Frequency Deviation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message
Δf = Kf*Am(peak)
This formula uses 3 Variables
Variables Used
Frequency Deviation - (Measured in Hertz) - Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency.
Frequency Sensitivity - (Measured in Hertz) - Frequency Sensitivity is the dependence of the critical amplitude of the signal upon its frequency and a resonance between the intrinsic oscillations of a neuron and the signal.
Peak Amplitude of Message - (Measured in Volt) - Peak Amplitude of Message is the maximum positive or negative deviation of a waveform from its zero reference level in a message signal.
STEP 1: Convert Input(s) to Base Unit
Frequency Sensitivity: 0.75 Hertz --> 0.75 Hertz No Conversion Required
Peak Amplitude of Message: 40 Volt --> 40 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δf = Kf*Am(peak) --> 0.75*40
Evaluating ... ...
Δf = 30
STEP 3: Convert Result to Output's Unit
30 Hertz --> No Conversion Required
FINAL ANSWER
30 Hertz <-- Frequency Deviation
(Calculation completed in 00.004 seconds)

Credits

Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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Verified by Vidyashree V
BMS College of Engineering (BMSCE), Bangalore
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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

Frequency Deviation Formula

Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message
Δf = Kf*Am(peak)

What is the effect of frequency deviation?

The frequency deviation when combined to the load flow model makes the DTS more realistic but increases the program execution time and computer space, mainly because the load flow Jacobians become nonsymmetric.

How to Calculate Frequency Deviation?

Frequency Deviation calculator uses Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message to calculate the Frequency Deviation, Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency. Frequency Deviation is denoted by Δf symbol.

How to calculate Frequency Deviation using this online calculator? To use this online calculator for Frequency Deviation, enter Frequency Sensitivity (Kf) & Peak Amplitude of Message (Am(peak)) and hit the calculate button. Here is how the Frequency Deviation calculation can be explained with given input values -> 105 = 0.75*40.

FAQ

What is Frequency Deviation?
Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency and is represented as Δf = Kf*Am(peak) or Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message. Frequency Sensitivity is the dependence of the critical amplitude of the signal upon its frequency and a resonance between the intrinsic oscillations of a neuron and the signal & Peak Amplitude of Message is the maximum positive or negative deviation of a waveform from its zero reference level in a message signal.
How to calculate Frequency Deviation?
Frequency Deviation in FM is defined as the way to describe the difference between the minimum and maximum extent of a frequency modulated signal and the carrier frequency is calculated using Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message. To calculate Frequency Deviation, you need Frequency Sensitivity (Kf) & Peak Amplitude of Message (Am(peak)). With our tool, you need to enter the respective value for Frequency Sensitivity & Peak Amplitude of Message and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Frequency Deviation?
In this formula, Frequency Deviation uses Frequency Sensitivity & Peak Amplitude of Message. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Frequency Deviation = Modulation Index in FM*Modulating Frequency
  • Frequency Deviation = Modulation Index in FM*Modulating Frequency
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