Development of fast approximation of Karhunen-Loeve transform for problems of speechlike signal recognition

Alexander M. Krot, Nataly N. Prokudina · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997

The problem of speech recognition becomes more and more important now. And one of the difficult tasks in that problem is the transformation of an initial signal to set of parameters to be recognized. The optimum orthogonal transform which is the best preserve information is given by the augmented eigenvectors of the data domain covariance matrix. Such transformation, commonly called the Karhunen- Loeve transformation (KLT) is too complex to be installed into speech processing system. By imposing of some restrictions to the input signal, it is possible to simplify calculation of KLT by its reduction to another transformation, which is easily calculated. Moreover, these restrictions allow to use fast algorithms for calculation. Such technique was applied to reach speech signal and correctness of imposed restrictions was proved. The technique of transformation of speech signal into sequence of parameters has been developed and experimentally proved.

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