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

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Indian Institute of Technology (IIT), Kanpur
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14 Modulation Techniques Calculators

Bandwidth of Multilevel FSK
Go Bandwidth of Multilevel FSK = Bit Rate*(1+Rolloff Factor)+(2*Difference in Frequency*(Number of Level-1))
Bandwidth of Multilevel PSK
Go Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level)))
Probability Error of BPSK for Raised Cosine Filter
Go Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density))
Bandwidth of FSK
Go Bandwidth of FSK = Bit Rate*(1+Rolloff Factor)+(2*Difference in Frequency)
Bandwidth of ASK given Bit Rate
Go Bandwidth of ASK = (1+Rolloff Factor)*(Bit Rate/Number of Bits)
Rolloff Factor
Go Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1
Bandwidth of Raised Cosine Filter
Go Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period)
Signal Time Period
Go Signal Time Period = (1+Rolloff Factor)/(2*Bandwidth of Raised Cosine Filter)
Probability Error of DPSK
Go Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))
Bandwidth Efficiency in Digital Communication
Go Bandwidth Efficiency = Bit Rate/Signal Bandwidth
Symbol Time
Go Symbol Time = Bit Rate/Bits Conveyed Per Symbol
Baud Rate
Go Baud Rate = Bit Rate/Number of Bits
Sampling Theorem
Go Sampling Frequency = 2*Maximum Frequency
Sampling Period
Go Sampling Period = 1/Sampling Frequency

Bandwidth of Raised Cosine Filter Formula

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