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Probability Error of BPSK for Raised Cosine Filter Formula

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The Probability Error of BPSK modulation occurs in distributed beamforming with phase errors. Check FAQs

e BPSK = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{ε s}{N 0}})

e_BPSK - Probability Error of BPSK?ε_s - Energy per Symbol?N₀ - Noise Density?

Probability Error of BPSK for Raised Cosine Filter Example

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Here is how the Probability Error of BPSK for Raised Cosine Filter equation looks like with Values.

Here is how the Probability Error of BPSK for Raised Cosine Filter equation looks like with Units.

Here is how the Probability Error of BPSK for Raised Cosine Filter equation looks like.

0.5 = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{1.2E-11}{10}})

0.5 = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{1.2E-11J}{10}})

0.5 = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{1.2E-11}{10}})

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Probability Error of BPSK for Raised Cosine Filter Solution

Follow our step by step solution on how to calculate Probability Error of BPSK for Raised Cosine Filter?

FIRST Step Consider the formula

e BPSK = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{ε s}{N 0}})

Next Step Substitute values of Variables

∴

e BPSK = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{1.2E-11J}{10}})

Next Step Prepare to Evaluate

∴

e BPSK = (\frac{1}{2}) \cdot e r f c (\sqrt{\frac{1.2E-11}{10}})

Next Step Evaluate

∴

e BPSK = 0.499999381961277

LAST Step Rounding Answer

∴

e BPSK = 0.5

Probability Error of BPSK for Raised Cosine Filter Formula Elements

Variables

Functions

Probability Error of BPSK

The Probability Error of BPSK modulation occurs in distributed beamforming with phase errors.

Symbol: e_BPSK

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability Error of BPSK

Energy per Symbol

Energy per Symbol is defined as the energy of each transmitted symbol of the modulated signal.

Symbol: ε_s

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy per Symbol

Noise Density

Noise density is defined as the power spectral density of noise or the noise power per unit of bandwidth.

Symbol: N₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Noise Density

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

erfc

The error function is defined as the integral of the normal distribution from 0 to x scaled such that erf(±∞) = ±1. It is an entire function defined for real- and complex-valued numbers.

Syntax: erfc(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 Probability Error of BPSK for Raised Cosine Filter?

Probability Error of BPSK for Raised Cosine Filter evaluator uses Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density)) to evaluate the Probability Error of BPSK, The Probability Error of BPSK for Raised Cosine Filter modulation occurs in distributed beamforming with phase errors. Generation of random BPSK modulated symbols are in +1′s and -1′s. Probability Error of BPSK is denoted by e_BPSK symbol.

How to evaluate Probability Error of BPSK for Raised Cosine Filter using this online evaluator? To use this online evaluator for Probability Error of BPSK for Raised Cosine Filter, enter Energy per Symbol (ε_s) & Noise Density (N₀) and hit the calculate button.

FAQs on Probability Error of BPSK for Raised Cosine Filter

What is the formula to find Probability Error of BPSK for Raised Cosine Filter?

The formula of Probability Error of BPSK for Raised Cosine Filter is expressed as Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density)). Here is an example- 0.499999 = (1/2)*erfc(sqrt(1.2E-11/10)).

How to calculate Probability Error of BPSK for Raised Cosine Filter?

With Energy per Symbol (ε_s) & Noise Density (N₀) we can find Probability Error of BPSK for Raised Cosine Filter using the formula - Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density)). This formula also uses Square Root Function, Error Function function(s).

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Probability Error of BPSK for Raised Cosine Filter Formula

Probability Error of BPSK for Raised Cosine Filter Example

Probability Error of BPSK for Raised Cosine Filter Solution

Probability Error of BPSK for Raised Cosine Filter Formula Elements

Other formulas in Modulation Techniques category

How to Evaluate Probability Error of BPSK for Raised Cosine Filter?

FAQs on Probability Error of BPSK for Raised Cosine Filter

Variable Name