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Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10.1 kHz are added together. The combined signal is given to an ideal frequency detector. The output of the detector is
  • a)
    0.1 kHz sinusoidal
  • b)
    10.1 kHz sinusoidal
  • c)
    a linear function
  • d)
    a constant
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10...
Y(t) = A cos (2p x 104 t) + A cos (2p x 10.1 x 103 t)
when passed through high pass filter,
Output will be A cos (2p x 10.1 x 103 t) only.
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Most Upvoted Answer
Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10...
Frequency Detection

When two sinusoidal signals of the same amplitude and slightly different frequencies are added together, a beat frequency is produced. The beat frequency is equal to the difference between the two frequencies. In this case, the beat frequency is 100 Hz (10.1 kHz - 10 kHz = 0.1 kHz = 100 Hz).

Ideal Frequency Detector

An ideal frequency detector is a circuit that produces an output signal that is proportional to the frequency of the input signal. In other words, if the input signal has a frequency of 10 kHz, the output signal will be proportional to 10 kHz. If the input signal has a frequency of 10.1 kHz, the output signal will be proportional to 10.1 kHz.

Output of the Detector

In this case, the combined signal has a beat frequency of 100 Hz. When this signal is given to an ideal frequency detector, the output will be proportional to the frequency of the input signal, which is 10.1 kHz. Therefore, the output of the detector will be a 10.1 kHz sinusoidal signal.

Answer

Option B is the correct answer, which states that the output of the detector is a 10.1 kHz sinusoidal signal.
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Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10.1 kHz are added together. The combined signal is given to an ideal frequency detector. The output of the detector isa)0.1 kHz sinusoidalb)10.1 kHz sinusoidalc)a linear functiond)a constantCorrect answer is option 'B'. Can you explain this answer?
Question Description
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