Modulation Index with respect to Power Calculator

✖The Average Total Power of AM Wave is the sum of the carrier power and sideband power.ⓘ Average Total Power of AM Wave [P_T]			+10% -10%
✖Average Carrier Power of AM Wave is the average power supplied to the antenna transmission line by a transmitter during one radio frequency cycle under conditions of no modulation.ⓘ Average Carrier Power of AM Wave [P_c(avg)]			+10% -10%

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

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Modulation Index with respect to Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
μ = sqrt(2*((P_T/P_c(avg))-1))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Average Total Power of AM Wave - (Measured in Watt) - The Average Total Power of AM Wave is the sum of the carrier power and sideband power.
Average Carrier Power of AM Wave - (Measured in Watt) - Average Carrier Power of AM Wave is the average power supplied to the antenna transmission line by a transmitter during one radio frequency cycle under conditions of no modulation.

STEP 1: Convert Input(s) to Base Unit

Average Total Power of AM Wave: 4.9 Watt --> 4.9 Watt No Conversion Required
Average Carrier Power of AM Wave: 4.59 Watt --> 4.59 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = sqrt(2*((P_T/P_c(avg))-1)) --> sqrt(2*((4.9/4.59)-1))

Evaluating ... ...

μ = 0.367527213581949

STEP 3: Convert Result to Output's Unit

0.367527213581949 --> No Conversion Required

FINAL ANSWER

0.367527213581949 ≈ 0.367527 <-- 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 with respect to Power Formula

LaTeX Go

Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
μ = sqrt(2*((P_T/P_c(avg))-1))

What is significance of Modulation Index?

The modulation index in amplitude modulation (AM) is significant as it governs the degree of variation in the carrier signal's amplitude in response to the modulating signal. It directly influences signal quality, bandwidth occupancy, and power efficiency.

How to Calculate Modulation Index with respect to Power?

Modulation Index with respect to Power calculator uses Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)) to calculate the Modulation Index, The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1. Modulation Index is denoted by μ symbol.

How to calculate Modulation Index with respect to Power using this online calculator? To use this online calculator for Modulation Index with respect to Power, enter Average Total Power of AM Wave (P_T) & Average Carrier Power of AM Wave (P_c(avg)) and hit the calculate button. Here is how the Modulation Index with respect to Power calculation can be explained with given input values -> 0.367527 = sqrt(2*((4.9/4.59)-1)).

FAQ

What is Modulation Index with respect to Power?

The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1 and is represented as μ = sqrt(2*((P_T/P_c(avg))-1)) or Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). The Average Total Power of AM Wave is the sum of the carrier power and sideband power & Average Carrier Power of AM Wave is the average power supplied to the antenna transmission line by a transmitter during one radio frequency cycle under conditions of no modulation.

How to calculate Modulation Index with respect to Power?

The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1 is calculated using Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). To calculate Modulation Index with respect to Power, you need Average Total Power of AM Wave (P_T) & Average Carrier Power of AM Wave (P_c(avg)). With our tool, you need to enter the respective value for Average Total Power of AM Wave & Average Carrier Power 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 Average Total Power of AM Wave & Average Carrier Power 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 = 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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