Page 148 - Introduction to Statistical Pattern Recognition

130 Introduction to Statistical Pattern Recognition

for white noise -
x(t) z A Correlation classifier
=- Cdt, T)X(T) dT
(Fig. I)

Fig. 4-5 A correlation classifier for colored noise.

( l+.Vj)12 ( - p, . )( I-.l, Y2
P,(Xi =xilo;} = Pjj 'J , (4.14)
where

Pji +,(Xi = 1 IWj) . (4.15)
Note that (4.14) becomes P, for xj = +1, and (1 - Pii) for xi = -1. For

x2 y2

Bisector =

class if ier

= XI

(0)
Fig. 4-6 Effect of a whitening process.

independent xi's, the density function of the binary random vector X is