Question 2 A signal whose energy is concentrated in a frequency band is often referred to as a bandpass signal. There are a variety of techniques for sampling such signals, generally referred to as bandpass-sampling techniques. To examine the possibility of sampling a bandpass signal as a rate less than the total bandwidth, consider the system shown in Figure Q2(b). Assuming that w₁ > W₂W₁, find the maximum value of T and the values of the constants A, wa, and w such that x, (t) = x(t). x(t) -W₂ -w₁ ...1 Wp X(jw) Wa 1 (a) +* p(t) = 8(t-nT) 311x Xp (t) p(t) H(jw) A- W₁ H(jw) T Wa W₂ t wp w (0)

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Question 2
A signal whose energy is concentrated in a frequency
band is often referred to as a bandpass signal. There
are a variety of techniques for sampling such signals,
generally referred
to
as bandpass-sampling
techniques. To examine the possibility of sampling a
bandpass signal as a rate less than the total
bandwidth, consider the system shown in Figure
Q2(b).
Assuming that w₁ > W₂ - W₁, find the maximum
value of T and the values of the constants A, wa, and
w such that x,.(t) = x(t).
x(t)
-W₂ -w1
...1
...
-wp
X
X(jw)
-Wa
1-
+*
p(t) = Σ 8(t-nT)
3118
(a)
Xp (t)
p(t)
H(jw)
A-
(b)
@01
H(jw)
T
Wa
W₂
шь ш
(0)
X₁
Transcribed Image Text:Question 2 A signal whose energy is concentrated in a frequency band is often referred to as a bandpass signal. There are a variety of techniques for sampling such signals, generally referred to as bandpass-sampling techniques. To examine the possibility of sampling a bandpass signal as a rate less than the total bandwidth, consider the system shown in Figure Q2(b). Assuming that w₁ > W₂ - W₁, find the maximum value of T and the values of the constants A, wa, and w such that x,.(t) = x(t). x(t) -W₂ -w1 ...1 ... -wp X X(jw) -Wa 1- +* p(t) = Σ 8(t-nT) 3118 (a) Xp (t) p(t) H(jw) A- (b) @01 H(jw) T Wa W₂ шь ш (0) X₁
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