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Function Reference: ricecdf

statistics: p = ricecdf (x, s, sigma)
statistics: p = ricecdf (x, s, sigma, 'upper')

Rician cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Rician distribution with non-centrality (distance) parameter s and scale parameter sigma. The size of p 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.

p = ricecdf (x, s, sigma, "upper") computes the upper tail probability of the Rician distribution with parameters s and sigma, at the values in x.

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

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

Source Code: ricecdf

Example: 1

Plot various CDFs from the Rician distribution

 x = 0:0.01:10;
 p1 = ricecdf (x, 0, 1);
 p2 = ricecdf (x, 0.5, 1);
 p3 = ricecdf (x, 1, 1);
 p4 = ricecdf (x, 2, 1);
 p5 = ricecdf (x, 4, 1);
 plot (x, p1, '-b', x, p2, 'g', x, p3, '-r', x, p4, '-m', x, p5, '-k')
 grid on
 ylim ([0, 1])
 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', 'southeast')
 title ('Rician CDF')
 xlabel ('values in x')
 ylabel ('probability')
plotted figure

Example: 2

Plot various CDFs from the Rician distribution

 x = 0:0.01:10;
 p1 = ricecdf (x, 0, 0.5);
 p2 = ricecdf (x, 0, 2);
 p3 = ricecdf (x, 0, 3);
 p4 = ricecdf (x, 2, 2);
 p5 = ricecdf (x, 4, 2);
 plot (x, p1, '-b', x, p2, 'g', x, p3, '-r', x, p4, '-m', x, p5, '-k')
 grid on
 ylim ([0, 1])
 xlim ([0, 8])
 legend ({'ν = 0, σ = 0.5', 'ν = 0, σ = 2', 'ν = 0, σ = 3', ...
          'ν = 2, σ = 2', 'ν = 4, σ = 2'}, 'location', 'southeast')
 title ('Rician CDF')
 xlabel ('values in x')
 ylabel ('probability')
plotted figure