Signals & Linear Systems
Tutorial Sheet 2 – System Responses
1.*
A Linear Time Invariant (LTI) system is specified by system equation
a)
Find the characteristic polynomial, characteristic equation, characteristic roots and characteristic modes of
this system.
b) Find
, the zero-input component of the response y(t) for t ≥ 0, if the initial conditions are
,
and
2.*
Repeat question one with
And initial conditions of
, and
3.** Repeat question one with
And initial conditions of
&
4.*
, and
Evaluate the following integrals:
a)
c)
b)
d)
5.** Find the unit impulse response of the LTI system specified by the equation
.
6.*** Find the unit impulse response of the LTI system specified by the equation
.
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