AN LPC-BASED ANALYSIS SYNTHESIS SYSTEM
We can use the linear prediction model to create an analysis/synthesis system: Recall that the linear prediction model, A(z), takes on the form:


This is an all-zero filter which is minimum phase. The inverse of this filter, which is used to synthesize the signal, is an all-pole filter. If the autocorrelation method is used to compute the LP coefficients, the filter is guaranteed to be stable.

Note the similarities of this system to our digital model of speech production: