Probability error of non coherent FSK Calculator

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✖Energy per Bit is defined as the energy of each transmitted bit of the modulated signal.ⓘ Energy per Bit [E_b]			+10% -10%
✖Noise density is defined as the power spectral density of noise or the noise power per unit of bandwidth.ⓘ Noise Density [N₀]			+10% -10%

✖The Probability Error of Coherent FSK modulation occurs in distributed beam forming with phase errors.ⓘ Probability error of non coherent FSK [Pe_FSK]

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Formula

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Probability error of non coherent FSK

Formula

`"Pe"_{"FSK"} = (1/2)*e^(-("E"_{"b"}/"N"_{"0"}))`

Example

`"0.5"=(1/2)*e^(-("55e-12J"/"10"))`

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Probability error of non coherent FSK Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density))
Pe_FSK = (1/2)*e^(-(E_b/N₀))
This formula uses 1 Constants, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Probability Error of Coherent FSK - The Probability Error of Coherent FSK modulation occurs in distributed beam forming with phase errors.
Energy per Bit - (Measured in Joule) - Energy per Bit is defined as the energy of each transmitted bit of the modulated signal.
Noise Density - Noise density is defined as the power spectral density of noise or the noise power per unit of bandwidth.

STEP 1: Convert Input(s) to Base Unit

Energy per Bit: 5.5E-11 Joule --> 5.5E-11 Joule No Conversion Required
Noise Density: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pe_FSK = (1/2)*e^(-(E_b/N₀)) --> (1/2)*e^(-(5.5E-11/10))

Evaluating ... ...

Pe_FSK = 0.49999999999725

STEP 3: Convert Result to Output's Unit

0.49999999999725 --> No Conversion Required

FINAL ANSWER

0.49999999999725 <-- Probability Error of Coherent FSK

(Calculation completed in 00.000 seconds)

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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

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< 12 Modulation Techniques Calculators

Bandwidth of Multilevel FSK

Go Bandwidth of FSK = ((1+Modulation Factor)*Baud Rate)+(Level of FSK-1)*(2*Difference in Frequency)

Probability Error of Coherent FSK

Go Probability Error of Coherent FSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density))

Probability error of BPSK

Go Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density))

Bandwidth of FSK

Go Bandwidth of FSK = ((1+Modulation Factor)*Baud Rate)+(2*Difference in Frequency)

Bandwidth of ASK given Bit Rate

Go Bandwidth of ASK = (1+Modulation Factor)*(Bit Rate/Number of Bits)

Bandwidth of raised cosine filter

Go Bandwidth of Raised Cosine Filter = (1+Rolloff factor)/(2*Time Period of Progressive Wave)

Probability error of non coherent FSK

Go Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density))

Probability error of DPSK

Go Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))

Bandwidth of ASK with respect to Baud Rate

Go Bandwidth of ASK = (1+Modulation Factor)*Baud Rate

Bandwidth of PSK

Go Bandwidth of PSK = (1+Modulation Factor)*Baud Rate

Symbol time

Go Symbol Time = Number of Bits*Bit Time

Baud Rate

Go Baud Rate = Bit Rate/Number of Bits

Probability error of non coherent FSK Formula

Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density))
Pe_FSK = (1/2)*e^(-(E_b/N₀))

What is the working principle of FSK?

FSK is a scheme of frequency modulation. The output of a FSK modulated wave is high in frequency for a binary High input and is low in frequency for a binary Low input. The binary 1s and 0s are called Mark and Space frequencies.

How to Calculate Probability error of non coherent FSK?

Probability error of non coherent FSK calculator uses Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density)) to calculate the Probability Error of Coherent FSK, The Probability error of non coherent FSK modulation occurs in distributed beamforming with phase errors. Probability Error of Coherent FSK is denoted by Pe_FSK symbol.

How to calculate Probability error of non coherent FSK using this online calculator? To use this online calculator for Probability error of non coherent FSK, enter Energy per Bit (E_b) & Noise Density (N₀) and hit the calculate button. Here is how the Probability error of non coherent FSK calculation can be explained with given input values -> 0.5 = (1/2)*e^(-(5.5E-11/10)).

FAQ

What is Probability error of non coherent FSK?

The Probability error of non coherent FSK modulation occurs in distributed beamforming with phase errors and is represented as Pe_FSK = (1/2)*e^(-(E_b/N₀)) or Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density)). Energy per Bit is defined as the energy of each transmitted bit of the modulated signal & Noise density is defined as the power spectral density of noise or the noise power per unit of bandwidth.

How to calculate Probability error of non coherent FSK?

The Probability error of non coherent FSK modulation occurs in distributed beamforming with phase errors is calculated using Probability Error of Coherent FSK = (1/2)*e^(-(Energy per Bit/Noise Density)). To calculate Probability error of non coherent FSK, you need Energy per Bit (E_b) & Noise Density (N₀). With our tool, you need to enter the respective value for Energy per Bit & Noise Density 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 Probability Error of Coherent FSK?

In this formula, Probability Error of Coherent FSK uses Energy per Bit & Noise Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Probability Error of Coherent FSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density))

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