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Bandwidth with respect to Modulation Index of FM Formula

GoBandwidth of FM by Carson Rule with Beta Formula

GoBandwidth of FM wave by Carson Rule Formula

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Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency. Check FAQs

BW FM = (2 \cdot Δf) \cdot (1 + (\frac{1}{β}))

BW_FM - Bandwidth of FM Wave?Δf - Frequency Deviation?β - Modulation Index in FM?

Bandwidth with respect to Modulation Index of FM Example

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Here is how the Bandwidth with respect to Modulation Index of FM equation looks like with Values.

Here is how the Bandwidth with respect to Modulation Index of FM equation looks like with Units.

Here is how the Bandwidth with respect to Modulation Index of FM equation looks like.

160 = (2 \cdot 30) \cdot (1 + (\frac{1}{0.6}))

160Hz = (2 \cdot 30Hz) \cdot (1 + (\frac{1}{0.6}))

160 = (2 \cdot 30) \cdot (1 + (\frac{1}{0.6}))

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Bandwidth with respect to Modulation Index of FM Solution

Follow our step by step solution on how to calculate Bandwidth with respect to Modulation Index of FM?

FIRST Step Consider the formula

BW FM = (2 \cdot Δf) \cdot (1 + (\frac{1}{β}))

Next Step Substitute values of Variables

∴

BW FM = (2 \cdot 30Hz) \cdot (1 + (\frac{1}{0.6}))

Next Step Prepare to Evaluate

∴

BW FM = (2 \cdot 30) \cdot (1 + (\frac{1}{0.6}))

LAST Step Evaluate

∴

BW FM = 160Hz

Bandwidth with respect to Modulation Index of FM Formula Elements

Variables

Bandwidth of FM Wave

Bandwidth of FM Wave is twice the sum of modulation index multiplied with modulation frequency.

Symbol: BW_FM

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Bandwidth of FM Wave

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.

Symbol: Δf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency Deviation

Modulation Index in FM

Modulation Index in FM Wave is the ratio of frequency deviation (Δf) to the modulating frequency (f_m).

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modulation Index in FM

Other Formulas to find Bandwidth of FM Wave

Go Bandwidth of FM by Carson Rule with Beta

BW FM = 2 \cdot (1 + β) \cdot f mod

Go Bandwidth of FM wave by Carson Rule

BW FM = 2 \cdot (Δf + f mod)

Other formulas in Frequency Modulation category

Go Bandwidth in DSB-SC

BW DSB = 2 \cdot f m-DSB

Go Bandwidth of VSB

BW VSB = f m-DSB + f v-DSB

Go Pre Detection Signal to Noise Ratio

SNR pre = \frac{{A DSB}^{2} \cdot P DSB-SC}{2 \cdot N 0-DSB \cdot BW t-DSB}

Go Transmitted Power of DSB-SC

P t-DSB = P U-DSB + P L-DSB

How to Evaluate Bandwidth with respect to Modulation Index of FM?

Bandwidth with respect to Modulation Index of FM evaluator uses Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)) to evaluate the Bandwidth of FM Wave, Bandwidth with respect to Modulation Index of FM is the range of frequencies that it occupies. It is determined by the modulation index, which is the ratio of the frequency deviation to the modulating frequency. Bandwidth of FM Wave is denoted by BW_FM symbol.

How to evaluate Bandwidth with respect to Modulation Index of FM using this online evaluator? To use this online evaluator for Bandwidth with respect to Modulation Index of FM, enter Frequency Deviation (Δf) & Modulation Index in FM (β) and hit the calculate button.

FAQs on Bandwidth with respect to Modulation Index of FM

What is the formula to find Bandwidth with respect to Modulation Index of FM?

The formula of Bandwidth with respect to Modulation Index of FM is expressed as Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)). Here is an example- 160 = (2*30)*(1+(1/0.6)).

How to calculate Bandwidth with respect to Modulation Index of FM?

With Frequency Deviation (Δf) & Modulation Index in FM (β) we can find Bandwidth with respect to Modulation Index of FM using the formula - Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM)).

What are the other ways to Calculate Bandwidth of FM Wave?

Here are the different ways to Calculate Bandwidth of FM Wave-

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

Can the Bandwidth with respect to Modulation Index of FM be negative?

No, the Bandwidth with respect to Modulation Index of FM, measured in Frequency cannot be negative.

Which unit is used to measure Bandwidth with respect to Modulation Index of FM?

Bandwidth with respect to Modulation Index of FM is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Bandwidth with respect to Modulation Index of FM can be measured.

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Bandwidth with respect to Modulation Index of FM Formula

​GoBandwidth of FM by Carson Rule with Beta Formula

​GoBandwidth of FM wave by Carson Rule Formula

Bandwidth with respect to Modulation Index of FM Example

Bandwidth with respect to Modulation Index of FM Solution

Bandwidth with respect to Modulation Index of FM Formula Elements

Other Formulas to find Bandwidth of FM Wave

Other formulas in Frequency Modulation category

How to Evaluate Bandwidth with respect to Modulation Index of FM?

FAQs on Bandwidth with respect to Modulation Index of FM

Variable Name

GoBandwidth of FM by Carson Rule with Beta Formula

GoBandwidth of FM wave by Carson Rule Formula