A signal whose energy is concentrated in a frequencyband is often referred to as a bandpass signal. Thereare a variety of techniques for sampling such signals,generally referred to as bandpass-samplingtechniques. To examine the possibility of sampling abandpass signal as a rate less than the totalbandwidth, consider the system shown in FigureQ2(b).Assuming that w₁ > W₂ - W₁, find the maximumvalue of T and the values of the constants A, wa, andwo such that x, (t) = x(t).rx(t)-W₂ -W₁1-WbX(jw)X+∞p(t) = Σ 8(t-nT)(a)Xp (t)p(t)1W1 W2H(jw)TH(jw)A-ola@aWa(b)Wb w3x₁ (t)

Given Data: p(t)=∑n=-∞+∞∂(t-nT) To Find: ωa=?ωb=? Tmax=?

Answered: nd ...1 - @b Wa p(t) H(jw) A+ (b) T Wa…

Engineering

Electrical Engineering

nd ...1 - @b Wa p(t) H(jw) A+ (b) T Wa @b@

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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
wo such that x, (t) = x(t).
r
x(t)
-W₂ -W₁
1
-Wb
X(jw)
X
+∞
p(t) = Σ 8(t-nT)
(a)
Xp (t)
p(t)
1
W1 W2
H(jw)
T
H(jw)
A-
ola
@a
Wa
(b)
Wb w
3
x₁ (t)

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