Modulation Index with respect to Maximum and Minimum Amplitude Calculator

✖The Maximum Amplitude of AM Wave is the maximum amount of displacement of a particle on the medium from its rest position.ⓘ Maximum Amplitude of AM Wave [A_max]			+10% -10%
✖Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.ⓘ Minimum Amplitude of AM Wave [A_min]			+10% -10%

✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index with respect to Maximum and Minimum Amplitude [μ]

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Modulation Index with respect to Maximum and Minimum Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
μ = (A_max-A_min)/(A_max+A_min)
This formula uses 3 Variables

Variables Used

Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Maximum Amplitude of AM Wave - (Measured in Volt) - The Maximum Amplitude of AM Wave is the maximum amount of displacement of a particle on the medium from its rest position.
Minimum Amplitude of AM Wave - (Measured in Volt) - Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.

STEP 1: Convert Input(s) to Base Unit

Maximum Amplitude of AM Wave: 19.2032 Volt --> 19.2032 Volt No Conversion Required
Minimum Amplitude of AM Wave: 14.7968 Volt --> 14.7968 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (A_max-A_min)/(A_max+A_min) --> (19.2032-14.7968)/(19.2032+14.7968)

Evaluating ... ...

μ = 0.1296

STEP 3: Convert Result to Output's Unit

0.1296 --> No Conversion Required

FINAL ANSWER

0.1296 <-- Modulation Index

(Calculation completed in 00.020 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 with respect to Maximum and Minimum Amplitude Formula

LaTeX Go

Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
μ = (A_max-A_min)/(A_max+A_min)

How modulation index varies when it is assigned some values?

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 with respect to Maximum and Minimum Amplitude?

Modulation Index with respect to Maximum and Minimum Amplitude calculator uses Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave) to calculate the Modulation Index, The Modulation Index with respect to Maximum and Minimum Amplitude is a measure of the depth of modulation in an amplitude modulated (AM) wave. Modulation Index is denoted by μ symbol.

How to calculate Modulation Index with respect to Maximum and Minimum Amplitude using this online calculator? To use this online calculator for Modulation Index with respect to Maximum and Minimum Amplitude, enter Maximum Amplitude of AM Wave (A_max) & Minimum Amplitude of AM Wave (A_min) and hit the calculate button. Here is how the Modulation Index with respect to Maximum and Minimum Amplitude calculation can be explained with given input values -> 0.129826 = (19.2032-14.7968)/(19.2032+14.7968).

FAQ

What is Modulation Index with respect to Maximum and Minimum Amplitude?

The Modulation Index with respect to Maximum and Minimum Amplitude is a measure of the depth of modulation in an amplitude modulated (AM) wave and is represented as μ = (A_max-A_min)/(A_max+A_min) or Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave). The Maximum Amplitude of AM Wave is the maximum amount of displacement of a particle on the medium from its rest position & Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.

How to calculate Modulation Index with respect to Maximum and Minimum Amplitude?

The Modulation Index with respect to Maximum and Minimum Amplitude is a measure of the depth of modulation in an amplitude modulated (AM) wave is calculated using Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave). To calculate Modulation Index with respect to Maximum and Minimum Amplitude, you need Maximum Amplitude of AM Wave (A_max) & Minimum Amplitude of AM Wave (A_min). With our tool, you need to enter the respective value for Maximum Amplitude of AM Wave & Minimum Amplitude of AM Wave 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 Maximum Amplitude of AM Wave & Minimum Amplitude of AM Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
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

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