ABSTRACT
The importance of linear prediction stems from the fact that the speech wave and spectrum characteristics can be efficiently and precisely represented using a very small number of parameters. Based on the linear separable equivalent circuit model of the speech production mechanism, the speech wave is regarded as the output of the vocal tract articulation equivalent filter excited by a vocal source impulse. The characteristics of the equivalent filter, which include the overall spectral characteristics of the vocal cords as well as the radiation characteristics, can be assumed to be passive and linear. The speech wave is considered to be the impulse response of the equivalent filter, and the equivalent filter characteristics can be theoretically obtained as the solution of the linear differential equation. Maximum likelihood estimation is the method used to estimate parameters which maximize the likelihood based on the observed values.
