Bandwidth of FM by Carson Rule with Beta Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
BWFM = 2*(1+β)*fmod
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.
Modulation Index in FM - Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm).
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
Modulation Index in FM: 0.6 --> No Conversion Required
Modulating Frequency: 50 Hertz --> 50 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BWFM = 2*(1+β)*fmod --> 2*(1+0.6)*50
Evaluating ... ...
BWFM = 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)

Credits

Created by Shashank
Nitte Meenakshi Institute of Technology (NMIT), Bangalore
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9 Frequency Modulation Calculators

Bandwidth with respect to Modulation Index of FM
Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
Bandwidth of FM by Carson Rule with Beta
Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
Frequency Sensitivity
Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message
Frequency Deviation
Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message
Bandwidth of FM wave by Carson Rule
Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
Frequency Deviation provided Modulation Index
Go Frequency Deviation = Modulation Index in FM*Modulating Frequency
Modulation Index of FM Wave
Go Modulation Index in FM = Frequency Deviation/Modulating Frequency
Modulating Frequency
Go Modulating Frequency = Angular Frequency/(2*pi)
Carrier Swing
Go Carrier Swing = 2*Frequency Deviation

21 Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio
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)
Modulating Signal Frequency of FM Receiver
Go Modulating Signal Frequency = Phase Deviation/(Proportionality Constant*Amplitude of Modulating Signal)
Modulating Signal Amplitude of FM Receiver
Go Amplitude of Modulating Signal = Phase Deviation/(Proportionality Constant*Modulating Signal Frequency)
Upper Sideband Power
Go Upper Sideband Power = (Amplitude of Carrier Signal^2*Modulation Index^2)/(8*Resistance)
Lower Sideband Power
Go Lower Sideband Power = Amplitude of Carrier Signal^2*Modulation Index^2/(8*Resistance)
Transmitted Power of DSB-SC
Go Transmitted Power of DSB-SC = Upper Sideband Power in DSB-SC+Lower Sideband Power DSB-SC
Bandwidth with respect to Modulation Index of FM
Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
Bandwidth of FM by Carson Rule with Beta
Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
Upper Sideband Frequency
Go Upper Sideband Frequency = (Carrier Frequency+Message Maximum Frequency)
Lower Sideband Frequency
Go Lower Sideband Frequency = (Carrier Frequency-Message Maximum Frequency)
Frequency Sensitivity
Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message
Frequency Deviation
Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message
Bandwidth of FM wave by Carson Rule
Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
Frequency Deviation provided Modulation Index
Go Frequency Deviation = Modulation Index in FM*Modulating Frequency
Modulation Index of FM Wave
Go Modulation Index in FM = Frequency Deviation/Modulating Frequency
Bandwidth of VSB
Go Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency
Upper Sideband Power with respect to Carrier Power
Go Upper Sideband Power = Carrier Power*(Modulation Index^2)/4
Lower Sideband Power with respect to Carrier Power
Go Lower Sideband Power = Carrier Power*(Modulation Index^2)/4
Modulating Frequency
Go Modulating Frequency = Angular Frequency/(2*pi)
Bandwidth in DSB-SC
Go Bandwidth in DSB-SC = 2*Maximum Frequency DSB-SC
Carrier Swing
Go Carrier Swing = 2*Frequency Deviation

Bandwidth of FM by Carson Rule with Beta Formula

Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
BWFM = 2*(1+β)*fmod

What is Carson's rule?

Carson's Rule defines the approximate modulation bandwidth required for a carrier signal that is frequency-modulated by a spectrum of frequencies rather than a single frequency.

How to Calculate Bandwidth of FM by Carson Rule with Beta?

Bandwidth of FM by Carson Rule with Beta calculator uses Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency to calculate the Bandwidth of FM Wave, The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data. Bandwidth of FM Wave is denoted by BWFM symbol.

How to calculate Bandwidth of FM by Carson Rule with Beta using this online calculator? To use this online calculator for Bandwidth of FM by Carson Rule with Beta, enter Modulation Index in FM (β) & Modulating Frequency (fmod) and hit the calculate button. Here is how the Bandwidth of FM by Carson Rule with Beta calculation can be explained with given input values -> 160 = 2*(1+0.6)*50.

FAQ

What is Bandwidth of FM by Carson Rule with Beta?
The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data and is represented as BWFM = 2*(1+β)*fmod or Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency. Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm) & 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 by Carson Rule with Beta?
The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data is calculated using Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency. To calculate Bandwidth of FM by Carson Rule with Beta, you need Modulation Index in FM (β) & Modulating Frequency (fmod). With our tool, you need to enter the respective value for Modulation Index in FM & 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 Modulation Index in FM & Modulating Frequency. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
  • Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
  • Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
  • Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
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