Bandwidth of Multilevel PSK Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level)))
BWMPSK = R*((1+α)/(log2(L)))
This formula uses 1 Functions, 4 Variables
Functions Used
log2 - The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n., log2(Number)
Variables Used
Bandwidth of Multilevel PSK - (Measured in Hertz) - Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal.
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.
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.
Number of Level - Number of Level depends on the number of bits of the signal. For example, we can use four different frequencies f1, f2, f3, and f4 to send 2 bits at a time.
STEP 1: Convert Input(s) to Base Unit
Bit Rate: 360 Kilobit per Second --> 360000 Bit Per Second (Check conversion here)
Rolloff Factor: 0.5 --> No Conversion Required
Number of Level: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BWMPSK = R*((1+α)/(log2(L))) --> 360000*((1+0.5)/(log2(3)))
Evaluating ... ...
BWMPSK = 340702.066928587
STEP 3: Convert Result to Output's Unit
340702.066928587 Hertz -->340.702066928587 Kilohertz (Check conversion here)
FINAL ANSWER
340.702066928587 340.7021 Kilohertz <-- Bandwidth of Multilevel PSK
(Calculation completed in 00.004 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 Multilevel PSK Formula

Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level)))
BWMPSK = R*((1+α)/(log2(L)))

What is ASK?

ASK stands for Amplitude Shift Keying. It is also known as On-Off Keying (OOK). Amplitude Shift Keying (ASK) is a type of Amplitude Modulation which represents the binary data in the form of variations in the amplitude of a signal.
Any modulated signal has a high-frequency carrier. The binary signal when ASK modulated gives a zero value for Low input while it gives the carrier output for High input.

How to Calculate Bandwidth of Multilevel PSK?

Bandwidth of Multilevel PSK calculator uses Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))) to calculate the Bandwidth of Multilevel PSK, Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal. The bandwidth of M-PSK is dependent on several factors, including the symbol rate (or symbol period), the modulation scheme, and the spectral efficiency. Bandwidth of Multilevel PSK is denoted by BWMPSK symbol.

How to calculate Bandwidth of Multilevel PSK using this online calculator? To use this online calculator for Bandwidth of Multilevel PSK, enter Bit Rate (R), Rolloff Factor (α) & Number of Level (L) and hit the calculate button. Here is how the Bandwidth of Multilevel PSK calculation can be explained with given input values -> 0.340702 = 360000*((1+0.5)/(log2(3))).

FAQ

What is Bandwidth of Multilevel PSK?
Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal. The bandwidth of M-PSK is dependent on several factors, including the symbol rate (or symbol period), the modulation scheme, and the spectral efficiency and is represented as BWMPSK = R*((1+α)/(log2(L))) or Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))). Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device, 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 & Number of Level depends on the number of bits of the signal. For example, we can use four different frequencies f1, f2, f3, and f4 to send 2 bits at a time.
How to calculate Bandwidth of Multilevel PSK?
Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal. The bandwidth of M-PSK is dependent on several factors, including the symbol rate (or symbol period), the modulation scheme, and the spectral efficiency is calculated using Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))). To calculate Bandwidth of Multilevel PSK, you need Bit Rate (R), Rolloff Factor (α) & Number of Level (L). With our tool, you need to enter the respective value for Bit Rate, Rolloff Factor & Number of Level 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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