Signals and Systems Laboratory. IFE 2014
EXPERIMENT 2
Laplace Transform and its applications.
Task 1
Using Matlab Symbolic Math Toolbox compute the Laplace transform of the signal PTS_# (given by
your teacher). (HINT: use syms, laplace).
Task 2
Compute the Laplace transform of the following functions
(HINT: use syms, laplace, simplify)
Task 3
Compute the inverse Laplace transform of the following functions:
a)
b)
(HINT: use syms, ilaplace)
Task 4
Express in partial fraction form the
function:
c)
d)
e)
(HINT: use residue)
Task 5 Express in rational form the
function:
a)
(HINT: use residue)
Task 6
Compute and plot the output of the system described by the impulse response:
h(t )  t 3 exp( 2t )
Supplied with the input signal: x(t )  PTS # (t )
(HINT: apply Convolution Theorem)
Task 7
Compute and plot the solution of the differential equation
𝑦 ′′ + 𝑦 ′ + 2𝑦 = 𝑃𝑇𝑆#(𝑡), 𝑦 ′ (0) = 3, 𝑦(0) = 1,
Use:
a) Matlab Symbolic Toolbox
b) ODE engine
Task 7
Formulate and verify (use testing signals or symbolic analysis )
a) Final value Theorem
FIRST NAME
SECOND NAME
GROUP
DATES
FINAL MARK