A New Algorithm for Calculating LSP Parameters of Speech Signal

Line spectrum pairs (LSP) representation of linear predictive coding coefficients is widely used in speech coding, speech recognition and other domains due to its desirable interpolation and quantization properties. Several methods proposed for calculating LSP parameters have been complicated by high computation complexity. This paper proposed an effective and efficient algorithm APF using Aitken iterative method and polynomial synthesis division. LSP parameters were estimated by obtaining a root of N-order nonlinear equation by Aitken iterative method at first, then decreasing degrees with polynomial synthesis division, and finally calculating quartic equation using Ferrari´s solution. Theoretic analysis and experiment results show that the proposed algorithm has not only high precision but also low calculation complexity