The Open University of Sri Lanka
Department of Electrical and Computer Engineering
EEX5360– Signals and Systems
Tutor Marked Assignment 01 (TMA 01)
Submission Deadline: 19th June 2023
Question 1
(20 marks)
Determine the average power P and energy E for the following signals.
a) x1(t) = {
𝑒𝑥𝑝(−2𝑡), 𝑡 ≥ 0
0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
b)
c)
d) X4 [n] = cos πn/4
e) X5 (t) = exp[j(2t+π/4)]
Question 2
(20 marks)
A continuous signal x(t) is shown in Figure. Sketch and label carefully the following signals:
(a) x(t - 1)
(b) x(2 - t)
(c) x(2t + 1)
(d) x(4 - t/2)
Question 3
(20 marks)
Determine whether the following signals are periodic. If a signal is periodic, determine its
period and fundamental frequency.
(a) x1(t) = 2 exp[j(t+π/4)]u(t)
(b) x2(t) = j exp[j10t]
(c) x3(t) = sin 5 π t + cos 2 π t
(d) x4(t) = exp(-1+jt).
(e) x5(t) = 6 sin(2000 π t + π/3).
(f) x6(t) = sin(2000 π t) u(t).
(g) x[n] = sin (6πn/7)
(h) x[n] = 2 cos(π n/4) + sin (π n/8)
Question 4
(20 marks)
Identify whether each of the systems given below is (i) Memoryless, (ii) Time invariant, (iii) Linear,
(iv) Causal,
(a) y(t) = x(t - 2) + x(2 - t)
(b) y(t) = cos 3t u(t)
(c) y(t) = x(t/3).
(d) y[n] = x[-n]
(e) y[n] = x[n - 2] - 2 x[n - 8]
(f) y[n] = n x[n]
(g) y[n] = x[4n + 1]