Signals and Systems - Electrical Engineering

8.2 Discrete-Time Signals 463

− 5 0 5 10 15

0

5

10

15

n

y[

n]

=

x[

n+

3]

+x

[n

−3]

− 5 051015

n

x[

n

+3]

0

2

4

6

8

10

12

x[

n−

3]

− 5 0 5 10 15

n

0

2

4

6

8

10

12

0

2

4

6

8

10

12

x[

−n

]

− 10 010 − 10 010

0

2

4

6

8

10

12

n n

x[

n]

− 15 − 10 − 5 0 5 10 15

0

2

4

6

8

10

12

n

z[

n]

=x

[n

]+

x[

−n

]

(a)

(b)

(^0) − 5 0 5 10 15
2
4
6
8
10
12
n
x[
n]
FIGURE 8.2
Generation of (a)y[n]=x[n+3]+x[n−3]and (b)z[n]=x[n]+x[−n].