Rolloff Factor Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Modulation Techniques

Modulation Parameters

✖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.ⓘ Bandwidth of ASK [BW_ASK]			+10% -10%
✖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.ⓘ Number of Bits [n_b]			+10% -10%
✖Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device.ⓘ Bit Rate [R]			+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]

⎘ Copy

👎

Formula

✖

Rolloff Factor

Formula

`"α" = (("BW"_{"ASK"}*"n"_{"b"})/"R")-1`

Example

`"0.5"=(("33.75kHz"*"16")/"360kb/s")-1`

Calculator

LaTeX

Reset

👍

Download Digital Communication Formulas PDF

Rolloff Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1
α = ((BW_ASK*n_b)/R)-1
This formula uses 4 Variables

Variables Used

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.
Bandwidth of ASK - (Measured in Hertz) - 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.
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.
Bit Rate - (Measured in Bit Per Second) - Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device.

STEP 1: Convert Input(s) to Base Unit

Bandwidth of ASK: 33.75 Kilohertz --> 33750 Hertz (Check conversion here)
Number of Bits: 16 --> No Conversion Required
Bit Rate: 360 Kilobit per Second --> 360000 Bit Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = ((BW_ASK*n_b)/R)-1 --> ((33750*16)/360000)-1

Evaluating ... ...

α = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Rolloff Factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Digital Communication » Modulation Techniques » Rolloff Factor

Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has verified this Calculator and 100+ more calculators!

< 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

Rolloff Factor Formula

Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1
α = ((BW_ASK*n_b)/R)-1

What is PSK?

Phase Shift Keying (PSK) is the digital modulation technique in which the phase of the carrier signal is changed by varying the sine and cosine inputs at a particular time. PSK technique is widely used for wireless LANs, bio-metric, contactless operations, along with RFID and Bluetooth communications.
PSK is of two types, depending upon the phases the signal gets shifted. They are −
BPSK- Binary Phase Shift Keying
QPSK- Quadrature Phase Shift Keying

How to Calculate Rolloff Factor?

Rolloff Factor calculator uses Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1 to calculate 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 calculate Rolloff Factor using this online calculator? To use this online calculator for Rolloff Factor, enter Bandwidth of ASK (BW_ASK), Number of Bits (n_b) & Bit Rate (R) and hit the calculate button. Here is how the Rolloff Factor calculation can be explained with given input values -> 0.5 = ((33750*16)/360000)-1.

FAQ

What is 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 and is represented as α = ((BW_ASK*n_b)/R)-1 or Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1. 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, 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 & Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device.

How to calculate 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 is calculated using Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1. To calculate Rolloff Factor, you need Bandwidth of ASK (BW_ASK), Number of Bits (n_b) & Bit Rate (R). With our tool, you need to enter the respective value for Bandwidth of ASK, Number of Bits & Bit Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search