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## Calculate Wigner distribution

version 1.0.0.0 (1.75 KB) by Adam Wyatt

Calculates the 2D Wigner distribution of a complex function.

Updated 20 Jul 2007

W = mywigner(Ex)

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).

### Cite As

Adam Wyatt (2020). Calculate Wigner distribution (https://www.mathworks.com/matlabcentral/fileexchange/15637-calculate-wigner-distribution), MATLAB Central File Exchange. Retrieved .

wu jia hao

Charles Nelatury

### Charles Nelatury (view profile)

michael scheinfeild

### michael scheinfeild (view profile)

your delay is always half of the signal
the matrix can be too large
for chirp test the max locations should be at phase 2*f*b*t but the max is alwayes at the center

michael scheinfeild

### michael scheinfeild (view profile)

You have to think what you are doing - given data of length N, the Wigner distribution is N^2, so clearly with N=10^5, N^2 = 10^10 - you're not going to ever be able to make such a Wigner distribution.

However, it is possible that you do not need the Wigner distribution over the whole temporal and spectral domains. Unfortunately I have not implemented this yet.

RIPUL Ghosh

### RIPUL Ghosh (view profile)

i am working on seismic data that has a total length of almost 100000 data point.When i am running wigner distribution it is showing 'out of memory'.

VictorF Dios

### VictorF Dios (view profile)

The user has to add a multiplication for incr_x in order to preserve the energy of the signal.

Herliyani Hasanah

Very good

kim ngan tran

ashutosh singh

##### MATLAB Release Compatibility
Created with R2007a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux