Carrier Frequency Calculator

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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖Angular Frequency of Modulating Signal is a measure of how rapidly a signal oscillates or varies with time and is closely related to the frequency of the signal.ⓘ Angular Frequency of Modulating Signal [ω_m]

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✖Carrier Frequency is defined as the frequency of the waveform that is modulated with an information-bearing signal.ⓘ Carrier Frequency [f_c]

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Formula

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Carrier Frequency

Formula

`"f"_{"c"} = "ω"_{"m"}/(2*pi)`

Example

`"50.13381Hz"="315rad/s"/(2*pi)`

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Carrier Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)
f_c = ω_m/(2*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Carrier Frequency - (Measured in Hertz) - Carrier Frequency is defined as the frequency of the waveform that is modulated with an information-bearing signal.
Angular Frequency of Modulating Signal - (Measured in Radian per Second) - Angular Frequency of Modulating Signal is a measure of how rapidly a signal oscillates or varies with time and is closely related to the frequency of the signal.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency of Modulating Signal: 315 Radian per Second --> 315 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c = ω_m/(2*pi) --> 315/(2*pi)

Evaluating ... ...

f_c = 50.133807073947

STEP 3: Convert Result to Output's Unit

50.133807073947 Hertz --> No Conversion Required

FINAL ANSWER

50.133807073947 ≈ 50.13381 Hertz <-- Carrier Frequency

(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

Carrier Frequency Formula

Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)
f_c = ω_m/(2*pi)

Why do we use carrier frequency?

For the transmission of audio signals at distant places, the high frequency carrier waves are used, because these frequency carrier waves travel through space or medium with the speed of light and they are not obstructed by earth's atmosphere. High frequency carrier frequencies are used in RADIO transmission because space is an insulator and one can have electric current in it to magnetise it only if the source contains a RATE OF CHANGE OF VOLTAGE or a varying electric field.

How to Calculate Carrier Frequency?

Carrier Frequency calculator uses Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi) to calculate the Carrier Frequency, Carrier Frequency is the center frequency of a modulated signal, which is the frequency at which the modulating signal is superimposed onto the carrier wave. Carrier Frequency is denoted by f_c symbol.

How to calculate Carrier Frequency using this online calculator? To use this online calculator for Carrier Frequency, enter Angular Frequency of Modulating Signal (ω_m) and hit the calculate button. Here is how the Carrier Frequency calculation can be explained with given input values -> 50.13381 = 315/(2*pi).

FAQ

What is Carrier Frequency?

Carrier Frequency is the center frequency of a modulated signal, which is the frequency at which the modulating signal is superimposed onto the carrier wave and is represented as f_c = ω_m/(2*pi) or Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi). Angular Frequency of Modulating Signal is a measure of how rapidly a signal oscillates or varies with time and is closely related to the frequency of the signal.

How to calculate Carrier Frequency?

Carrier Frequency is the center frequency of a modulated signal, which is the frequency at which the modulating signal is superimposed onto the carrier wave is calculated using Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi). To calculate Carrier Frequency, you need Angular Frequency of Modulating Signal (ω_m). With our tool, you need to enter the respective value for Angular Frequency of Modulating Signal 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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