al.  Maximum entropy spectral analysis. , 1967 .

[8]  J. Makhoul,et al.  Quantization properties of transmission parameters in linear predictive systems , 1975 .

[9]  M. Morf,et al.  Ladder forms for identification and speech processing , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[10]  Andrew P. Sage,et al.  Sequential estimation and identification of reflection coefficients by minimax entropy inverse filtering , 1975 .

[11]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[12]  Adriaan van den Bos,et al.  Alternative interpretation of maximum entropy spectral analysis (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[13]  Thomas Kailath,et al.  A view of three decades of linear filtering theory , 1974, IEEE Trans. Inf. Theory.

[14]  M. Srinath,et al.  Sequential algorithm for identification of parameters of an autoregressive process , 1975 .

[15]  M. Powell,et al.  On the modification of ^{} factorizations , 1974 .

[16]  L. Ljung,et al.  New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices , 1979 .