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Rolloff Factor Formula

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Rolloff factor is a parameter used in signal processing and telecommunications to describe the rate at which the magnitude or power of a signal decreases outside the desired bandwidth. Check FAQs

α = (\frac{BW ASK \cdot n b}{R}) - 1

α - Rolloff Factor?BW_ASK - Bandwidth of ASK?n_b - Number of Bits?R - Bit Rate?

Rolloff Factor Example

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With units

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Here is how the Rolloff Factor equation looks like with Values.

Here is how the Rolloff Factor equation looks like with Units.

Here is how the Rolloff Factor equation looks like.

0.5 = (\frac{33.75 \cdot 16}{360}) - 1

0.5 = (\frac{33.75kHz \cdot 16}{360kb/s}) - 1

0.5 = (\frac{33.75 \cdot 16}{360}) - 1

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Rolloff Factor Solution

Follow our step by step solution on how to calculate Rolloff Factor?

FIRST Step Consider the formula

α = (\frac{BW ASK \cdot n b}{R}) - 1

Next Step Substitute values of Variables

∴

α = (\frac{33.75kHz \cdot 16}{360kb/s}) - 1

Next Step Convert Units

∴

α = (\frac{33750Hz \cdot 16}{360000b/s}) - 1

Next Step Prepare to Evaluate

∴

α = (\frac{33750 \cdot 16}{360000}) - 1

LAST Step Evaluate

∴

α = 0.5

Rolloff Factor Formula Elements

Variables

Rolloff Factor

Rolloff factor is a parameter used in signal processing and telecommunications to describe the rate at which the magnitude or power of a signal decreases outside the desired bandwidth.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rolloff Factor

Bandwidth of ASK

Bandwidth of ASK is defined as the maximum data transfer rate of a network or Internet connection. It measures how much data can be sent over a specific connection in a given amount of time.

Symbol: BW_ASK

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Bandwidth of ASK

Number of Bits

Number of Bits refers to the quantity or count of binary digits, known as bits, used to represent or encode information in a digital system.

Symbol: n_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bits

Bit Rate

Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device.

Symbol: R

Measurement: BandwidthUnit: kb/s

Note: Value should be greater than 0.

Formulas to find Bit Rate

Other formulas in Modulation Techniques category

Go Symbol Time

T syb = \frac{R}{N}

Go Baud Rate

r = \frac{R}{n b}

Go Bandwidth of Raised Cosine Filter

f b = \frac{1 + α}{2 \cdot T}

Go Bandwidth of FSK

BW FSK = R \cdot (1 + α) + (2 \cdot Δf)

How to Evaluate Rolloff Factor?

Rolloff Factor evaluator uses Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1 to evaluate the Rolloff Factor, Rolloff Factor is a parameter used in signal processing and telecommunications to describe the rate at which the magnitude or power of a signal decreases outside the desired bandwidth. It is commonly used in the design and analysis of filters and modulation techniques. Rolloff Factor is denoted by α symbol.

How to evaluate Rolloff Factor using this online evaluator? To use this online evaluator for Rolloff Factor, enter Bandwidth of ASK (BW_ASK), Number of Bits (n_b) & Bit Rate (R) and hit the calculate button.

FAQs on Rolloff Factor

What is the formula to find Rolloff Factor?

The formula of Rolloff Factor is expressed as Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1. Here is an example- 0.5 = ((33750*16)/360000)-1.

How to calculate Rolloff Factor?

With Bandwidth of ASK (BW_ASK), Number of Bits (n_b) & Bit Rate (R) we can find Rolloff Factor using the formula - Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1.

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Rolloff Factor Formula

Rolloff Factor Example

Rolloff Factor Solution

Rolloff Factor Formula Elements

Other formulas in Modulation Techniques category

How to Evaluate Rolloff Factor?

FAQs on Rolloff Factor

Variable Name