Modulation Index of FM Wave 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%

✖Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).ⓘ Modulation Index of FM Wave [β]

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Modulation Index of FM Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulation Index in FM = Frequency Deviation/Modulating Frequency
β = Δf/f_mod
This formula uses 3 Variables

Variables Used

Modulation Index in FM - Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).
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

β = Δf/f_mod --> 30/50

Evaluating ... ...

β = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Modulation Index in FM

(Calculation completed in 00.006 seconds)

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Created by Rachita C

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

Modulation Index of FM Wave Formula

LaTeX Go

Modulation Index in FM = Frequency Deviation/Modulating Frequency
β = Δf/f_mod

How to modulate FM?

To generate a frequency modulated signal, the frequency of the radio carrier is changed in line with the amplitude of the incoming audio signal. When the audio signal is modulated onto the radio frequency carrier, the new radio frequency signal moves up and down in frequency.

How to Calculate Modulation Index of FM Wave?

Modulation Index of FM Wave calculator uses Modulation Index in FM = Frequency Deviation/Modulating Frequency to calculate the Modulation Index in FM, Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm). Modulation Index in FM is denoted by β symbol.

How to calculate Modulation Index of FM Wave using this online calculator? To use this online calculator for Modulation Index of FM Wave, enter Frequency Deviation (Δf) & Modulating Frequency (f_mod) and hit the calculate button. Here is how the Modulation Index of FM Wave calculation can be explained with given input values -> 0.6 = 30/50.

FAQ

What is Modulation Index of FM Wave?

Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm) and is represented as β = Δf/f_mod or Modulation Index in FM = 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 Modulation Index of FM Wave?

Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm) is calculated using Modulation Index in FM = Frequency Deviation/Modulating Frequency. To calculate Modulation Index of FM Wave, 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.

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