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I'm working on project in Matlab which aim is to demonstrate how Luby Transform codes work. I need to generate generation matrix and I need to get some values from Robust Soliton Distribution, can someone explain me how to generate numbers according to this distribution, I need to generate one value for each column in my matrix, I saw Robust Solition formula here http://en.wikipedia.org/wiki/Soliton_distribution#Robust_distribution but I don't understand what each variable means. Thanks in advance

Here is the formula form Wiki:

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    $\begingroup$ These are not the formulas for the distribution: they are formulas for corrections to it. The soliton distribution itself is discussed (with R and Python code) at stats.stackexchange.com/questions/37581/…. $\endgroup$
    – whuber ♦
    Commented Feb 20, 2014 at 15:00
  • $\begingroup$ While the two questions are related, the answers to the second question don't seem to answer this one, so I don't think this should be closed as a duplicate. $\endgroup$
    – Silverfish
    Commented Sep 21, 2016 at 9:08

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You may try this

Put the cumulative probabilities in a vector according to soliton : Vector P then the variable

find(rand < P , 1,'first')

gives you your variable.

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Use the inverse CDF method. Note that you'll first need to normalize this distribution.

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