Modulating Frequency Calculator

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✖Angular Frequency 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 [ω]

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✖Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.ⓘ Modulating Frequency [f_mod]

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Formula

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Modulating Frequency

Formula

`"f"_{"mod"} = "ω"/(2*pi)`

Example

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

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Modulating Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulating Frequency = Angular Frequency/(2*pi)
f_mod = ω/(2*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Modulating Frequency - (Measured in Hertz) - Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency 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: 315 Radian per Second --> 315 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_mod = ω/(2*pi) --> 315/(2*pi)

Evaluating ... ...

f_mod = 50.133807073947

STEP 3: Convert Result to Output's Unit

50.133807073947 Hertz --> No Conversion Required

FINAL ANSWER

50.133807073947 ≈ 50.13381 Hertz <-- Modulating Frequency

(Calculation completed in 00.004 seconds)

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Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has created this Calculator and 25+ more calculators!

Verified by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

Vidyashree V has verified this Calculator and 25+ more calculators!

< 12 Frequency Modulation Calculators

Overall Received Signal in Mobile Communication

Go Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)

Error Vector Magnitude using RMS Voltage

Go Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))

Error Vector Magnitude using Average Power

Go Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)

Bandwidth with respect to Modulation Index of FM

Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))

Bandwidth of FM by Carson Rule with Beta

Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency

Frequency Sensitivity

Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message

Frequency Deviation

Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)

Frequency Deviation provided Modulation Index

Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

Modulation Index of FM Wave

Go Modulation Index in FM = Frequency Deviation/Modulating Frequency

Modulating Frequency

Go Modulating Frequency = Angular Frequency/(2*pi)

Carrier Swing

Go Carrier Swing = 2*Frequency Deviation

< 21 Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio

Go Pre Detection SNR of DSB-SC = (Amplitude of Carrier Signal DSB-SC^2*Total Power DSB-SC)/(2*Noise Density DSB-SC*Transmission Bandwidth DSBSC)

Modulating Signal Frequency of FM Receiver

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

Modulating Signal Amplitude of FM Receiver

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

Upper Sideband Power

Go Upper Sideband Power = (Amplitude of Carrier Signal^2*Modulation Index^2)/(8*Resistance)

Lower Sideband Power

Go Lower Sideband Power = Amplitude of Carrier Signal^2*Modulation Index^2/(8*Resistance)

Transmitted Power of DSB-SC

Go Transmitted Power of DSB-SC = Upper Sideband Power in DSB-SC+Lower Sideband Power DSB-SC

Bandwidth with respect to Modulation Index of FM

Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))

Bandwidth of FM by Carson Rule with Beta

Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency

Upper Sideband Frequency

Go Upper Sideband Frequency = (Carrier Frequency+Message Maximum Frequency)

Lower Sideband Frequency

Go Lower Sideband Frequency = (Carrier Frequency-Message Maximum Frequency)

Frequency Sensitivity

Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message

Frequency Deviation

Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)

Frequency Deviation provided Modulation Index

Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

Modulation Index of FM Wave

Go Modulation Index in FM = Frequency Deviation/Modulating Frequency

Bandwidth of VSB

Go Bandwidth of VSB = Maximum Frequency DSB-SC+Vestige Frequency

Upper Sideband Power with respect to Carrier Power

Go Upper Sideband Power = Carrier Power*(Modulation Index^2)/4

Lower Sideband Power with respect to Carrier Power

Go Lower Sideband Power = Carrier Power*(Modulation Index^2)/4

Modulating Frequency

Go Modulating Frequency = Angular Frequency/(2*pi)

Bandwidth in DSB-SC

Go Bandwidth in DSB-SC = 2*Maximum Frequency DSB-SC

Carrier Swing

Go Carrier Swing = 2*Frequency Deviation

Modulating Frequency Formula

Modulating Frequency = Angular Frequency/(2*pi)
f_mod = ω/(2*pi)

Why is modulation necessary?

The strength of the message signal should be increased so that it can travel longer distances. This is where modulation is essential. The most vital need of modulation is to enhance the strength of the signal without affecting the parameters of the carrier signal.

How to Calculate Modulating Frequency?

Modulating Frequency calculator uses Modulating Frequency = Angular Frequency/(2*pi) to calculate the Modulating Frequency, Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave. Modulating Frequency is denoted by f_mod symbol.

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

FAQ

What is Modulating Frequency?

Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave and is represented as f_mod = ω/(2*pi) or Modulating Frequency = Angular Frequency/(2*pi). Angular Frequency 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 Modulating Frequency?

Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave is calculated using Modulating Frequency = Angular Frequency/(2*pi). To calculate Modulating Frequency, you need Angular Frequency (ω). With our tool, you need to enter the respective value for Angular Frequency 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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