raylpdf

Rayleigh probability density function

Syntax

Y = raylpdf(X,B)


Description

Y = raylpdf(X,B) computes the Rayleigh pdf at each of the values in X using the corresponding scale parameter, B. X and B can be vectors, matrices, or multidimensional arrays that all have the same size, which is also the size of Y. A scalar input for X or B is expanded to a constant array with the same dimensions as the other input.

The Rayleigh pdf is

$$y=f(x|b)=\frac{x}{b^2}{e}^{\left(\frac{-x^2}{2b^2}\right)}$$

Examples

Compute and Plot Rayleigh Distribution pdf

Compute the pdf of a Rayleigh distribution with parameter B = 0.5.

x = [0:0.01:2];
p = raylpdf(x,0.5);

Plot the pdf.

figure;
plot(x,p)

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced before R2006a