According to Carson’s rule, Bandwidth B and modulating frequency fm are related as
Question
According to Carson’s rule, Bandwidth B and modulating frequency fm are related as
Solution
Carson's rule is a rule used in frequency modulation (FM) and phase modulation theory. According to Carson's rule, the total bandwidth (B) required for frequency modulation is approximately equal to twice the sum of the peak frequency deviation (Δf) and the maximum modulating frequency (fm).
Mathematically, this can be expressed as:
B ≈ 2(Δf + fm)
Where:
- B is the total bandwidth
- Δf is the peak frequency deviation
- fm is the maximum modulating frequency
This rule provides a simple and somewhat conservative estimate
Similar Questions
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
In frequency modulation, what does Carson's rule determine? A. Carrier frequency B. Modulation index C. Bandwidth D. Phase deviation
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.
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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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