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Bandwidth with respect to Modulation Index of FM Calculator

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✖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]
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-10%
✖Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm).ⓘ Modulation Index in FM [β]
+10%
-10%
✖Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.ⓘ Bandwidth with respect to Modulation Index of FM [BWFM]
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Formula
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Bandwidth with respect to Modulation Index of FM

Formula
`"BW"_{"FM"} = (2*"Δf")*(1+(1/"β"))`

Example
`"160Hz"=(2*"30Hz")*(1+(1/"0.6"))`

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Bandwidth with respect to Modulation Index of FM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
BWFM = (2*Δf)*(1+(1/β))
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.
Modulation Index in FM - Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm).
STEP 1: Convert Input(s) to Base Unit
Frequency Deviation: 30 Hertz --> 30 Hertz No Conversion Required
Modulation Index in FM: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BWFM = (2*Δf)*(1+(1/β)) --> (2*30)*(1+(1/0.6))
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)
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Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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Verified by Vidyashree V
BMS College of Engineering (BMSCE), Bangalore
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Go Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)
Error Vector Magnitude using RMS Voltage
Go Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))
Error Vector Magnitude using Average Power
Go Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)
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)
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Go Carrier Swing = 2*Frequency Deviation

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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
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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
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Go Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency
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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 with respect to Modulation Index of FM Formula

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

How is modulation index related to bandwidth?

The bandwidth of a frequency modulated signal varies with both deviation and modulating frequency. Increasing modulating frequency increases the frequency separation between sidebands. Increasing modulating frequency for a given level of deviation reduces modulation index.

How to Calculate Bandwidth with respect to Modulation Index of FM?

Bandwidth with respect to Modulation Index of FM calculator uses Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)) to calculate the Bandwidth of FM Wave, Bandwidth with respect to Modulation Index of FM is the range of frequencies that it occupies. It is determined by the modulation index, which is the ratio of the frequency deviation to the modulating frequency. Bandwidth of FM Wave is denoted by BWFM symbol.

How to calculate Bandwidth with respect to Modulation Index of FM using this online calculator? To use this online calculator for Bandwidth with respect to Modulation Index of FM, enter Frequency Deviation (Δf) & Modulation Index in FM (β) and hit the calculate button. Here is how the Bandwidth with respect to Modulation Index of FM calculation can be explained with given input values -> 160 = (2*30)*(1+(1/0.6)).

FAQ

What is Bandwidth with respect to Modulation Index of FM?
Bandwidth with respect to Modulation Index of FM is the range of frequencies that it occupies. It is determined by the modulation index, which is the ratio of the frequency deviation to the modulating frequency and is represented as BWFM = (2*Δf)*(1+(1/β)) or Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)). 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 & Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm).
How to calculate Bandwidth with respect to Modulation Index of FM?
Bandwidth with respect to Modulation Index of FM is the range of frequencies that it occupies. It is determined by the modulation index, which is the ratio of the frequency deviation to the modulating frequency is calculated using Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)). To calculate Bandwidth with respect to Modulation Index of FM, you need Frequency Deviation (Δf) & Modulation Index in FM (β). With our tool, you need to enter the respective value for Frequency Deviation & Modulation Index in FM 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 & Modulation Index in FM. 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*(1+Modulation Index in FM)*Modulating Frequency
  • Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
  • Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
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