Average Total Power of AM Wave Calculator

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Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Carrier Power is the power dissipated by a carrier modulating wave.ⓘ Carrier Power [P_c]			+10% -10%
✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index [μ]			+10% -10%

✖Total Power is the amount of energy liberated per second in an analog signal.ⓘ Average Total Power of AM Wave [P_t]

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Formula

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Average Total Power of AM Wave

Formula

`"P"_{"t"} = "P"_{"c"}*(1+("μ"^2)/2)`

Example

`"1.230909W"="1.156W"*(1+(("0.36")^2)/2)`

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Download Amplitude Modulation Characteristics Formulas PDF

Average Total Power of AM Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = Carrier Power*(1+(Modulation Index^2)/2)
P_t = P_c*(1+(μ^2)/2)
This formula uses 3 Variables

Variables Used

Total Power - (Measured in Watt) - Total Power is the amount of energy liberated per second in an analog signal.
Carrier Power - (Measured in Watt) - Carrier Power is the power dissipated by a carrier modulating wave.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.

STEP 1: Convert Input(s) to Base Unit

Carrier Power: 1.156 Watt --> 1.156 Watt No Conversion Required
Modulation Index: 0.36 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = P_c*(1+(μ^2)/2) --> 1.156*(1+(0.36^2)/2)

Evaluating ... ...

P_t = 1.2309088

STEP 3: Convert Result to Output's Unit

1.2309088 Watt --> No Conversion Required

FINAL ANSWER

1.2309088 ≈ 1.230909 Watt <-- Total Power

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< 18 Amplitude Modulation Characteristics Calculators

Pre Detection Signal to Noise Ratio of AM

Go Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)

Post Detection Signal to Noise Ratio of AM

Go Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)

Coupling Factor of AM Receiver

Go Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)

Phase Deviation of AM Receiver

Go Phase Deviation = Proportionality Constant*Amplitude of Modulating Signal*Modulating Signal Frequency

Quality Factor of AM Receiver

Go Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)

Total Current of AM Wave

Go Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))

Total Power of AM wave

Go Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power

Magnitude of Modulating Signal

Go Modulating Signal Magnitude = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/2

Maximum Amplitude of AM Wave

Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Minimum Amplitude of AM Wave

Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)

Amplitude of Each Sideband

Go Amplitude of each Sideband = (Modulation Index*Amplitude of Carrier Signal)/2

Image Frequency Bandwidth of AM Receiver

Go Image Frequency Bandwidth = Radio Frequency Bandwidth/Bandwidth Improvement

Radio Frequency Bandwidth of AM Receiver

Go Radio Frequency Bandwidth = Bandwidth Improvement*Image Frequency Bandwidth

Bandwidth Improvement of AM Receiver

Go Bandwidth Improvement = Radio Frequency Bandwidth/Image Frequency Bandwidth

Local Oscillation Frequency of AM Receiver

Go Local Oscillation Frequency = Radio Frequency+Intermediate Frequency

Average Total Power of AM Wave

Go Total Power = Carrier Power*(1+(Modulation Index^2)/2)

Amplitude Sensitivity of Modulator

Go Amplitude Sensitivity of Modulator = 1/Amplitude of Carrier Signal

Bandwidth of AM wave

Go Bandwidth of AM Wave = 2*Maximum Frequency

Average Total Power of AM Wave Formula

Total Power = Carrier Power*(1+(Modulation Index^2)/2)
P_t = P_c*(1+(μ^2)/2)

What do we observe from the power relation of AM wave?

We can observe from the expression of AM wave that the carrier component of the amplitude modulated wave has the same amplitude as unmodulated carrier.
In addition to carrier component , the modulated wave consists of two sideband components. It means that the modulated wave contains more power than the unmodulated carrier.
However, since the amplitudes of two sidebands depend upon the modulation index, it may be anticipated that the total power of the amplitude modulated wave would depend upon the modulation index also. In this section, we shall find the power contents of the carrier and the sidebands.

How to Calculate Average Total Power of AM Wave?

Average Total Power of AM Wave calculator uses Total Power = Carrier Power*(1+(Modulation Index^2)/2) to calculate the Total Power, The Average total power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components. Total Power is denoted by P_t symbol.

How to calculate Average Total Power of AM Wave using this online calculator? To use this online calculator for Average Total Power of AM Wave, enter Carrier Power (P_c) & Modulation Index (μ) and hit the calculate button. Here is how the Average Total Power of AM Wave calculation can be explained with given input values -> 1.230909 = 1.156*(1+(0.36^2)/2).

FAQ

What is Average Total Power of AM Wave?

The Average total power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components and is represented as P_t = P_c*(1+(μ^2)/2) or Total Power = Carrier Power*(1+(Modulation Index^2)/2). Carrier Power is the power dissipated by a carrier modulating wave & Modulation Index states the level of modulation that a carrier wave undergoes.

How to calculate Average Total Power of AM Wave?

The Average total power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components is calculated using Total Power = Carrier Power*(1+(Modulation Index^2)/2). To calculate Average Total Power of AM Wave, you need Carrier Power (P_c) & Modulation Index (μ). With our tool, you need to enter the respective value for Carrier Power & Modulation Index 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 Total Power?

In this formula, Total Power uses Carrier Power & Modulation Index. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power

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