Bandwidth of FM by Carson’s rule for the generation of FM,Carrier freq = 100MHz; Modulating signal freq = 1kHz; Max freq deviation = 50kHzSelect one:a. 51kHzb. 1kHzc. 102kHzd. 204kHz
Question
Bandwidth of FM by Carson’s rule for the generation of FM,Carrier freq = 100MHz; Modulating signal freq = 1kHz; Max freq deviation = 50kHzSelect one:a. 51kHzb. 1kHzc. 102kHzd. 204kHz
Solution
The bandwidth of an FM signal can be calculated using Carson's rule, which states that approximately 98% of the power of an FM signal is contained within a bandwidth of 2(Δf + fm), where Δf is the peak frequency deviation and fm is the maximum modulating frequency.
Given: Δf = 50kHz (maximum frequency deviation) fm = 1kHz (maximum modulating frequency)
Substituting these values into Carson's rule:
Bandwidth = 2(Δf + fm) = 2(50kHz + 1kHz) = 2 * 51kHz = 102kHz
So, the bandwidth of the FM signal is approximately 102kHz. Therefore, the correct answer is c. 102kHz.
Similar Questions
According to Carson’s rule, Bandwidth B and modulating frequency fm are related as
A carrier wave of frequency 100 MHz is frequency-modulated by a sinusoidal wave ofamplitude 20 V and frequency 100 kHz. The frequency sensitivity of the modulator is 25kHz/V.(a) Determine the approximate bandwidth of the FM wave, using Carson’s rule.(b) Determine the bandwidth obtained by transmitting only those side-frequencieswith amplitudes that exceed one percent of the unmodulated carrier amplitude.
In frequency modulation, what does Carson's rule determine? A. Carrier frequency B. Modulation index C. Bandwidth D. Phase deviation
In FM, frequency deviation is directly proportional toSelect one:a. modulating frequencyb. carrier frequencyc. carrier amplituded. modulating signal amplitude
The modulation index of FM is given byA. Modulating frequency /Frequency deviationB. Frequency deviation/ modulating frequencyC. Modulating frequency/ carrier frequencyD. Carrier frequency / Modulating frequency
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.