Bandwidth of FM by Carson Rule with Beta Calculator

✖Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).ⓘ Modulation Index in FM [β]			+10% -10%
✖Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.ⓘ Modulating Frequency [f_mod]			+10% -10%

✖Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.ⓘ Bandwidth of FM by Carson Rule with Beta [BW_FM]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Analog Communications Formula PDF PDF Image

Bandwidth of FM by Carson Rule with Beta Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
BW_FM = 2*(1+β)*f_mod
This formula uses 3 Variables

Variables Used

Bandwidth of FM Wave - (Measured in Hertz) - Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.
Modulation Index in FM - Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).
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

Modulation Index in FM: 0.6 --> No Conversion Required
Modulating Frequency: 50 Hertz --> 50 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BW_FM = 2*(1+β)*f_mod --> 2*(1+0.6)*50

Evaluating ... ...

BW_FM = 160

STEP 3: Convert Result to Output's Unit

160 Hertz --> No Conversion Required

FINAL ANSWER

160 Hertz <-- Bandwidth of FM Wave

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics » Analog Communications » Frequency Modulation » Bandwidth of FM by Carson Rule with Beta

Credits

Created by Shashank

Nitte Meenakshi Institute of Technology (NMIT), Bangalore

Shashank has created this Calculator and 9 more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has verified this Calculator and 50+ more calculators!

< Frequency Modulation Calculators

Bandwidth with respect to Modulation Index of FM

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

Frequency Deviation

LaTeX Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

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

Frequency Deviation provided Modulation Index

LaTeX Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

< Sideband and Frequency Modulation Calculators

Pre Detection Signal to Noise Ratio

LaTeX 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)

Transmitted Power of DSB-SC

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

Bandwidth of VSB

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

Bandwidth in DSB-SC

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

Bandwidth of FM by Carson Rule with Beta Formula

LaTeX Go

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

What is Carson's rule?

Carson's Rule defines the approximate modulation bandwidth required for a carrier signal that is frequency-modulated by a spectrum of frequencies rather than a single frequency.

How to Calculate Bandwidth of FM by Carson Rule with Beta?

Bandwidth of FM by Carson Rule with Beta calculator uses Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency to calculate the Bandwidth of FM Wave, The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data. Bandwidth of FM Wave is denoted by BW_FM symbol.

How to calculate Bandwidth of FM by Carson Rule with Beta using this online calculator? To use this online calculator for Bandwidth of FM by Carson Rule with Beta, enter Modulation Index in FM (β) & Modulating Frequency (f_mod) and hit the calculate button. Here is how the Bandwidth of FM by Carson Rule with Beta calculation can be explained with given input values -> 160 = 2*(1+0.6)*50.

FAQ

What is Bandwidth of FM by Carson Rule with Beta?

The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data and is represented as BW_FM = 2*(1+β)*f_mod or Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency. Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m) & Modulating Frequency is the encoding of information in a carrier wave by changing the instantaneous frequency of the wave.

How to calculate Bandwidth of FM by Carson Rule with Beta?

The Bandwidth of FM by Carson rule with beta is the total range of frequencies required to pass a specific signal that has been modulated to carry data without distortion or loss of data is calculated using Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency. To calculate Bandwidth of FM by Carson Rule with Beta, you need Modulation Index in FM (β) & Modulating Frequency (f_mod). With our tool, you need to enter the respective value for Modulation Index in FM & Modulating Frequency 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 Bandwidth of FM Wave?

In this formula, Bandwidth of FM Wave uses Modulation Index in FM & Modulating Frequency. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search