Digital Signal Processing Reference
In-Depth Information
9.9.
(a) (i)
neither
(ii)
odd
(iii)
even
(iv)
even
(v)
odd
(vi)
neither
9.13.
(a)
periodic,
(b)
periodic,
(c)
periodic,
(d)
periodic,
N
0
= 10
N
0
= 25
N
0
= 20
N
0
= 100
9.14.
(a)
periodic,
(b)
not periodic
(c)
periodic,
(d)
not periodic
(e)
periodic,
(f)
not periodic
(g)
periodic,
(h)
periodic,
(i)
N
0
= 14
N
0
= 1
N
0
= 14
N
0
= 14
N
0
= 14
not periodic
9.17.
(i)
periodic,
(ii)
periodic,
(iii)
periodic,
(iv)
not periodic
(v)
periodic,
(vi)
periodic,
N
0
= 2
N
0
= 200
N
0
= 4
N
0
= 4
N
0
= 40
9.19.
(a)
x
a
[n] = d[n + 3] + d[n + 2] + d[n + 1] + d[n]
- 2d[n - 1] - 2d[n - 2] - 2d[n - 3] - 2d[n - 4]
(b)
x
b
[n] =-2d[n + 2] - 2d[n + 1] + 2d[n - 1] + 2d[n - 2]
+2d[n - 3] + 2d[n - 4]
(c)
(d)
x
c
[n] =-2d[n + 1] + 4d[n] - 2d[n - 1] + 2d[n - 2] - d[n - 3]
x
d
[n] = 3d[n + 3] + 2d[n + 2] + d[n + 1] + d[n - 1]
+ 2d[n - 2] + 3d[n - 3] + d[n - 5]
9.21.
(a)
y[n] = T
1
1
x[n]
2
+ T
3
[T
2
{x[n] - T
4
1
y[n]
2
}]
9.23.
(a)
has memory, not invertible, not causal, not stable, time varying, not linear
(c)
memoryless, not invertible, causal, stable, time invariant, not linear
(d)
memoryless, invertible, causal, not stable, time invarient, not linear
(e)
memoryless, not invertible, causal, not stable, time varying, not linear
28.
h[n] = 6d[n - 1] + 8d[n - 2] + 2u[n - 3]
