Page 60 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 60
CHAP. 1) SIGNALS AND SYSTEMS
Fig. 1-39
Thus, if T is linear, then
T{xJnI) = T{x,[nl} + T(x,[n - 21) =y,[nI +y,[n - 21
which is shown in Fig. 1-40. From Figs. 1-39 and 1-40 we see that
y3bI +y,[nI +yJn - 21
Hence, the system is not linear.
-2-101234 n -2 -1
Fig. 1-90
1.42. Give an example of a system that satisfies the condition of additivity (1.66) but not the
condition of homogeneity ( 1.67).
