I have developed a random number generator and wonder what commercial applications it could have. I am trying to decide if it's worth patenting it. Here is a short description.

Key features

The developed random generator is initialized with an existing data sequence x(t). The generator then generates random data y(t), which has the following characteristics:

  • x(t) and y(t) have the same distribution;
  • The derivatives dx/dt and dy/dt have the same distribution;
  • The zero-crossings (or level crossings) of x(t) and y(t) have the same distribution and their counts are statistically equal;
  • The expected number and spacing of the positive peaks of x(t) and y(t) are statistically equal;
  • The generator could be used for generating random data with any distribution, derivative distribution, etc.

    I have attached a couple images with examples:

  • x(t) has uniform distribution and normal derivative distribution;
  • x(t) has uniform distribution and non-normal derivative distribution;
  • x(t) has bimodal distribution;
  • x(t) has uniform left/right distribution.
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