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Properties of PN^2 sequences (Corresp.)

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1 Author(s)

A method for generating sequences that approximate binary random sequences with the probability of a 1 equal to 1/4 is described. These are called PN^2 sequences. PN^2 sequences are generated by clocking a PN sequence generator at the l's of a PN sequence. The PN^2 sequence is 1 when the generator output makes a transition and is 0 otherwise. It is shown that PN^2 sequences have period N^2 if the PN sequence generators have period N . The density of l's is shown to approach 1/4 for large N . It is shown that the normalized out-of-phase pulse-coincidence autocorrelation function can never exceed 1/2 or be less than 1/4 and is 1/4 most of the time for large N .

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IEEE Transactions on Information Theory  (Volume:20 ,  Issue: 2 )