Bandwidth with respect to Modulation Index of FM 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%
✖Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).ⓘ 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 [BW_FM]

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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))
BW_FM = (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 (f_m).

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

BW_FM = (2*Δf)*(1+(1/β)) --> (2*30)*(1+(1/0.6))

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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< 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 with respect to Modulation Index of FM Formula

LaTeX Go

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

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 3 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

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