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. 102kHzb. 1kHzc. 204kHzd. 51kHz
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. 102kHzb. 1kHzc. 204kHzd. 51kHz
Solution
Carson's rule is used to estimate the bandwidth of a frequency modulated (FM) signal. The formula for Carson's rule is:
Bandwidth = 2 * (Frequency Deviation + Modulating Frequency)
Given:
- Frequency Deviation = 50kHz
- Modulating Frequency = 1kHz
Substitute these values into the formula:
Bandwidth = 2 * (50kHz + 1kHz) Bandwidth = 2 * 51kHz Bandwidth = 102kHz
So, the answer is a. 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
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