While using Gaussian window for signal truncation, the term 'sqrt(pi)/a' is omitted and simply e^(−π^2t^2 /a^2) is used. Why so?

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Sebastian Zaunseder

Hi Utkarsh,

i suppose you are referring to the term which occurs before the exponential in the definition of the probability density function of a normal distribution?

If yes, this term serves for "amplitude normalization" in the normal distribution. The definition of the Gauss Window bases on the normal distribution but is not the same - it typically does not have the term. As a result the Gauss window should have an amplitude of 1 at its maximum.

Greetings, Sebastian

Fernando Soares Schlindwein

It is just a scaling factor.

Utkarsh Singh

Thank you for the answers :)

Zainab Noori

Gaussian window means exponential function and its not related to the first relation sqrt