Transmission Efficiency with respect to Modulation Index Calculator

✖Transmission Efficiency of AM Wave is defined as the ratio of power carried by the sidebands to the total transmitted power.ⓘ Transmission Efficiency with respect to Modulation Index [η_am]

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Transmission Efficiency with respect to Modulation Index

Formula

`"η"_{"am"} = "μ"^2/(2+"μ"^2)`

Example

`"0.060856"=("0.36")^2/(2+("0.36")^2)`

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Transmission Efficiency with respect to Modulation Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)
η_am = μ^2/(2+μ^2)
This formula uses 2 Variables

Variables Used

Transmission Efficiency of AM Wave - Transmission Efficiency of AM Wave is defined as the ratio of power carried by the sidebands to the total transmitted power.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.

STEP 1: Convert Input(s) to Base Unit

Modulation Index: 0.36 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_am = μ^2/(2+μ^2) --> 0.36^2/(2+0.36^2)

Evaluating ... ...

η_am = 0.0608564988730278

STEP 3: Convert Result to Output's Unit

0.0608564988730278 --> No Conversion Required

FINAL ANSWER

0.0608564988730278 ≈ 0.060856 <-- Transmission Efficiency of AM Wave

(Calculation completed in 00.004 seconds)

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< 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

Transmission Efficiency with respect to Modulation Index Formula

Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)
η_am = μ^2/(2+μ^2)

How can Transmission Efficiency be improved?

Improving transmission efficiency often involves using advanced technologies, optimizing system designs, and employing efficient components. It's an important consideration in the design and operation of various systems to ensure that the transmitted energy or information reaches its destination with minimal losses.

How to Calculate Transmission Efficiency with respect to Modulation Index?

Transmission Efficiency with respect to Modulation Index calculator uses Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2) to calculate the Transmission Efficiency of AM Wave, Transmission Efficiency with respect to Modulation index is he ratio of the power in the transmitted signal to the power in the original signal. Transmission Efficiency of AM Wave is denoted by η_am symbol.

How to calculate Transmission Efficiency with respect to Modulation Index using this online calculator? To use this online calculator for Transmission Efficiency with respect to Modulation Index, enter Modulation Index (μ) and hit the calculate button. Here is how the Transmission Efficiency with respect to Modulation Index calculation can be explained with given input values -> 0.060856 = 0.36^2/(2+0.36^2).

FAQ

What is Transmission Efficiency with respect to Modulation Index?

Transmission Efficiency with respect to Modulation index is he ratio of the power in the transmitted signal to the power in the original signal and is represented as η_am = μ^2/(2+μ^2) or Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2). Modulation Index states the level of modulation that a carrier wave undergoes.

How to calculate Transmission Efficiency with respect to Modulation Index?

Transmission Efficiency with respect to Modulation index is he ratio of the power in the transmitted signal to the power in the original signal is calculated using Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2). To calculate Transmission Efficiency with respect to Modulation Index, you need Modulation Index (μ). With our tool, you need to enter the respective value for Modulation Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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