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The base band signal m(t) is recovered from the DSB-Sc signal s(t) = m(t). Cos2πfct, by multiplying s(t) by the locally generated carrier Cos (2πfct φ). The product is passed through a LPF which rejects the double frequency signal. If the base band signal is band limited to 4KHz, what is the minimum value of fc for which m(t) can be recovered by filtering ?
  • a)
    4 KHz
  • b)
    8 KHz
  • c)
    12 KHz
  • d)
    16 KHz
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The base band signal m(t) is recovered from the DSB-Sc signal s(t) = m...
In order to recover m(t) from s(t) by filter method it is necessary that the lowest frequency contained in the first term of s(t) must be greater than the highest frequency contained in the second term that is
So minimum value of fc = 4 KHz
 
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Most Upvoted Answer
The base band signal m(t) is recovered from the DSB-Sc signal s(t) = m...
The baseband signal m(t) can be recovered from the DSB-SC (Double Sideband Suppressed Carrier) signal s(t) = m(t) * cos(2πfct), where m(t) is the message signal and fc is the carrier frequency.

To recover the baseband signal m(t), we can use a process called envelope detection or envelope demodulation. This involves removing the carrier frequency component from the DSB-SC signal to obtain the original message signal.

The envelope detection process can be accomplished using a diode detector or an envelope detector circuit. The diode detector is a simple and commonly used method for envelope detection.

The diode detector circuit consists of a diode, a resistor, and a capacitor. The DSB-SC signal s(t) is connected to the input of the circuit, and the output is taken across the capacitor.

When the DSB-SC signal is applied to the diode detector circuit, the diode only allows the positive half of the signal to pass through. This is because the diode conducts only when the input voltage is higher than the voltage across the capacitor.

The positive half of the DSB-SC signal is rectified by the diode, resulting in a half-wave rectified signal. This rectified signal is then passed through the capacitor, which acts as a low-pass filter, smoothing out the signal.

The output of the diode detector circuit is the recovered baseband signal m(t), which is the original message signal without the carrier frequency component.

To summarize, the baseband signal m(t) can be recovered from the DSB-SC signal s(t) by using envelope detection or envelope demodulation. This involves removing the carrier frequency component from the DSB-SC signal using a diode detector or an envelope detector circuit.
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The base band signal m(t) is recovered from the DSB-Sc signal s(t) = m(t). Cos2πfct, by multiplying s(t) by the locally generated carrier Cos (2πfct φ). The product is passed through a LPF which rejects the double frequency signal. If the base band signal is band limited to 4KHz, what is the minimum value of fc for which m(t) can be recovered by filtering ?a)4 KHzb)8 KHzc)12 KHzd)16 KHzCorrect answer is option 'A'. Can you explain this answer?
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