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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.ⓘ Amplitude of Carrier Signal [A_c]			+10% -10%
✖Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.ⓘ Resistance [R]			+10% -10%

✖Carrier Power is the power dissipated by a carrier modulating wave.ⓘ Carrier Power [P_c]

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Formula

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Carrier Power

Formula

`"P"_{"c"} = ("A"_{"c"}^2)/(2*"R")`

Example

`"1.153693W"=(("17V")^2)/(2*"125.25Ω")`

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Carrier Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)
P_c = (A_c^2)/(2*R)
This formula uses 3 Variables

Variables Used

Carrier Power - (Measured in Watt) - Carrier Power is the power dissipated by a carrier modulating wave.
Amplitude of Carrier Signal - (Measured in Volt) - Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.
Resistance - (Measured in Ohm) - Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Carrier Signal: 17 Volt --> 17 Volt No Conversion Required
Resistance: 125.25 Ohm --> 125.25 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = (A_c^2)/(2*R) --> (17^2)/(2*125.25)

Evaluating ... ...

P_c = 1.15369261477046

STEP 3: Convert Result to Output's Unit

1.15369261477046 Watt --> No Conversion Required

FINAL ANSWER

1.15369261477046 ≈ 1.153693 Watt <-- Carrier Power

(Calculation completed in 00.006 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

Carrier Power Formula

Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)
P_c = (A_c^2)/(2*R)

How essential is composing of Carrier Power?

Balancing carrier power is essential for efficient and reliable communication. Too much power can lead to interference, waste energy, and potentially damage equipment, while too little power may result in poor signal quality and limited coverage. As a result, carrier power is carefully managed and controlled in communication systems.

How to Calculate Carrier Power?

Carrier Power calculator uses Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance) to calculate the Carrier Power, Carrier Power is the power dissipated by a carrier modulating wave during the process of modulation. Carrier Power is denoted by P_c symbol.

How to calculate Carrier Power using this online calculator? To use this online calculator for Carrier Power, enter Amplitude of Carrier Signal (A_c) & Resistance (R) and hit the calculate button. Here is how the Carrier Power calculation can be explained with given input values -> 1.156 = (17^2)/(2*125.25).

FAQ

What is Carrier Power?

Carrier Power is the power dissipated by a carrier modulating wave during the process of modulation and is represented as P_c = (A_c^2)/(2*R) or Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance). Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted & Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.

How to calculate Carrier Power?

Carrier Power is the power dissipated by a carrier modulating wave during the process of modulation is calculated using Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance). To calculate Carrier Power, you need Amplitude of Carrier Signal (A_c) & Resistance (R). With our tool, you need to enter the respective value for Amplitude of Carrier Signal & Resistance 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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