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δ function discontinuities in maximum spectral energy probability density function of pseudorandom sequences

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2 Author(s)
Haspel, M. ; Ben-Gurion Int. Airport, Israel ; Weiss, B.

The probability density function (PDF) of normalised maximum spectral energy of pseudorandom binary sequences {1, -1} is approximated empirically as a prologue for the statistical connection of spectral flatness to sequence correlation properties. The startling appearance of apparently anomalous δ function discontinuities in the resulting PDF is explained in terms of the random walk problem, and suggests possible distinct properties of sequences linked to those discontinuities

Published in:

Electronics Letters  (Volume:32 ,  Issue: 15 )