W = output Wigner distribution Ex = Input electric field (MUST be a column vector

Notes: W = Int(-inf..inf){E(x+y)E(x-y)exp[2ixy]} E(x+y) & E(x-y) are calculated via a FFT (fast Fourier transform) using the shift theorem. The integration is performed via a FFT. Thus it is important for the data to satisfy the sampling theorem: dy = 2*pi/X X = span of all x-values dy = y resolution dx = 2*pi/Y Y = span of all y-values dx = x resolution The data must be completely contained within the range x(0)..x(N-1) & y(0)..y(N-1) (i.e. the function must fall to zero within this range).

The pseudo-Wigner distribution function provides space-frequency information from a given image. In this application, image data can be locally analyzed in any desired direction by the use of an sliding 1-D small window. Calculation time is greatly decreased this way, converting the PWD in a real-time image processing tool.

Probability and Statistics for .NET is an useful mathematical tool by which users can work on statistical problems on continuous and discrete data series. This program has statistics module which can be used to calculate standard deviation, mean,...

Method for determining the quality of digital images. An anisotropic measure is used as a metric to assess the quality of images. The method is based on measuring the variance of the expected entropy of a given image upon a set of predefined...

It calculate the arithmetic code of a string of char, subject to an alphabet "A" and a probability distribution "P". http://en.wikipedia.org/wiki/Arithmetic_coding

The program uses a simple algorithm to calculate the deflection at each point of a cantilever beam subjected to arbitrary loading distribution, the program also calculates and plots the bending moment and shear force in the beam.

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There are two issues with the Pearson type IV distribution: (I) the complex gamma function entering the normalization constant in the probability density function (pdf) and (II) the complex Gauss hypergeometric function entering the cumulative...