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Carrier Frequency Formula

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Carrier Frequency is defined as the frequency of the waveform that is modulated with an information-bearing signal. Check FAQs

f c = \frac{ω m}{2 \cdot π}

f_c - Carrier Frequency?ω_m - Angular Frequency of Modulating Signal?π - Archimedes' constant?

Carrier Frequency Example

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With units

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Here is how the Carrier Frequency equation looks like with Values.

Here is how the Carrier Frequency equation looks like with Units.

Here is how the Carrier Frequency equation looks like.

50.1338 = \frac{315}{2 \cdot 3.1416}

50.1338Hz = \frac{315rad/s}{2 \cdot 3.1416}

50.1338 = \frac{315}{2 \cdot 3.1416}

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Carrier Frequency Solution

Follow our step by step solution on how to calculate Carrier Frequency?

FIRST Step Consider the formula

f c = \frac{ω m}{2 \cdot π}

Next Step Substitute values of Variables

∴

f c = \frac{315rad/s}{2 \cdot π}

Next Step Substitute values of Constants

∴

f c = \frac{315rad/s}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

f c = \frac{315}{2 \cdot 3.1416}

Next Step Evaluate

∴

f c = 50.133807073947Hz

LAST Step Rounding Answer

∴

f c = 50.1338Hz

Carrier Frequency Formula Elements

Variables

Constants

Carrier Frequency

Carrier Frequency is defined as the frequency of the waveform that is modulated with an information-bearing signal.

Symbol: f_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Carrier Frequency

Angular Frequency of Modulating Signal

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.

Symbol: ω_m

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency of Modulating Signal

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Fundamentals of Analog Communications category

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CF = \frac{X peak}{X rms}

Go Transmission Efficiency with respect to Modulation Index

η am = \frac{μ^{2}}{2 + μ^{2}}

Go Intermediate Frequency

f im = (f lo - F RF)

Go Image Frequency

f img = F RF + (2 \cdot f im)

How to Evaluate Carrier Frequency?

Carrier Frequency evaluator uses Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi) to evaluate 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 evaluate Carrier Frequency using this online evaluator? To use this online evaluator for Carrier Frequency, enter Angular Frequency of Modulating Signal (ω_m) and hit the calculate button.

FAQs on Carrier Frequency

What is the formula to find Carrier Frequency?

The formula of Carrier Frequency is expressed as Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi). Here is an example- 50.13381 = 315/(2*pi).

How to calculate Carrier Frequency?

With Angular Frequency of Modulating Signal (ω_m) we can find Carrier Frequency using the formula - Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi). This formula also uses Archimedes' constant .

Can the Carrier Frequency be negative?

No, the Carrier Frequency, measured in Frequency cannot be negative.

Which unit is used to measure Carrier Frequency?

Carrier Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Carrier Frequency can be measured.

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