Modulation Index with respect to Amplitude Sensitivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
μ = Ka*Am
This formula uses 3 Variables
Variables Used
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Amplitude Sensitivity of Modulator - The Amplitude Sensitivity of Modulator is a constant variable of the modulator.
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.
STEP 1: Convert Input(s) to Base Unit
Amplitude Sensitivity of Modulator: 0.05 --> No Conversion Required
Amplitude of Modulating Signal: 6.12 Volt --> 6.12 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = Ka*Am --> 0.05*6.12
Evaluating ... ...
μ = 0.306
STEP 3: Convert Result to Output's Unit
0.306 --> No Conversion Required
FINAL ANSWER
0.306 <-- Modulation Index
(Calculation completed in 00.020 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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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 Amplitude Sensitivity Formula

​LaTeX ​Go
Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
μ = Ka*Am

How modulation index varies when assigned different 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 with respect to Amplitude Sensitivity?

Modulation Index with respect to Amplitude Sensitivity calculator uses Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal to calculate the Modulation Index, Modulation Index with respect to Amplitude Sensitivity is the absolute value of the product of amplitude sensitivity parameter (Ka) and message signal m(t). Modulation Index is denoted by μ symbol.

How to calculate Modulation Index with respect to Amplitude Sensitivity using this online calculator? To use this online calculator for Modulation Index with respect to Amplitude Sensitivity, enter Amplitude Sensitivity of Modulator (Ka) & Amplitude of Modulating Signal (Am) and hit the calculate button. Here is how the Modulation Index with respect to Amplitude Sensitivity calculation can be explained with given input values -> 0.306 = 0.05*6.12.

FAQ

What is Modulation Index with respect to Amplitude Sensitivity?
Modulation Index with respect to Amplitude Sensitivity is the absolute value of the product of amplitude sensitivity parameter (Ka) and message signal m(t) and is represented as μ = Ka*Am or Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal. The Amplitude Sensitivity of Modulator is a constant variable of the modulator & 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.
How to calculate Modulation Index with respect to Amplitude Sensitivity?
Modulation Index with respect to Amplitude Sensitivity is the absolute value of the product of amplitude sensitivity parameter (Ka) and message signal m(t) is calculated using Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal. To calculate Modulation Index with respect to Amplitude Sensitivity, you need Amplitude Sensitivity of Modulator (Ka) & Amplitude of Modulating Signal (Am). With our tool, you need to enter the respective value for Amplitude Sensitivity of Modulator & Amplitude of Modulating 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 Sensitivity of Modulator & Amplitude of Modulating Signal. 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 = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
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