The Gaussian Function
The following is an example of a two-dimensional Gaussian function.
f(X,Y) = Amplitude x exp( ------------ )
x exp( ------------ )
- X - horizontal location in space
- Y - vertical location in space
- Amplitude - Peak amplitude of Gaussian
- Xo - horizontal midpoint in space
- Yo - vertical midpoint in space
- Rx - horizontal space constant
- Ry - vertical space constant
Note: A Gaussian specified with a sigma (S or standard deviation) typically has an 2*S*S in the denominator of the exponent while a Gaussian specified with a time constant,a, typically has a a*a in the denominator of the exponent.
Click here for a table taken from the above text which describes the relationship between different measures of Gaussian width.
Click here for a table taken from the above text which describes the relationship between the width of a Gaussian function and the width of its Fourier transform
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© 1995 Lance Hahn (email@example.com)