Linear prediction of audio signals

Linear prediction (LP) is a valuable tool for speech analysis and coding, due to the efficiency of the autoregressive model for speech signals. In audio analysis and coding, the sinusoidal model is much more popular, which is partly due to the poor performance of audio LP. By examining audio LP from a spectral estimation point of view, we observe that the distribution of the audio signal’s dominant frequencies in the Nyquist interval is a critical factor determining LP performance. In this framework, we describe five existing alternative LP methods and illustrate how they all attempt to solve the observed frequency distribution problem.