Digital Signal Processing Reference
In-Depth Information
h
1
(
t
)
x
(
t
)
y
(
t
)
h
3
(
t
)
h
2
(
t
)
h
4
(
t
)
(a)
h
1
(
t
)
h
2
(
t
)
h
3
(
t
)
x
(
t
)
y
(
t
)
h
4
(
t
)
(b)
[
h
1
(
t
)
h
2
(
t
)]
h
3
(
t
)
x
(
t
)
y
(
t
)
h
4
(
t
)
(c)
x
(
t
)
y
(
t
)
[
h
1
(
t
)
h
2
(
t
)]
h
3
(
t
)
h
4
(
t
)
Figure 3.15
System for Example 3.7.
(d)
transfer-function approach is introduced later in this chapter and is generalized by
application of the Fourier transform of Chapters 5 and 6 and the Laplace transform
of Chapter 7.
3.4
PROPERTIES OF CONTINUOUS-TIME LTI SYSTEMS
In Section 2.7, several properties of continuous-time systems are defined. In this
section, we investigate these properties as related to linear time-invariant systems.
The input-output characteristics of a continuous-time LTI system are com-
pletely described by its impulse response
h(t).
Hence, all properties of a system can
