Algorithm 488: A Gaussian pseudo-random number generator
Communications of the ACM
Digital Time Series Analysis
Function Approximation by Walsh Series
IEEE Transactions on Computers
Evaluation of Walsh Power Spectrum of Nearly White Signals
IEEE Transactions on Computers
Upper Bounds on Walsh Transforms
IEEE Transactions on Computers
Fast Spectral Tests for Measuring Nonrandomness and the DES
CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
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A truly random sequence of numbers has an asymptotically flat Walsh power spectrum. This fact is used to devise a new test for the randomness of the output of random number generators. Because it takes little computing time to obtain the Walsh power spectrum of even very long sequences, generators with large periods can be tested. Some computed examples are shown.