Digital Signal Processing Reference
In-Depth Information
10.14.
(a)
(b)
causal
(c)
h[n] = .5d[n - 1] + .7d[n]
y[n] = 0.7u[n + 1] + 0.5u[n]
10.16.
(a)
causal, not stable
(b)
not causal, not stable
(c)
causal, not stable
(d)
not causal, not stable
(e)
causal, stable
(f)
causal, stable
10.18.
(a)
(b)
h[n] = d[n + 7] + d[n - 7]
h[n] = u[n - 3] + u[-n + 2]
b
n
y[n] =-
5
a
5
6
12
7
n
, n Ú 0
10.19.
(i)
7
+
1
2
2
y[n] = 2.108(0.7)
n
- 1.108e
-n
, n Ú-1
(ii)
10.21.
(i)
stable
(ii)
not stable
(iii)
not stable
(iv)
not stable
(v)
stable
(vi)
not stable
10.27.
(a)
(d)
(e)
y[n] - 0.9y[n - 1] = x[n] - x[n - 1]
n
u[n]
x[n] =
1
0.7
2
n
n
]
y[n] = 1.5[
1
0.7
2
-
1
0.9
2
z
z - 0.7
10.29.
(a)
H
1
z
2
=
(b)
(d)
y
ss
[n] = 1.168
cos
1
n - 43.5°
2
y
ss
[n] = 0.847
cos
n + 0.804
sin
n + 0.153 cos
n - 0.803
sin
n L cos
n
ƒ b ƒ 6 1
10.30.
(a)
(b)
no restriction
(c)
(d)
no restriction
ƒ a ƒ 6 1
CHAPTER 11
z
z - 0.3
11.1.
(a)
3z
2
- 3.4z
(b)
z
2
- 3.2z + 0.6
