For x(n)={2 3 4 5 1 3}, plot the following Discrete Time signals.

828views

written 8.0 years ago by

teamques10 ★ 68k

enter image description here

1) x(n-1)

Solution: $n’ = n-1 \\ \therefore n=n’-1$

enter image description here

2) x(n)u(-n)

Solution: $n’ = -n \\ u[n] = 0, n\lt0 \\ = 1, n≥0$

n	x(n)	u(n’)	x(n)u(-n)
-2	2	1	2
-1	3	1	3
0	4	1	4
1	5	0	0
2	1	0	0
3	3	0	0

enter image description here

3) x(n-1)u(-n-1)

Solution: $n’ = n-1 \\ ∴ n = n’+1$

enter image description here

4) x(-n)u(n)

Solution: n’ = -n

n	n’	x(n’)	u(n’)	x(n’)u(n)
-2	2	2	1	2
-1	1	3	1	3
0	0	4	1	4
1	-1	5	0	0
2	-2	1	0	0
3	-3	3	0	0

enter image description here

Result: x(-n)u(n) = {4}

5) x(2n)

Solution: $n’ = 2n \\ \therefore n = n’/2$

enter image description here

ADD COMMENT EDIT