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Probability Error of DPSK Calculator

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Modulation Techniques Modulation Parameters

✖Energy per Bit is defined as the energy of each transmitted bit of the modulated signal.ⓘ Energy per Bit [ε_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 DPSK modulation occurs in distributed beam forming with phase errors.ⓘ Probability Error of DPSK [e_DPSK]

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Probability Error of DPSK Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

Evaluating ... ...

e_DPSK = 0.49999999999725

STEP 3: Convert Result to Output's Unit

0.49999999999725 --> No Conversion Required

FINAL ANSWER

0.49999999999725 ≈ 0.5 <-- Probability Error of DPSK

(Calculation completed in 00.004 seconds)

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Probability Error of DPSK Formula

LaTeX Go

Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))
e_DPSK = (1/2)*e^(-(ε_b/N₀))

What is the difference between PSK and DPSK?

PSK is embedding info in the phase of transmitted signal. DPSK sends the phase differences between BPSK info symbols in order to allow for incoherent demodulation (the phase is not needed but only phase differences needed).

How to Calculate Probability Error of DPSK?

Probability Error of DPSK calculator uses Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density)) to calculate the Probability Error of DPSK, The Probability Error of DPSK modulation occurs in distributed beam forming with phase errors. The error probability of DPSK signal can be calculated semi-analytically. Probability Error of DPSK is denoted by e_DPSK symbol.

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

FAQ

What is Probability Error of DPSK?

The Probability Error of DPSK modulation occurs in distributed beam forming with phase errors. The error probability of DPSK signal can be calculated semi-analytically and is represented as e_DPSK = (1/2)*e^(-(ε_b/N₀)) or Probability Error of DPSK = (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 DPSK?

The Probability Error of DPSK modulation occurs in distributed beam forming with phase errors. The error probability of DPSK signal can be calculated semi-analytically is calculated using Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density)). To calculate Probability Error of DPSK, you need Energy per Bit (ε_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.

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