Title :
Root loci of ill-conditioned linear predictive systems
Author_Institution :
Lab. of Acousti. & Audio Signal Process., Helsinki Univ. of Technol., Espoo, Finland
fDate :
31 Aug.-4 Sept. 2004
Abstract :
The close connection between Toeplitz and Vandermonde matrices has been noted earlier. The current paper elaborates on their relation in cases where the Toeplitz matrix is singular or ill-conditioned. We present theoretical results and an application of a linear predictive model with the unbiased autocorrelation estimate.
Keywords :
Toeplitz matrices; correlation methods; linear systems; polynomials; prediction theory; root loci; signal processing; Toeplitz matrix; autocorrelation estimation; ill-conditioned linear predictive system; root loci; Acoustic signal processing; Autocorrelation; Computational modeling; Erbium; Laboratories; Petroleum; Polynomials; Predictive models; Teleprinting; Vectors;
Conference_Titel :
Signal Processing, 2004. Proceedings. ICSP '04. 2004 7th International Conference on
Print_ISBN :
0-7803-8406-7
DOI :
10.1109/ICOSP.2004.1452595
