State Space Model-Based Parameter Estimation Methods And Some Applicatons

This paper reviews state space model-based methods for signal processing applications. A state space frame-work is shown to provide a convenient tool for exposing and exploiting structure inherent in many model based methods. It is also shown that there exist state space methods which are robust to noise in data, and to numerical errors. From a computational point of view, the methods are often less complex than existing competing methods. Futhermore they only involve matrix operations which are suitable for systolic/wavefront implementation.

[1]  Bhaskar D. Rao,et al.  Performance analysis of ESPRIT and TAM in determining the direction of arrival of plane waves in noise , 1989, IEEE Trans. Acoust. Speech Signal Process..

[2]  K. Arun,et al.  Generalized principal components analysis and its application in approximate stochastic realization , 1986 .

[3]  Sun-Yuan Kung,et al.  A new identification and model reduction algorithm via singular value decomposition , 1978 .

[4]  D. V. Bhaskar Rao Analysis of coefficient quantization errors in state-space digital filters , 1986, IEEE Trans. Acoust. Speech Signal Process..

[5]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[6]  Alan J. Laub,et al.  Systolic computation of multivariable frequency response , 1988 .

[7]  K. S. Arun Principal components algorithms for ARMA spectrum estimation , 1989, IEEE Trans. Acoust. Speech Signal Process..

[8]  Bhaskar D. Rao State Space Methods For Doa Estimation , 1989, Photonics West - Lasers and Applications in Science and Engineering.

[9]  Lothar Thiele,et al.  On the sensitivity of linear state-space systems , 1986 .

[10]  Sun-Yuan Kung,et al.  A Toeplitz approximation approach to coherent source direction finding , 1986, ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[11]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

[12]  Bhaskar D. Rao Sensitivity considerations in state-space model-based harmonic retrieval methods , 1989, IEEE Trans. Acoust. Speech Signal Process..

[13]  Bhaskar D. Rao Sensitivity analysis of state space methods in spectrum estimation , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.