Title
Optimal and sub-optimal algorithms for selecting the excitation in linear predictive coders
Abstract
A generalized coder that includes all types of excitation is presented. In this analysis-by-synthesis scheme, maximization formulae are the same regardless of the kind of excitation. The total excitation is expressed as a linear combination of excitation vectors. Given the number of excitation vectors or, equivalently, the bit rate of the coder, finding the vectors and their corresponding gains is a specific least-squares problem. The standard way this problem is usually solved is given, and three alternative mathematical approaches are proposed. These approaches are a Gram-Schmidt orthogonalization, a Choleski decomposition, a Householder transform. All these procedure have the same geometrical interpretation and lead to the same floating point simulation results
Year
DOI
Venue
1990
10.1109/ICASSP.1990.115755
Albuquerque, NM
Keywords
DocType
ISSN
encoding,filtering and prediction theory,optimisation,speech analysis and processing,speech synthesis,choleski decomposition,gram-schmidt orthogonalization,householder transform,excitation vectors,least-squares problem,linear predictive coders,optimal algorithms,speech analysis,solid modeling,cholesky decomposition,analysis by synthesis,gram schmidt orthogonalization,signal analysis,speech,floating point,linear predictive coding,vectors,stochastic processes,filtering,least squares approximation
Conference
1520-6149
Citations 
PageRank 
References 
9
1.04
1
Authors
3
Name
Order
Citations
PageRank
P. Dymarski1477.48
Moreau, N.291.72
Vigier, A.391.04