Digital Signal Processing Reference
In-Depth Information
(c)
Repeat part (a) for
-10,
x[n] 6-1
y[n] =
c
10x[n],
ƒ x[n] ƒ F 1
10,
x[n] 7 1.
(d)
Repeat part (a) for
2,
2 6 x[n]
1,
1 6 x[n] F 2
y[n] =
e
0,
0 6 x[n] F 1
-1,
-1 6 x[n] F 0
-2,
x[n] F-1.
9.28.
Let
h
[
n
] denote the response of a system for which the input signal is the unit impulse
function
d[n].
Suppose that
h
[
n
] for a
causal
system has the given
even
part
h
e
[n] for n G 0:
0,
n = 0
3,
n = 1
4, n = 2
1,
d
h
e
[n] =
n Ú 3.
Find
h
[
n
] for all time, with your answer expressed as a mathematical function.
9.29.
Determine whether the system described by
n- 1
y[n] =
kx[k + 1]
a
k=-
q
is
(a)
memoryless;
(b)
causal;
(c)
linear;
(d)
time-invariant;
(e)
stable.
