Relationship between consecutive frames in generalized harmonics analysis for predictive coding

Relationship between consecutive frame in the generalized harmonics analysis and possibility of predictive coding is described. In the GHA, each frame of a signal is shown as sum of sinusoids. The parameters which show the same sinusoid are often extracted from two consecutive frames. We propose a method to extract the parameters which show the same sinusoid using cross correlation function and greedily selection algorithm. This algorithm is applied to several audio signals and it is confirmed that sinusoids are extracted across multiple consecutive frames. Possibility to apply the proposed method to predictive coding is also shown.