Approximations to the delta function on a computer

[onsagerian]

Hi,
I am looking for approximations to the delta functoin which I can use on a computer. Although I will never get an exact delta function, I can make an approximation that it can be improved as much as I like.

Would you help me to find the approximation of the delta function so that I can put it on the computer?

Thanks,
Best regards

 

[Born2bwire]

This doesn't make much sense without any context. A delta function is a distribution. If you are interested in integrating over it then that is simply evaluating the function at the delta function. You can represent them in a Fourier transform as a single point if you use a discrete Fourier transform. Another way to approximate it would be a Guassian function as you take the limit of its width to zero and increase its height accordingly.

 

[Hurkyl]

Convolving with the delta function is built-in to most programming languages -- it's simply plugging 0 into a function.