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# Solution: A carrier (fc = 100 MHz, A, = 25 V) is frequency modulated by the sine wave

#### Problem Statement: Principles of Communications

Modulation Problem Solving

A carrier (fc = 100 MHz, A, = 25 V) is frequency modulated by the sine wave (fm = 8 kHz, Am = 3 V) using a frequency modulator with frequency deviation of 58 kHz. Determine:

(a) Carrier swing frequency of the output FM signal.

(b) Highest and lowest sidebands’ frequencies generated by the modulated signal.

(c) The bandwidth of the FM signal.

(d) The transmitted power through a 50 ฮฉ load.

(a) The Carrier swing frequency of the output FM signal is equal to 99.942 MHz – 100.058 MHz.

(b) Highest and lowest sidebands’ frequencies is equal to 100.008 MHz and 99.992 MHz respectively.

(c) The bandwidth of the FM signal is equal to 132 kHz.

(d) The transmitted power through a 50 ฮฉ load is equal to 6.25 W.

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