Speech signals representation by Discrete Transforms

In this paper, an attempt was made to analyze the speech reconstruction accuracy when using different basis functions as the kernel for a reversible transform. Various transforms such as Discrete Cosine Transform DCT, Discrete Tchebichef Transform DTT, Ordered Hadamard Transform, and Discrete Haar Transform, are defined and examined. We have found that the DCT and DTT transforms have provided the greatest energy compactness properties for noise free speech sets. While, for noisy speech signals, DCT and Haar transform have the best signal representations in the transform domain as shown in the simulation results section.