Probability Error of DPSK Solution

STEP 0: Pre-Calculation Summary
Formula Used
Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))
eDPSK = (1/2)*e^(-(εb/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
eDPSK = (1/2)*e^(-(εb/N0)) --> (1/2)*e^(-(5.5E-11/10))
Evaluating ... ...
eDPSK = 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)

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

Probability Error of DPSK Formula

Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))
eDPSK = (1/2)*e^(-(εb/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 eDPSK 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 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 eDPSK = (1/2)*e^(-(εb/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 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!