Modulation Index of FM Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulation Index in FM = Frequency Deviation/Modulating Frequency
β = Δf/fmod
This formula uses 3 Variables
Variables Used
Modulation Index in FM - Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm).
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.
Modulating Frequency - (Measured in Hertz) - Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.
STEP 1: Convert Input(s) to Base Unit
Frequency Deviation: 30 Hertz --> 30 Hertz No Conversion Required
Modulating Frequency: 50 Hertz --> 50 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = Δf/fmod --> 30/50
Evaluating ... ...
β = 0.6
STEP 3: Convert Result to Output's Unit
0.6 --> No Conversion Required
FINAL ANSWER
0.6 <-- Modulation Index in FM
(Calculation completed in 00.004 seconds)

Credits

Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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BMS College of Engineering (BMSCE), Bangalore
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9 Frequency Modulation Calculators

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

Modulation Index of FM Wave Formula

Modulation Index in FM = Frequency Deviation/Modulating Frequency
β = Δf/fmod

How to modulate FM?

To generate a frequency modulated signal, the frequency of the radio carrier is changed in line with the amplitude of the incoming audio signal. When the audio signal is modulated onto the radio frequency carrier, the new radio frequency signal moves up and down in frequency.

How to Calculate Modulation Index of FM Wave?

Modulation Index of FM Wave calculator uses Modulation Index in FM = Frequency Deviation/Modulating Frequency to calculate the Modulation Index in FM, Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm). Modulation Index in FM is denoted by β symbol.

How to calculate Modulation Index of FM Wave using this online calculator? To use this online calculator for Modulation Index of FM Wave, enter Frequency Deviation (Δf) & Modulating Frequency (fmod) and hit the calculate button. Here is how the Modulation Index of FM Wave calculation can be explained with given input values -> 0.6 = 30/50.

FAQ

What is Modulation Index of FM Wave?
Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm) and is represented as β = Δf/fmod or Modulation Index in FM = Frequency Deviation/Modulating Frequency. 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 & Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.
How to calculate Modulation Index of FM Wave?
Modulation Index of FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (fm) is calculated using Modulation Index in FM = Frequency Deviation/Modulating Frequency. To calculate Modulation Index of FM Wave, you need Frequency Deviation (Δf) & Modulating Frequency (fmod). With our tool, you need to enter the respective value for Frequency Deviation & Modulating 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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