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A 20 KW and 1 MHz carrier is frequency modulated by a sinusoidal signal so that the maximum frequency deviation is 50 KHz and the message signal is band limited to 500 KHz. The generated FM signal is amplitude modulated using carrier of 1 GHz.
Q. The bandwidth of the generated AM signal is
  • a)
    3 MHz 
  • b)
    3.5 MHz
  • c)
    3.1 Mhz 
  • d)
    4 MHz
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A 20 KW and 1 MHz carrier is frequency modulated by a sinusoidal signa...
Taking above spectrum as message signal and generate AM signal using carrier 1GHZ
BW = 2 1,5 MHz = 3MHz
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Most Upvoted Answer
A 20 KW and 1 MHz carrier is frequency modulated by a sinusoidal signa...
Explanation:

Given:
- Carrier frequency (fc) = 1 MHz
- Carrier power (Pc) = 20 kW
- Modulation frequency (fm) = 1 MHz
- Maximum frequency deviation (Δf) = 50 KHz
- Message signal bandwidth (B) = 500 KHz
- Carrier frequency for AM modulation (fc1) = 1 GHz

Frequency Modulation:

- Maximum frequency deviation (Δf) = 50 KHz
- Modulation index (m) = Δf/fm = 50 KHz/1 MHz = 0.05
- Bandwidth of FM signal (Bfm) = 2(Δf + fm) = 2(50 KHz + 1 MHz) = 2.1 MHz

Amplitude Modulation:

- The carrier frequency for AM modulation (fc1) = 1 GHz
- The maximum frequency deviation (Δf) = 50 KHz
- The bandwidth of the modulating signal (B) = 500 KHz
- The bandwidth of the AM signal (Bam) = 2B + 2Δf = 2(500 KHz) + 2(50 KHz) = 1.1 MHz

Total Bandwidth:

- The generated AM signal is amplitude modulated over the FM signal.
- The total bandwidth of the signal is the sum of the bandwidths of the FM signal and the AM signal.
- Total bandwidth = Bfm + Bam = 2.1 MHz + 1.1 MHz = 3.2 MHz

Therefore, the bandwidth of the generated AM signal is 3 MHz. Thus option (a) is the correct answer.
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A 20 KW and 1 MHz carrier is frequency modulated by a sinusoidal signal so that the maximum frequency deviation is 50 KHz and the message signal is band limited to 500 KHz. The generated FM signal is amplitude modulated using carrier of 1 GHz.Q. The bandwidth of the generated AM signal isa)3 MHzb)3.5 MHzc)3.1 Mhzd)4 MHzCorrect answer is option 'A'. Can you explain this answer?
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