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2. Probability and Random Process 85

The value A (i) is deviated from ‘m’ with (A (i)-m) when the standard
deviation of the signal is v (1/2) , then the deviation of the signal from the
(1/2)
desired mean ‘m d’ with the standard deviation of the signal v d is given by

Δ i =(v d /v) (1/2) *(A(i)-m)

5.2 Example 1

Consider the speech signal A(t) with mean=0.0062 and variance=0.0057
which is kept as the reference signal. Consider speech signal
B(t) corresponding to the same word with mean=0.0061 and
variance=0.0094. The speech signal B(t) is subjected to mean and variance
normalization as described above to obtain B(t) with desired mean and
variance as shown in the figure below.

Figure 2-7. Illustration of Mean and Variance Normalization of the speech signal