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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