Patent ID: 7263470

Claim:
A process of simulating noise based on a random variable, the process comprising: defining a plurality of points over an interval, each two neighboring points being separated by a distance that varies over the interval, wherein the points are defined by selecting a first parameter α, a second parameter having a value A and a third parameter having a value B, wherein B≧0 and 2 B >A>0, and wherein selecting the first parameter comprises calculating α = 2 B - A 2 B , selecting a plurality of first integers i, each first integer being uniquely distinct from each other first integer, defining a plurality of segments based on α to powers of i, selecting a plurality of second integers j, each second integer being uniquely distinct from each other second integer, and dividing each segment into points based on j; and calculating and outputting a discrete analogue of a random variable by applying an inverse function to a magnitude of a respective point, the discrete analogue simulating the noise.