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Bandwidth of Multilevel PSK Formula

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Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal. Check FAQs

BW MPSK = R \cdot (\frac{1 + α}{\log 2 (L)})

BW_MPSK - Bandwidth of Multilevel PSK?R - Bit Rate?α - Rolloff Factor?L - Number of Level?

Bandwidth of Multilevel PSK Example

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With units

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Here is how the Bandwidth of Multilevel PSK equation looks like with Values.

Here is how the Bandwidth of Multilevel PSK equation looks like with Units.

Here is how the Bandwidth of Multilevel PSK equation looks like.

340.7021 = 360 \cdot (\frac{1 + 0.5}{\log 2 (3)})

340.7021kHz = 360kb/s \cdot (\frac{1 + 0.5}{\log 2 (3)})

340.7021 = 360 \cdot (\frac{1 + 0.5}{\log 2 (3)})

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Bandwidth of Multilevel PSK Solution

Follow our step by step solution on how to calculate Bandwidth of Multilevel PSK?

FIRST Step Consider the formula

BW MPSK = R \cdot (\frac{1 + α}{\log 2 (L)})

Next Step Substitute values of Variables

∴

BW MPSK = 360kb/s \cdot (\frac{1 + 0.5}{\log 2 (3)})

Next Step Convert Units

∴

BW MPSK = 360000b/s \cdot (\frac{1 + 0.5}{\log 2 (3)})

Next Step Prepare to Evaluate

∴

BW MPSK = 360000 \cdot (\frac{1 + 0.5}{\log 2 (3)})

Next Step Evaluate

∴

BW MPSK = 340702.066928587Hz

Next Step Convert to Output's Unit

∴

BW MPSK = 340.702066928587kHz

LAST Step Rounding Answer

∴

BW MPSK = 340.7021kHz

Bandwidth of Multilevel PSK Formula Elements

Variables

Functions

Bandwidth of Multilevel PSK

Bandwidth of Multilevel PSK refers to the range of frequencies required to transmit the modulated signal.

Symbol: BW_MPSK

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Bandwidth of Multilevel PSK

Bit Rate

Bit Rate refers to the rate at which bits of information are transmitted or processed in a communication system or digital device.

Symbol: R

Measurement: BandwidthUnit: kb/s

Note: Value should be greater than 0.

Formulas to find Bit Rate

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.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rolloff Factor

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.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Level

log2

The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n.

Syntax: log2(Number)

Other formulas in Modulation Techniques category

Go Symbol Time

T syb = \frac{R}{N}

Go Baud Rate

r = \frac{R}{n b}

Go Bandwidth of Raised Cosine Filter

f b = \frac{1 + α}{2 \cdot T}

Go Bandwidth of FSK

BW FSK = R \cdot (1 + α) + (2 \cdot Δf)

How to Evaluate Bandwidth of Multilevel PSK?

Bandwidth of Multilevel PSK evaluator uses Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))) to evaluate 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 BW_MPSK symbol.

How to evaluate Bandwidth of Multilevel PSK using this online evaluator? To use this online evaluator for Bandwidth of Multilevel PSK, enter Bit Rate (R), Rolloff Factor (α) & Number of Level (L) and hit the calculate button.

FAQs on Bandwidth of Multilevel PSK

What is the formula to find Bandwidth of Multilevel PSK?

The formula of Bandwidth of Multilevel PSK is expressed as Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))). Here is an example- 0.340702 = 360000*((1+0.5)/(log2(3))).

How to calculate Bandwidth of Multilevel PSK?

With Bit Rate (R), Rolloff Factor (α) & Number of Level (L) we can find Bandwidth of Multilevel PSK using the formula - Bandwidth of Multilevel PSK = Bit Rate*((1+Rolloff Factor)/(log2(Number of Level))). This formula also uses Binary Logarithm (log2) function(s).

Can the Bandwidth of Multilevel PSK be negative?

No, the Bandwidth of Multilevel PSK, measured in Frequency cannot be negative.

Which unit is used to measure Bandwidth of Multilevel PSK?

Bandwidth of Multilevel PSK is usually measured using the Kilohertz[kHz] for Frequency. Hertz[kHz], Petahertz[kHz], Terahertz[kHz] are the few other units in which Bandwidth of Multilevel PSK can be measured.

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