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Bandwidth of Raised Cosine Filter Calculator

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Modulation Techniques Modulation Parameters

✖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.ⓘ Rolloff Factor [α]			+10% -10%
✖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.ⓘ Signal Time Period [T]			+10% -10%

✖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.ⓘ Bandwidth of Raised Cosine Filter [f_b]

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Bandwidth of Raised Cosine Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period)
f_b = (1+α)/(2*T)
This formula uses 3 Variables

Variables Used

Bandwidth of Raised Cosine Filter - (Measured in Bit Per Second) - 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.
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.
Signal Time Period - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Rolloff Factor: 0.5 --> No Conversion Required
Signal Time Period: 7 Microsecond --> 7E-06 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_b = (1+α)/(2*T) --> (1+0.5)/(2*7E-06)

Evaluating ... ...

f_b = 107142.857142857

STEP 3: Convert Result to Output's Unit

107142.857142857 Bit Per Second -->107.142857142857 Kilobit per Second (Check conversion here)

FINAL ANSWER

107.142857142857 ≈ 107.1429 Kilobit per Second <-- Bandwidth of Raised Cosine Filter

(Calculation completed in 00.020 seconds)

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< Modulation Techniques Calculators

Bandwidth of FSK

LaTeX Go Bandwidth of FSK = Bit Rate*(1+Rolloff Factor)+(2*Difference in Frequency)

Bandwidth of Raised Cosine Filter

LaTeX Go Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period)

Symbol Time

LaTeX Go Symbol Time = Bit Rate/Bits Conveyed Per Symbol

Baud Rate

LaTeX Go Baud Rate = Bit Rate/Number of Bits

Bandwidth of Raised Cosine Filter Formula

LaTeX Go

Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period)
f_b = (1+α)/(2*T)

What is raised cosine filter?

The raised-cosine filter is a filter frequently used for pulse-shaping in digital modulation due to its ability to minimize intersymbol interference (ISI). The raised-cosine filter is an implementation of a low-pass Nyquist filter, i.e., one that has the property of vestigial symmetry. This means that its spectrum exhibits odd symmetry about 1/2T, where T is the symbol-period or the time period of the communications system.

How to Calculate Bandwidth of Raised Cosine Filter?

Bandwidth of Raised Cosine Filter calculator uses Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period) to calculate 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 calculate Bandwidth of Raised Cosine Filter using this online calculator? To use this online calculator for Bandwidth of Raised Cosine Filter, enter Rolloff Factor (α) & Signal Time Period (T) and hit the calculate button. Here is how the Bandwidth of Raised Cosine Filter calculation can be explained with given input values -> 0.107143 = (1+0.5)/(2*7E-06).

FAQ

What is 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 and is represented as f_b = (1+α)/(2*T) or Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period). 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 & 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.

How to calculate 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 is calculated using Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period). To calculate Bandwidth of Raised Cosine Filter, you need Rolloff Factor (α) & Signal Time Period (T). With our tool, you need to enter the respective value for Rolloff Factor & Signal Time Period 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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