An Introduction to the Mathematics of Linear Predictive Filtering as Applied to Speech Analysis and Synthesis
Abstract
A MINIMUM-MEAN-SQUARED-ERROR TECHNIQUE FOR ESTIMATING THE COEFFICIENTS OF THIS FILTER FROM SPEECH DATA IS PRESENTED. This technique leads to a set of equations for the coefficient estimates which can be solved by a computationally efficient recursive technique known as Levinson's method. The filter derived by the above mentioned technique can be realized by any standard technique; however, a particularly interesting realization is in terms of a digital simulation of a non-uniform acoustic tube. It is shown that any stable all-pole filter can be realized as an acoustic tube and, moreover, that the Levinson recursion produces as a by-product exactly the reflection coefficients needed for such a realization. The report concludes by showing how the classical theory of orthogonal polynomials can be applied to the speech analysis/synthesis problem and used to derive many of the results obtained above by other means.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 12, 1973
- Accession Number
- AD0765176
Entities
People
- Edward M. Hofstetter
Organizations
- Massachusetts Institute of Technology