Apparatuses and methods for generating pseudo-random number

A method for generating a white pseudo-random sequence, comprising:

• receiving a plurality of input values, wherein for every input value of the plurality of input values, there is an inverse input value such that a sum of the input value and the inverse input value is zero;
• outputting an output value of the white pseudo-random sequence;
• providing a delayed output value into a feedback loop;
• receiving a feedback value via the feedback loop, wherein the feedback value is a product of the delayed output value and a first value of a first pseudo-random sequence;
• receiving a second value of a second pseudo-random sequence,
• selecting, based on the second value, one of a combination of the plurality of input values and the feedback value;
• and
• generating a next output value of the white pseudo-random sequence based on the plurality of input values, the feedback value, and the second value.

A pseudo-random number generator, comprising:

• a multiplexer including:
• a plurality of input terminals each configured to receive a corresponding input value of a plurality of input values, wherein for every input value of the plurality of input values, there is an inverse input value such that a sum of the input value and the inverse input value is zero;
• an output terminal configured to output an output value of a white pseudo-random sequence and provide a delayed output value into a feedback loop;
• a feedback input terminal configured to receive a feedback value via the feedback loop, wherein the feedback value is a product of the delayed output value and a first value of a first pseudo-random sequence;
• and
• a select terminal configured to:
• receive a second value of a second pseudo-random sequence, and
• select, based on the second value, one of a combination of the plurality of input terminals and the feedback input terminal;
• wherein the multiplexer is configured to generate the output value of the white pseudo-random sequence based on the plurality of input values, the feedback value, and the second value;
• and
• a multiplier configured to:
• receive the first value of the first pseudo-random sequence;
• receive the delayed output value;
• multiply the first value of the first pseudo-random sequence and the delayed output value to generate the feedback value;
• and
• output the feedback value;
• the multiplexer being configured to generate a next output value of the white pseudo-random sequence based on the plurality of input values, the feedback value, and the second value.