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A DSB-SC signal is generated using the carrier signal cos (ωct + θ) and modulating signal m(t). What is the envelope detector output of this DSB-SC signal?
- a)m(t) cos θ
- b)|m(t)|
- c)m(t) tan θ
- d)m(t) sin θ
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A DSB-SC signal is generated using the carrier signal cos (ωct +...
Ωc t) and the message signal m(t). The DSB-SC signal can be represented as:
s(t) = Ac * cos(ωc t) * m(t)
Where Ac is the amplitude of the carrier signal, ωc is the angular frequency of the carrier signal, and m(t) is the message signal.
This DSB-SC signal is generated by multiplying the carrier signal cos(ωc t) with the message signal m(t). The carrier signal provides the frequency and phase information, while the message signal carries the desired information to be transmitted.
The resulting DSB-SC signal contains two sidebands, one above and one below the carrier frequency. The carrier frequency itself is suppressed, hence the name Double Sideband Suppressed Carrier (DSB-SC). The sidebands carry the same information as the message signal, but shifted in frequency.
To demodulate the DSB-SC signal and recover the original message signal, a coherent demodulator is used. This involves multiplying the DSB-SC signal with a local oscillator signal that has the same frequency and phase as the carrier signal used in the modulation process. The resulting product is then passed through a low-pass filter to remove the high-frequency components and extract the original message signal.
DSB-SC modulation is commonly used in applications such as AM radio broadcasting, where the message signal is an audio signal and the carrier signal is a high-frequency radio wave. By using DSB-SC modulation, the audio signal can be transmitted efficiently over long distances.
s(t) = Ac * cos(ωc t) * m(t)
Where Ac is the amplitude of the carrier signal, ωc is the angular frequency of the carrier signal, and m(t) is the message signal.
This DSB-SC signal is generated by multiplying the carrier signal cos(ωc t) with the message signal m(t). The carrier signal provides the frequency and phase information, while the message signal carries the desired information to be transmitted.
The resulting DSB-SC signal contains two sidebands, one above and one below the carrier frequency. The carrier frequency itself is suppressed, hence the name Double Sideband Suppressed Carrier (DSB-SC). The sidebands carry the same information as the message signal, but shifted in frequency.
To demodulate the DSB-SC signal and recover the original message signal, a coherent demodulator is used. This involves multiplying the DSB-SC signal with a local oscillator signal that has the same frequency and phase as the carrier signal used in the modulation process. The resulting product is then passed through a low-pass filter to remove the high-frequency components and extract the original message signal.
DSB-SC modulation is commonly used in applications such as AM radio broadcasting, where the message signal is an audio signal and the carrier signal is a high-frequency radio wave. By using DSB-SC modulation, the audio signal can be transmitted efficiently over long distances.
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Community Answer
A DSB-SC signal is generated using the carrier signal cos (ωct +...
s1(t) = Ac [1 + kam(t) ] cosωct
s2(t) = Ac [1 - kam(t) ] cosωct
s(t) = Ac [1 + kam(t) ] cosωct - Ac [ 1 - kam(t) ] cosωct
= 2 Ac ka m(t) cosωct
s(t) ∝ m(t) cosωct
Hence, Envelope of s(t) = |m(t)|
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A DSB-SC signal is generated using the carrier signal cos (ωct + θ) and modulating signal m(t). What is the envelope detector output of this DSB-SC signal?a)m(t) cos θb)|m(t)|c)m(t) tan θd)m(t) sin θCorrect answer is option 'B'. Can you explain this answer?
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