Tunable pink noise generator with no low frequency cutoff

A device for generating pink noise and for improving computational efficiency for providing pink noise comprising:

• NS stochastic signal generators, wherein each respective stochastic signal generator of the NS stochastic signal generators comprises;
• a random number generator for a generating a respective first random number g with variance σ for the respective stochastic signal generator and for generating a respective second random number u for the respective stochastic signal generator;
• a comparator coupled to the random number generator for comparing for the respective stochastic signal generator the respective second random number u with an update probability for the respective stochastic signal generator, wherein the update probability for an Nth respective stochastic signal generator is ½N, where N ranges from 1 to NS for the respective stochastic signal generators;
• and
• a register for storing a respective output of the respective stochastic signal generator, wherein if the respective second random number u is greater than the update probability for the respective stochastic signal generator, then not updating or changing the respective output stored in the register for the respective stochastic signal generator, and wherein if the respective second random number u is less than or equal to the update probability for the respective stochastic signal generator, then storing the first random number in the register;
• and
• a summer coupled to an output of each respective stochastic signal generator for summing at each discrete time n the respective output of each of the NS stochastic signal generators.

A device for generating pink noise and for improving computational efficiency for providing pink noise comprising:

• a random number generator for generating a first random number g with variance σ output at each discrete time n, and for generating a second uniformly random number u output at each discrete time n;
• NS registers, each of the NS registers for storing a respective one of NS stochastic values;
• a priority encoder coupled to the second random number u output for determining at each discrete time n a selected respective stochastic value of the NS stochastic values to update with the first random number g with variance σ output;
• a sum register;
• and
• a summer coupled to the NS registers, the first random number g with variance σ output, and to the sum register, and having an output coupled to the sum register;
• wherein the summer adds the first random number g with variance σ to a sum stored in the sum register and subtracts the selected respective stochastic value to form a new sum at each discrete time n;
• wherein the new sum is stored in the sum register at each discrete time n;
• and
• wherein the first random number g with variance σ output is stored in the respective register for the selected respective stochastic value at each discrete time n.

A method for generating pink noise and for improving computational efficiency for providing pink noise comprising:

• generating a first random number g with variance σ output at each discrete time n;
• generating a second uniformly random number u output at each discrete time n;
• storing NS stochastic values;
• using the second random number u output for determining at each discrete time n a selected respective one of the stored NS stochastic values to update with the first random number g with variance σ output at each discrete time n;
• storing a sum;
• adding the first random number g with variance σ output to the sum and subtracting the stochastic value of the selected respective one of the stored NS stochastic values to form a new sum at each discrete time n;
• replacing the stored sum with the new sum at each discrete time n;
• and
• replacing the stochastic value of the selected respective one of the stored NS stochastic values with the first random number g with variance σ output at each discrete time n.