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.

Testing Random Number Generators by Walsh Transform

An expression for evaluating the Walsh power spectra of random signals with very short time correlations is given.

Chung Kwong Yuen

Papers

Evaluation of Walsh Power Spectrum of Nearly White Signals