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An amplitude modulated signal is given as S(t) = 10 (2 + cos2π x 104t) cos2π x 107t. If the carrier
frequency component is suppresed before transmission, then determine the percentage power
saved.
  • a)
    33.33%
  • b)
    66.67%
  • c)
    88.89%
  • d)
    11.11%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An amplitude modulated signal is given as S(t) = 10 (2 + cos2π x 10...
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Most Upvoted Answer
An amplitude modulated signal is given as S(t) = 10 (2 + cos2π x 10...
(2πft)) cos(2πct), where f = 5 kHz and c = 100 kHz.

To find the frequency components of the modulated signal S(t), we need to consider the modulation index and the frequency components of the carrier and message signals.

The modulation index (m) is given by:

m = A_m / A_c

Where:
A_m = amplitude of message signal = 10
A_c = amplitude of carrier signal = 2

m = 10 / 2 = 5

Since the modulation index is greater than 1, this signal is over-modulated.

The frequency components of the modulated signal can be found by considering the frequencies of the carrier and message signals. The frequency components of the modulated signal will be the sum and difference of these frequencies.

The frequency of the message signal is f = 5 kHz and the frequency of the carrier signal is c = 100 kHz.

The frequency components of the modulated signal will be:

f_m = c - f = 100 kHz - 5 kHz = 95 kHz
f_c = c + f = 100 kHz + 5 kHz = 105 kHz

Therefore, the frequency components of the modulated signal S(t) are 95 kHz and 105 kHz.
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An amplitude modulated signal is given as S(t) = 10 (2 + cos2π x 104t) cos2π x 107t. If the carrierfrequency component is suppresed before transmission, then determine the percentage powersaved.a)33.33%b)66.67%c)88.89%d)11.11%Correct answer is option 'C'. Can you explain this answer?
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