Digital Signal Processing Reference
In-Depth Information
x
1
(
t
)
x
1
(
t
)
5
2
u
(
t
)
y
(
t
)
3
x
2
(
t
)
x
2
(
t
)
2
6
4
(a)
x
1
(
t
)
x
1
(
t
)
5
2
u
(
t
)
y
(
t
)
3
x
2
(
t
)
x
2
(
t
)
2
6
4
(b)
Figure 8.5
System for Example 8.3.
We have illustrated all four models in this section and Section 8.1. In Section 8.5, we
give a procedure for obtaining the transfer function from the state equations. How-
ever, first we consider the solution of state equations.
8.3
SOLUTION OF STATE EQUATIONS
We have developed procedures for writing the state equations for an LTI system,
given the system differential equation, the transfer function, or the simulation dia-
gram. In this section, we present two methods for solving state equations.
