Q.1 (a) Sketch signal h(t) which is defined by: h(t) = -28(t + 1) + 5u(t + 1) – 2u(t) – 5u(t – 1) + 2u(t – 2) + 38(t – 2). (Note that u(t) is the unit step function and 8(t) is the unit impulse function). (b) Figure Q1(a) shows the waveform of signal g(t). (i) Express g(t) in terms of unit step function and ramp function. (ii) Sketch –2g (-3). g(t) 3 *M -3 -2 -1 0 1 2 Figure Q1(a) OGI MALAYSIA

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Q.1 (a) Sketch signal h(t) which is defined by:
h(t) = -28(t + 1) + 5u(t + 1) – 2u(t) – 5u(t – 1) + 2u(t – 2) + 38(t – 2).
(Note that u(t) is the unit step function and 8(t) is the unit impulse function).
(b) Figure Q1(a) shows the waveform of signal g (t).
(i) Express g(t) in terms of unit step function and ramp function.
(ii) Sketch –2g (-3).
g(t)
-2
-3
-2
-1
0 1
2
Figure Q1(a)
(c) Figure Q1(b) shows a system block diagram. A continuous time signal is fed into
the system. The signal is sampled beginning at t
O with sampling interval, Ts =
0.25 second.
(i)
Obtain the expression of output
y[n] in term ofx[n]
(ii) Plot signals x[n] and y[n]
(iii) Determine whether the system is memoryless, causal and time-invariant
x(t)
Adder
x(t)
x[n]
y[n]
Delay
(1 sample)
2
1+
Sampling
0.5
Delay
(1 sample)
1.5
t
Figure Q1(b)
OKERANA
EKNOLOGI M
UNIRSINOLOGI MALAYSIA
Transcribed Image Text:Q.1 (a) Sketch signal h(t) which is defined by: h(t) = -28(t + 1) + 5u(t + 1) – 2u(t) – 5u(t – 1) + 2u(t – 2) + 38(t – 2). (Note that u(t) is the unit step function and 8(t) is the unit impulse function). (b) Figure Q1(a) shows the waveform of signal g (t). (i) Express g(t) in terms of unit step function and ramp function. (ii) Sketch –2g (-3). g(t) -2 -3 -2 -1 0 1 2 Figure Q1(a) (c) Figure Q1(b) shows a system block diagram. A continuous time signal is fed into the system. The signal is sampled beginning at t O with sampling interval, Ts = 0.25 second. (i) Obtain the expression of output y[n] in term ofx[n] (ii) Plot signals x[n] and y[n] (iii) Determine whether the system is memoryless, causal and time-invariant x(t) Adder x(t) x[n] y[n] Delay (1 sample) 2 1+ Sampling 0.5 Delay (1 sample) 1.5 t Figure Q1(b) OKERANA EKNOLOGI M UNIRSINOLOGI MALAYSIA
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