Frequency Deviation provided Modulation Index Calculator

✖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%
✖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%

✖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 provided Modulation Index [Δf]

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Frequency Deviation provided Modulation Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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

Δf = β*f_mod --> 0.6*50

Evaluating ... ...

Δf = 30

STEP 3: Convert Result to Output's Unit

30 Hertz --> No Conversion Required

FINAL ANSWER

30 Hertz <-- Frequency Deviation

(Calculation completed in 00.020 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

Frequency Deviation provided Modulation Index Formula

LaTeX Go

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

How does deviation depend on wavelength?

Shorter wavelengths travel more slowly through the prism and hence are further deviated as compared to longer wavelengths. Hence, angle of deviation decreases with increase in wavelength.

How to Calculate Frequency Deviation provided Modulation Index?

Frequency Deviation provided Modulation Index calculator uses Frequency Deviation = Modulation Index in FM*Modulating Frequency to calculate the Frequency Deviation, Frequency Deviation provided Modulation Index is the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency. Frequency Deviation is denoted by Δf symbol.

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

FAQ

What is Frequency Deviation provided Modulation Index?

Frequency Deviation provided Modulation Index is the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency and is represented as Δf = β*f_mod or Frequency Deviation = Modulation Index in FM*Modulating Frequency. Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m) & Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.

How to calculate Frequency Deviation provided Modulation Index?

Frequency Deviation provided Modulation Index is the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency is calculated using Frequency Deviation = Modulation Index in FM*Modulating Frequency. To calculate Frequency Deviation provided Modulation Index, you need Modulation Index in FM (β) & Modulating Frequency (f_mod). 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 Frequency Deviation?

In this formula, Frequency Deviation uses Modulation Index in FM & Modulating Frequency. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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