Problem 1 The output signal from an AM modulator is u(t) = 5 cos 1800nt + 20 cos2000nt + 5 cos 2200tt 1. Determine the modulating signal m(t) and the carrier c(t). 2. Determine the modulation index. 3. Determine the ratio of the power in the sidebands to the power in the carrier.
Problem 1 The output signal from an AM modulator is u(t) = 5 cos 1800nt + 20 cos2000nt + 5 cos 2200tt 1. Determine the modulating signal m(t) and the carrier c(t). 2. Determine the modulation index. 3. Determine the ratio of the power in the sidebands to the power in the carrier.
Introductory Circuit Analysis (13th Edition)
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2222 ECET 3440 1 1001 LEC 129...
ЕСЕТ-3440
Homework 7 (Full AM)
NOTE: Complete/Solve all following problems using paper/pencil. Make it in one PDF file
and upload it to Canvas. You can follow Camera Scan guidelines to convert your work into
PDF. You can use Formula Sheet available on Canvas under Course Information.
Problem 1
The output signal from an AM modulator is
u(t) = 5 cos 1800nt + 20 cos 2000t + 5 cos2200t
1.
Determine the modulating signal m(t) and the carrier c(t).
2.
Determine the modulation index.
3.
Determine the ratio of the power in the sidebands to the power in the carrier.
Problem 2
An AM signal has the form
gaM (t) = [50 + 40 cos(1000t)] cos(2nf.t)
where fe
5 kHz.
||
(a) Sketch the spectrum of gam (t).
(b) Determine the power in each of the frequency components.
(c) Determine the modulation index.
(d) Determine the sidebands' power, the total power, and the ratio of the sidebands'
power to the total power.
(e) Find the power efficiency.
Problem 3
An AM signal has the form
gam(t) = [10+10 sin(400nt + 1/3)] cos(2nf.t)
where fc
= 1 kHz.
(a) Sketch the spectrum of gAm (t).
(b) Determine the power in each of the frequency components.
(c) Determine the modulation index.
(d) Determine the sidebands' power, the total power, and the ratio of the sidebands'
power to the total power.
(e) Find the power efficiency.
Problem 4
The output signal from an AM modulator is
gam(t) = 20 sin(8000t) + 20 sin(7000nt) + 20 sin(6000t)
(a) Determine the modulating signal m(t) and the carrier c(t).
(b) Determine the modulation index.
(c) Find the power efficiency.
(d) Explain whether this signal gaM(t) can be correctly demodulated or not using an
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File Details
2222 ECET 3440 1 1001 LEC 129...
ЕСЕТ-3440
Homework 7 (Full AM)
NOTE: Complete/Solve all following problems using paper/pencil. Make it in one PDF file
and upload it to Canvas. You can follow Camera Scan guidelines to convert your work into
PDF. You can use Formula Sheet available on Canvas under Course Information.
Problem 1
The output signal from an AM modulator is
u(t) = 5 cos 1800nt + 20 cos 2000t + 5 cos2200t
1.
Determine the modulating signal m(t) and the carrier c(t).
2.
Determine the modulation index.
3.
Determine the ratio of the power in the sidebands to the power in the carrier.
Problem 2
An AM signal has the form
gaM (t) = [50 + 40 cos(1000t)] cos(2nf.t)
where fe
5 kHz.
||
(a) Sketch the spectrum of gam (t).
(b) Determine the power in each of the frequency components.
(c) Determine the modulation index.
(d) Determine the sidebands' power, the total power, and the ratio of the sidebands'
power to the total power.
(e) Find the power efficiency.
Problem 3
An AM signal has the form
gam(t) = [10+10 sin(400nt + 1/3)] cos(2nf.t)
where fc
= 1 kHz.
(a) Sketch the spectrum of gAm (t).
(b) Determine the power in each of the frequency components.
(c) Determine the modulation index.
(d) Determine the sidebands' power, the total power, and the ratio of the sidebands'
power to the total power.
(e) Find the power efficiency.
Problem 4
The output signal from an AM modulator is
gam(t) = 20 sin(8000t) + 20 sin(7000nt) + 20 sin(6000t)
(a) Determine the modulating signal m(t) and the carrier c(t).
(b) Determine the modulation index.
(c) Find the power efficiency.
(d) Explain whether this signal gaM(t) can be correctly demodulated or not using an
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