We want to transmit a signal m(t) composed of three frequencies: 440 Hz with an amplitude of 1 volt, 560 Hz with an amplitude of 2 volts and 680 Hz with an amplitude of 1 volt. This is the information signal. This signal will be modulated around a carrier to be transmitted via an antenna. Wave length 30 cm. 1. Write the mathematical temporal equation of the modulating signal. 2. Represent by a figure the spectrum of the modulating signal 3. Calculate the carrier frequency suitable for the antenna.

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We want to transmit a signal m(t) composed of three frequencies: 440 Hz with an amplitude
of 1 volt, 560 Hz with an amplitude of 2 volts and 680 Hz with an amplitude of 1 volt. This is
the information signal.
This signal will be modulated around a carrier to be transmitted via an antenna. Wave length
30 cm.
1. Write the mathematical temporal equation of the modulating signal.
2. Represent by a figure the spectrum of the modulating signal
3. Calculate the carrier frequency suitable for the antenna.
4. We will assume that the carrier frequency is fp. The carrier is written:
v(t) Vp sin( 2 π fpt).
Write the mathematical temporal equation of the signal module (we will give the expanded
mathematical expression of s(t), signal module).
5. Plot the spectrum of the module signal.
6. Calculate the power in Watt of the signal (we will assume k=1). We will take Vp =3.
7. Calculate the power in dB.
Transcribed Image Text:We want to transmit a signal m(t) composed of three frequencies: 440 Hz with an amplitude of 1 volt, 560 Hz with an amplitude of 2 volts and 680 Hz with an amplitude of 1 volt. This is the information signal. This signal will be modulated around a carrier to be transmitted via an antenna. Wave length 30 cm. 1. Write the mathematical temporal equation of the modulating signal. 2. Represent by a figure the spectrum of the modulating signal 3. Calculate the carrier frequency suitable for the antenna. 4. We will assume that the carrier frequency is fp. The carrier is written: v(t) Vp sin( 2 π fpt). Write the mathematical temporal equation of the signal module (we will give the expanded mathematical expression of s(t), signal module). 5. Plot the spectrum of the module signal. 6. Calculate the power in Watt of the signal (we will assume k=1). We will take Vp =3. 7. Calculate the power in dB.
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