Title :
On the Distribution of Sums of Successive Bits of Shift-Register Sequences
Author :
Jordan, Harry F. ; Wood, David C M
Author_Institution :
Departments of Computer Science and Electrical Engineering, University of Colorado
fDate :
4/1/1973 12:00:00 AM
Abstract :
A formula is found for the distribution of the number of ones in a subsequence of a maximal-length shift-register sequence. The formula relates the distribution to the binomial distribution with probability 1/2 with a difference that depends on the structure of the set of linear recurrences satisfied by the sequence. Considerations are discussed that aid in the choice of a shift register to be used in generating an approximately binomially distributed random variable.
Keywords :
Binomial distribution, linear recurring sequences, m-sequences, pseudorandom sequences, shift-register sequences.; Character generation; Computer science; Equations; Noise generators; Polynomials; Random sequences; Random variables; Shift registers; Binomial distribution, linear recurring sequences, m-sequences, pseudorandom sequences, shift-register sequences.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1973.223728
