Modulation Index Calculator

✖Amplitude of Modulating Signal is the maximum displacement of the signal from its equilibrium or rest position, measured in units of the original signal amplitude.ⓘ Amplitude of Modulating Signal [A_m]			+10% -10%
✖Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.ⓘ Amplitude of Carrier Signal [A_c]			+10% -10%

✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index [μ]

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Modulation Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
μ = A_m/A_c
This formula uses 3 Variables

Variables Used

Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Amplitude of Modulating Signal - (Measured in Volt) - Amplitude of Modulating Signal is the maximum displacement of the signal from its equilibrium or rest position, measured in units of the original signal amplitude.
Amplitude of Carrier Signal - (Measured in Volt) - Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Modulating Signal: 6.12 Volt --> 6.12 Volt No Conversion Required
Amplitude of Carrier Signal: 17 Volt --> 17 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = A_m/A_c --> 6.12/17

Evaluating ... ...

μ = 0.36

STEP 3: Convert Result to Output's Unit

0.36 --> No Conversion Required

FINAL ANSWER

0.36 <-- Modulation Index

(Calculation completed in 00.004 seconds)

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< Fundamentals of Analog Communications Calculators

Intermediate Frequency

LaTeX Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)

Transmission Efficiency with respect to Modulation Index

LaTeX Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)

Image Frequency

LaTeX Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)

Crest Factor

LaTeX Go Crest Factor = Peak Value of Signal/RMS Value of Signal

Modulation Index Formula

LaTeX Go

Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
μ = A_m/A_c

How modulation index varies when given some values to it?

The modulation index or modulation depth is often denoted in percentage called as Percentage of Modulation. We will get the percentage of modulation, just by multiplying the modulation index value with 100.
For a perfect modulation, the value of modulation index should be 1, which implies the percentage of modulation should be 100%.
For instance, if this value is less than 1, i.e., the modulation index is 0.5, then the modulated output would have peak changes after some gaps. It is called as Under-modulation. Such a wave is called as an under-modulated wave.
If the value of the modulation index is greater than 1, i.e., 1.5 or so, then the wave will be an over-modulated wave. The output experiences a phase reversal.

How to Calculate Modulation Index?

Modulation Index calculator uses Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal to calculate the Modulation Index, Modulation Index or modulation depth of a modulation scheme describes by how much the modulated variable of the carrier signal varies around its unmodulated level. It is defined differently in each modulation scheme. Modulation Index is denoted by μ symbol.

How to calculate Modulation Index using this online calculator? To use this online calculator for Modulation Index, enter Amplitude of Modulating Signal (A_m) & Amplitude of Carrier Signal (A_c) and hit the calculate button. Here is how the Modulation Index calculation can be explained with given input values -> 0.36 = 6.12/17.

FAQ

What is Modulation Index?

Modulation Index or modulation depth of a modulation scheme describes by how much the modulated variable of the carrier signal varies around its unmodulated level. It is defined differently in each modulation scheme and is represented as μ = A_m/A_c or Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal. Amplitude of Modulating Signal is the maximum displacement of the signal from its equilibrium or rest position, measured in units of the original signal amplitude & Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.

How to calculate Modulation Index?

Modulation Index or modulation depth of a modulation scheme describes by how much the modulated variable of the carrier signal varies around its unmodulated level. It is defined differently in each modulation scheme is calculated using Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal. To calculate Modulation Index, you need Amplitude of Modulating Signal (A_m) & Amplitude of Carrier Signal (A_c). With our tool, you need to enter the respective value for Amplitude of Modulating Signal & Amplitude of Carrier Signal 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 Modulation Index?

In this formula, Modulation Index uses Amplitude of Modulating Signal & Amplitude of Carrier Signal. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)

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