Statistical properties of a class of pseudorandom sequences

Publisher Website
Google Scholar
Abstract
The class of sequences discussed in the paper consists of those sequences which can be produced by inversion of alternate values in binary maximal-length sequences. The statistical properties of such sequences are analysed in terms of their multidimensional higher-order autocorrelation functions, and the results are compared with the statistical properties of a truly random binary sequence. The odd-order autocorrelation functions are identically zero. Some general properties of the even-order autocorrelation functions are derived. A sampled-data Laguerre filter chain is used to assess the statistical properties of some typical sequences. The paper ends with a discussion of some techniques which can be used to form multilevel sequences.