Two dimensional Q-function

This m-file numerically calculates the value of two dimensional Gaussian Q function.

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Matlab code for calculation of 2d Gaussian Q function.

General description
This m-file provide a numerical computation of two-dimensional Gaussian Q-function, that is
Q(x1,x2,ro)=1/((1/sqrt(2*pi)*(1-ro^2))*int(int(exp(-(x^2+y^2-2roxy)/(2*(1-ro^2))) dxdy

The result may include a very small approximation error.

How to use it
To use the the file in your own program, just download the file and save it in the same path that your file is. You can call the 2d qfunction by:
answer=q2d(x1,x2,ro)
where x1 and x2 are the limit of the integrals and ro is the correlation coefficient.

Example:
>> q2d(-1.2,.3,.4)

ans =

0.3671

>>

Cite As

Hassan Moradi (2026). Two dimensional Q-function (https://se.mathworks.com/matlabcentral/fileexchange/28480-two-dimensional-q-function), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.3.0.0

Adding some comments and an example.

1.0.0.0