Short-term speech analysis

A common starting point in speech analysis is to find the magnitude spectrum from a speech signal. We want this to be in a discrete form that is easy to calculate and store in 

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In many cases, especially in female or other high pitched speech, the length of the closed phase can be very small, perhaps only 20 or 30 samples. In the autocorrelation method, the initial samples of the residual are dominated by the errors caused by calculating the residual from the zero signal before the window. The high (and erratic) error in the residual can be seen in the first few samples of the residual in Figure 12.17b. For short analysis windows this can lead to a residual dominated by these terms, and for this reason, covariance analysis is most commonly adopted for closed phase analysis. 

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