Automatic speech recognition is performed by applying the Maximum
a-posteriori decision rule to estimated probability density functions
(pdfs) of the signals from the different words in the vocabulary. These
pdfs are assumed hidden Markov models and their parameters are estimated
from labeled training data. Normally, modeling is applied to the inverse
Fourier transform of the log-spectrum which is known as the Cepstrum. In
this talk I shall review the principles of automatic speech recognition
and some interesting properties of Cepstrum. These properties are used
to improve robustness of the speech recognition system when the speech
is corrupted by noise.