Bandwidth of FM wave by Carson Rule Calculator

✖Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency.ⓘ Frequency Deviation [Δf]			+10% -10%
✖Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.ⓘ Modulating Frequency [f_mod]			+10% -10%

✖Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.ⓘ Bandwidth of FM wave by Carson Rule [BW_FM]

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Bandwidth of FM wave by Carson Rule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
BW_FM = 2*(Δf+f_mod)
This formula uses 3 Variables

Variables Used

Bandwidth of FM Wave - (Measured in Hertz) - Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.
Frequency Deviation - (Measured in Hertz) - Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency.
Modulating Frequency - (Measured in Hertz) - Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.

STEP 1: Convert Input(s) to Base Unit

Frequency Deviation: 30 Hertz --> 30 Hertz No Conversion Required
Modulating Frequency: 50 Hertz --> 50 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BW_FM = 2*(Δf+f_mod) --> 2*(30+50)

Evaluating ... ...

BW_FM = 160

STEP 3: Convert Result to Output's Unit

160 Hertz --> No Conversion Required

FINAL ANSWER

160 Hertz <-- Bandwidth of FM Wave

(Calculation completed in 00.004 seconds)

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BMS College Of Engineering (BMSCE), Banglore

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BMS College of Engineering (BMSCE), Bangalore

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< Frequency Modulation Calculators

Bandwidth with respect to Modulation Index of FM

LaTeX Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))

Frequency Deviation

LaTeX Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

LaTeX Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)

Frequency Deviation provided Modulation Index

LaTeX Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

< Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio

LaTeX Go Pre Detection SNR of DSB-SC = (Amplitude of Carrier Signal DSB-SC^2*Total Power DSB-SC)/(2*Noise Density DSB-SC*Transmission Bandwidth DSBSC)

Transmitted Power of DSB-SC

LaTeX Go Transmitted Power of DSB-SC = Upper Sideband Power in DSB-SC+Lower Sideband Power DSB-SC

Bandwidth of VSB

LaTeX Go Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency

Bandwidth in DSB-SC

LaTeX Go Bandwidth in DSB-SC = 2*Maximum Frequency DSB-SC

Bandwidth of FM wave by Carson Rule Formula

LaTeX Go

Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
BW_FM = 2*(Δf+f_mod)

How does Carson's rule determine bandwidth?

To calculate the CARSON'S RULE bandwidth occupancy of this signal, add the highest audio frequency to the peak deviation then multiply by two to include both the upper and lower sideband.
The Carson bandwidth rule is expressed by the relation CBR = 2 (Δf + fm)

How to Calculate Bandwidth of FM wave by Carson Rule?

Bandwidth of FM wave by Carson Rule calculator uses Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency) to calculate the Bandwidth of FM Wave, Bandwidth of FM wave by Carson Rule is twice the sum of frequency deviation (Δf) and modulating frequency (f_m). Bandwidth of FM Wave is denoted by BW_FM symbol.

How to calculate Bandwidth of FM wave by Carson Rule using this online calculator? To use this online calculator for Bandwidth of FM wave by Carson Rule, enter Frequency Deviation (Δf) & Modulating Frequency (f_mod) and hit the calculate button. Here is how the Bandwidth of FM wave by Carson Rule calculation can be explained with given input values -> 160 = 2*(30+50).

FAQ

What is Bandwidth of FM wave by Carson Rule?

Bandwidth of FM wave by Carson Rule is twice the sum of frequency deviation (Δf) and modulating frequency (f_m) and is represented as BW_FM = 2*(Δf+f_mod) or Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency). Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency & Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.

How to calculate Bandwidth of FM wave by Carson Rule?

Bandwidth of FM wave by Carson Rule is twice the sum of frequency deviation (Δf) and modulating frequency (f_m) is calculated using Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency). To calculate Bandwidth of FM wave by Carson Rule, you need Frequency Deviation (Δf) & Modulating Frequency (f_mod). With our tool, you need to enter the respective value for Frequency Deviation & Modulating Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bandwidth of FM Wave?

In this formula, Bandwidth of FM Wave uses Frequency Deviation & Modulating Frequency. We can use 3 other way(s) to calculate the same, which is/are as follows -

Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency

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