2011 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (2009)
Sept. 26, 2009 to Sept. 29, 2009
This paper presents a hybrid model which is applicable to a wide variety of unidimensional signals like speech and more complex audio signals. We propose a new criterion for an optimal reconstruction of an unidimensional signal based on Wold-like decomposition of the stochastic processes. This decomposition inthe case 1D implies two mutually orthogonal parts: a purely indeterministic part and a deterministic part, which can be modelled respectively by an autoregressive model and by a harmonic model. The problem to which we answer is the identification and the separation of the two parts, by a new criterion which combines the quality and the parsimony of the parametric representations. Both analytical and experimental results show that the deterministic part and completely non-deterministic components should be parametrized separately. The model proposed by us is very efficient in terms of the numbers of parameters used in the reconstruction of the original signal.
Wold decomposition, autoregressive model, harmonic model
Flavius Turcu, Iuliana Borza, Mohamed Najim, "Hybrid Modelling of an Audio Signal Based on 1-D Wold Decomposition", 2011 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, vol. 00, no. , pp. 118-123, 2009, doi:10.1109/SYNASC.2009.10