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Bandwidth of Raised Cosine Filter Formula

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Bandwidth of raised cosine filter is defined as the most commonly defined as the width of the non-zero frequency-positive portion of its spectrum. Check FAQs

f b = \frac{1 + α}{2 \cdot T}

f_b - Bandwidth of Raised Cosine Filter?α - Rolloff Factor?T - Signal Time Period?

Bandwidth of Raised Cosine Filter Example

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With units

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Here is how the Bandwidth of Raised Cosine Filter equation looks like with Values.

Here is how the Bandwidth of Raised Cosine Filter equation looks like with Units.

Here is how the Bandwidth of Raised Cosine Filter equation looks like.

107.1429 = \frac{1 + 0.5}{2 \cdot 7}

107.1429kb/s = \frac{1 + 0.5}{2 \cdot 7μs}

107.1429 = \frac{1 + 0.5}{2 \cdot 7}

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Bandwidth of Raised Cosine Filter Solution

Follow our step by step solution on how to calculate Bandwidth of Raised Cosine Filter?

FIRST Step Consider the formula

f b = \frac{1 + α}{2 \cdot T}

Next Step Substitute values of Variables

∴

f b = \frac{1 + 0.5}{2 \cdot 7μs}

Next Step Convert Units

∴

f b = \frac{1 + 0.5}{2 \cdot 7E-6s}

Next Step Prepare to Evaluate

∴

f b = \frac{1 + 0.5}{2 \cdot 7E-6}

Next Step Evaluate

∴

f b = 107142.857142857b/s

Next Step Convert to Output's Unit

∴

f b = 107.142857142857kb/s

LAST Step Rounding Answer

∴

f b = 107.1429kb/s

Bandwidth of Raised Cosine Filter Formula Elements

Variables

Bandwidth of Raised Cosine Filter

Bandwidth of raised cosine filter is defined as the most commonly defined as the width of the non-zero frequency-positive portion of its spectrum.

Symbol: f_b

Measurement: BandwidthUnit: kb/s

Note: Value should be greater than 0.

Formulas to find Bandwidth of Raised Cosine Filter

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

Signal Time Period

Signal Time Period refers to the time it takes for a periodic signal to complete one full cycle. It is the duration between successive occurrences of the same point or phase in the signal waveform.

Symbol: T

Measurement: TimeUnit: μs

Note: Value should be greater than 0.

Formulas to find Signal Time Period

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 FSK

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

Go Bandwidth of Multilevel PSK

BW MPSK = R \cdot (\frac{1 + α}{\log 2 (L)})

How to Evaluate Bandwidth of Raised Cosine Filter?

Bandwidth of Raised Cosine Filter evaluator uses Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period) to evaluate the Bandwidth of Raised Cosine Filter, The Bandwidth of Raised Cosine Filter formula is most commonly defined as the width of the non-zero frequency-positive portion of its spectrum. Bandwidth of Raised Cosine Filter is denoted by f_b symbol.

How to evaluate Bandwidth of Raised Cosine Filter using this online evaluator? To use this online evaluator for Bandwidth of Raised Cosine Filter, enter Rolloff Factor (α) & Signal Time Period (T) and hit the calculate button.

FAQs on Bandwidth of Raised Cosine Filter

What is the formula to find Bandwidth of Raised Cosine Filter?

The formula of Bandwidth of Raised Cosine Filter is expressed as Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period). Here is an example- 0.107143 = (1+0.5)/(2*7E-06).

How to calculate Bandwidth of Raised Cosine Filter?

With Rolloff Factor (α) & Signal Time Period (T) we can find Bandwidth of Raised Cosine Filter using the formula - Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period).

Can the Bandwidth of Raised Cosine Filter be negative?

No, the Bandwidth of Raised Cosine Filter, measured in Bandwidth cannot be negative.

Which unit is used to measure Bandwidth of Raised Cosine Filter?

Bandwidth of Raised Cosine Filter is usually measured using the Kilobit per Second[kb/s] for Bandwidth. Bit Per Second[kb/s], Gigabit per Second[kb/s], Byte per Second[kb/s] are the few other units in which Bandwidth of Raised Cosine Filter can be measured.

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