Bit Rate of Raised Cosine Filter using Rolloff Factor Calculator

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Modulation Parameters

Modulation Techniques

✖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]			+10% -10%
✖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%

✖Bit rate of raised cosine filter is the number of bits that are conveyed or processed per unit of time.ⓘ Bit Rate of Raised Cosine Filter using Rolloff Factor [R_s]

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Formula

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Bit Rate of Raised Cosine Filter using Rolloff Factor

Formula

`"R"_{"s"} = (2*"f"_{"b"})/(1+"α")`

Example

`"142.8533kb/s"=(2*"107.14kb/s")/(1+"0.5")`

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Bit Rate of Raised Cosine Filter using Rolloff Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)
R_s = (2*f_b)/(1+α)
This formula uses 3 Variables

Variables Used

Bit Rate of Raised Cosine Filter - (Measured in Bit Per Second) - Bit rate of raised cosine filter is the number of bits that are conveyed or processed per unit of time.
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.

STEP 1: Convert Input(s) to Base Unit

Bandwidth of Raised Cosine Filter: 107.14 Kilobit per Second --> 107140 Bit Per Second (Check conversion here)
Rolloff Factor: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = (2*f_b)/(1+α) --> (2*107140)/(1+0.5)

Evaluating ... ...

R_s = 142853.333333333

STEP 3: Convert Result to Output's Unit

142853.333333333 Bit Per Second -->142.853333333333 Kilobit per Second (Check conversion here)

FINAL ANSWER

142.853333333333 ≈ 142.8533 Kilobit per Second <-- Bit Rate of Raised Cosine Filter

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< 11 Modulation Parameters Calculators

Quantization Step Size

Go Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels

Bit Rate of Raised Cosine Filter using Rolloff Factor

Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)

Attenuation given Voltage of 2 Signals

Go Attenuation = 20*(log10(Voltage 2/Voltage 1))

Attenuation given Power of 2 Signals

Go Attenuation = 10*(log10(Power 2/Power 1))

Number of Samples

Go Number of Samples = Maximum Frequency/Sampling Frequency

Bit Rate

Go Bit Rate = Sampling Frequency*Bit Depth

Bit Rate of Raised Cosine Filter given Time Period

Go Bit Rate of Raised Cosine Filter = 1/Signal Time Period

Signal to Noise Ratio

Go Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76

Number of Quantization Levels

Go Number of Quantisation Levels = 2^Resolution of ADC

Nyquist Sampling Frequency

Go Sampling Frequency = 2*Message Signal Frequency

Bit Rate using Bit Duration

Go Bit Rate = 1/Bit Duration

Bit Rate of Raised Cosine Filter using Rolloff Factor Formula

Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)
R_s = (2*f_b)/(1+α)

What does raised cosine filter do?

A typical use of raised cosine filtering is to split the filtering between transmitter and receiver. Both transmitter and receiver employ square-root raised cosine filters. The combination of transmitter and receiver filters is a raised cosine filter, which results in minimum ISI.

How to Calculate Bit Rate of Raised Cosine Filter using Rolloff Factor?

Bit Rate of Raised Cosine Filter using Rolloff Factor calculator uses Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor) to calculate the Bit Rate of Raised Cosine Filter, The Bit Rate of Raised Cosine Filter using Rolloff Factor is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another. Bit Rate of Raised Cosine Filter is denoted by R_s symbol.

How to calculate Bit Rate of Raised Cosine Filter using Rolloff Factor using this online calculator? To use this online calculator for Bit Rate of Raised Cosine Filter using Rolloff Factor, enter Bandwidth of Raised Cosine Filter (f_b) & Rolloff Factor (α) and hit the calculate button. Here is how the Bit Rate of Raised Cosine Filter using Rolloff Factor calculation can be explained with given input values -> 0.142853 = (2*107140)/(1+0.5).

FAQ

What is Bit Rate of Raised Cosine Filter using Rolloff Factor?

The Bit Rate of Raised Cosine Filter using Rolloff Factor is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another and is represented as R_s = (2*f_b)/(1+α) or Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor). 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 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.

How to calculate Bit Rate of Raised Cosine Filter using Rolloff Factor?

The Bit Rate of Raised Cosine Filter using Rolloff Factor is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another is calculated using Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor). To calculate Bit Rate of Raised Cosine Filter using Rolloff Factor, you need Bandwidth of Raised Cosine Filter (f_b) & Rolloff Factor (α). With our tool, you need to enter the respective value for Bandwidth of Raised Cosine Filter & Rolloff Factor 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 Bit Rate of Raised Cosine Filter?

In this formula, Bit Rate of Raised Cosine Filter uses Bandwidth of Raised Cosine Filter & Rolloff Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bit Rate of Raised Cosine Filter = 1/Signal Time Period

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