Pseudo-random Gaussian distribution through optimised LFSR permutations

Efficient hardware solutions to generate Gaussian-distributed random numbers are required in many applications. Linear feedback shift registers (LFSRs) are a low-complexity implementation of an approximated uniform pseudo-random distribution: multiple LFSRs can be used in combination to approximate...

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Veröffentlicht in:Electronics letters 2015-12, Vol.51 (25), p.2098-2100
Hauptverfasser: Condo, C, Gross, W.J
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description Efficient hardware solutions to generate Gaussian-distributed random numbers are required in many applications. Linear feedback shift registers (LFSRs) are a low-complexity implementation of an approximated uniform pseudo-random distribution: multiple LFSRs can be used in combination to approximate a Gaussian distribution with a low complexity cost. The technique proposed in this work exploits the same principle but relies on a single LFSR and ad-hoc permutations of its bits to obtain an accurate approximation of a Gaussian distribution with low maximum autocorrelation, leading to a very low complexity implementation of a Gaussian pseudo-random number generator.
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subjects ad‐hoc permutations
approximated uniform pseudorandom distribution
Approximation
circuit complexity
Circuits and systems
Complexity
complexity cost
Gaussian
Gaussian distribution
Gaussian pseudorandom number generator
Gaussian‐distributed random numbers
Hardware
LFSR
Linear feedback shift registers
low‐complexity implementation
maximum autocorrelation
Normal distribution
optimised LFSR permutations
Permutations
pseudorandom Gaussian distribution approximation
random number generation
Random numbers
shift registers
title Pseudo-random Gaussian distribution through optimised LFSR permutations
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