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Function Reference: ricepdf

statistics: y = ricepdf (x, s, sigma)

Rician probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Rician distribution with non-centrality (distance) parameter s and scale parameter sigma. The size of y is the common size of x, s, and sigma. A scalar input functions as a constant matrix of the same size as the other inputs.

Further information about the Rician distribution can be found at https://en.wikipedia.org/wiki/Rice_distribution

See also: ricecdf, riceinv, ricernd, ricefit, ricelike, ricestat

Source Code: ricepdf

Example: 1

Plot various PDFs from the Rician distribution

 x = 0:0.01:8;
 y1 = ricepdf (x, 0, 1);
 y2 = ricepdf (x, 0.5, 1);
 y3 = ricepdf (x, 1, 1);
 y4 = ricepdf (x, 2, 1);
 y5 = ricepdf (x, 4, 1);
 plot (x, y1, '-b', x, y2, '-g', x, y3, '-r', x, y4, '-m', x, y5, '-k')
 grid on
 ylim ([0, 0.65])
 xlim ([0, 8])
 legend ({'s = 0, σ = 1', 's = 0.5, σ = 1', 's = 1, σ = 1', ...
          's = 2, σ = 1', 's = 4, σ = 1'}, 'location', 'northeast')
 title ('Rician PDF')
 xlabel ('values in x')
 ylabel ('density')
plotted figure