a) Sketch the following signals over the period n=0 to n=5: i) x[n] = n + n¹/2 ii) x[n] = cos(n.2TT) iii) x[n] = n.cos(n.3π) In each case state whether you think the signal is random, periodic, or non-random- non-periodic.

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QUESTION 2 B PLEASE

Am--
j
-
427
Appendix
=
Question 2
a) Sketch the following signals over the period n=0 to n=5:
i) x[n] = n + n ¹/2
ii) x[n] = cos(n.2T)
iii) x[n] = n.cos(n.3π)
In each case state whether you think the signal is random, periodic, or non-random-
non-periodic.
b) For the system shown in Figure 2.b below re-draw the system fully labelling all the
arrows, and thereby write down the LDE. State whether the system is IIR or FIR, and
give your reasoning.
Then, using a table approach, find the first 5 terms in the output sequence (y[n])
when the input sequence x[n] = [n]. This output sequence looks like a sample
waveform - what sampled waveform? Explain how this sequence can be derived
from correctly sampling a periodic waveform, stating your reasoning and providing
an appropriate diagram.
x[n]
-1
Σ
y[n]
Transcribed Image Text:Am-- j - 427 Appendix = Question 2 a) Sketch the following signals over the period n=0 to n=5: i) x[n] = n + n ¹/2 ii) x[n] = cos(n.2T) iii) x[n] = n.cos(n.3π) In each case state whether you think the signal is random, periodic, or non-random- non-periodic. b) For the system shown in Figure 2.b below re-draw the system fully labelling all the arrows, and thereby write down the LDE. State whether the system is IIR or FIR, and give your reasoning. Then, using a table approach, find the first 5 terms in the output sequence (y[n]) when the input sequence x[n] = [n]. This output sequence looks like a sample waveform - what sampled waveform? Explain how this sequence can be derived from correctly sampling a periodic waveform, stating your reasoning and providing an appropriate diagram. x[n] -1 Σ y[n]
Am--
j
=
Appendix
Muud
ii) x[n] = cos(n.2TT)
iii) x[n] = n.cos(n.3π)
In each case state whether you think the signal is random, periodic, or non-random-
non-periodic.
b) For the system shown in Figure 2.b below re-draw the system fully labelling all the
arrows, and thereby write down the LDE. State whether the system is IIR or FIR, and
give your reasoning.
Then, using a table approach, find the first 5 terms in the output sequence (y[n])
when the input sequence x[n] = [n]. This output sequence looks like a sample
waveform - what sampled waveform? Explain how this sequence can be derived
from correctly sampling a periodic waveform, stating your reasoning and providing
an appropriate diagram.
x[n]
-1
Figure 2.b
X
Σ
T
y[n]
Transcribed Image Text:Am-- j = Appendix Muud ii) x[n] = cos(n.2TT) iii) x[n] = n.cos(n.3π) In each case state whether you think the signal is random, periodic, or non-random- non-periodic. b) For the system shown in Figure 2.b below re-draw the system fully labelling all the arrows, and thereby write down the LDE. State whether the system is IIR or FIR, and give your reasoning. Then, using a table approach, find the first 5 terms in the output sequence (y[n]) when the input sequence x[n] = [n]. This output sequence looks like a sample waveform - what sampled waveform? Explain how this sequence can be derived from correctly sampling a periodic waveform, stating your reasoning and providing an appropriate diagram. x[n] -1 Figure 2.b X Σ T y[n]
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