The factorial linear modelling: A Karhumen-Loeve approach to speech analysis

This paper introduces a modified linear prediction method based on the Karhumen-Loeve expansion of the correlation matrix of the speech samples. This result is obtained via a new normalization of the parameters. It is shown that, due to some important properties of Toeplitz matrices, the poles of the A. R. model lie on the unit circle. Consequently, only the formant frequencies are computed and the result can be interpreted as a special discrete Fourier transform. Application to speech analysis is developped with a comparison to the usual linear prediction and ceptrum methods.