Carrier Frequency Calculator

✖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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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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Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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BMS College of Engineering (BMSCE), Bangalore

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< Fundamentals of Analog Communications Calculators

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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

Carrier Frequency Formula

LaTeX Go

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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