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 = (Amax-Amin)/(Amax+Amin)
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 = (Amax-Amin)/(Amax+Amin) --> (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 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

24 Fundamentals of Analog Communications Calculators

Modulation Index with respect to Maximum and Minimum Amplitude
Go Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
Image Rejection Ratio
Go Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)
Phase Constant of Distortion Less Line
Go Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)
Quality Factor of Tuned Circuit
Go Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance
Modulation Index with respect to Power
Go Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
Cyclic Frequency of Superheterodyne Receiver
Go Cyclic Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Rejection Ratio
Go Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2))
Image Frequency Rejection Ratio of Superheterodyne Receiver
Go Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)
Phase Velocity of Distortion Less Line
Go Phase Velocity of Distortion Less Line = 1/sqrt(Inductance*Capacitance)
Amplitude of Carrier Signal
Go Amplitude of Carrier Signal = (Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)/2
Modulation Index with respect to Amplitude Sensitivity
Go Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
Maximum Amplitude
Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)
Minimum Amplitude
Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
Intermediate Frequency
Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)
Transmission Efficiency with respect to Modulation Index
Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)
Modulation Index
Go Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
Bandwidth of Tuned Circuit
Go Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit
Deviation Ratio
Go Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency
Image Frequency
Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)
Carrier Frequency
Go Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)
Carrier Power
Go Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)
Crest Factor
Go Crest Factor = Peak Value of Signal /RMS Value of Signal
Figure of Merit of Superheterodyne Receiver
Go Figure of Merit = 1/Noise Figure
Noise Figure of Superheterodyne Receiver
Go Noise Figure = 1/Figure of Merit

Modulation Index with respect to Maximum and Minimum Amplitude Formula

Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
μ = (Amax-Amin)/(Amax+Amin)

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 (Amax) & Minimum Amplitude of AM Wave (Amin) 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 = (Amax-Amin)/(Amax+Amin) 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 (Amax) & Minimum Amplitude of AM Wave (Amin). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!