DocumentCode :
921260
Title :
Properties of PN^2 sequences (Corresp.)
Author :
Tretter, Steven A.
Volume :
20
Issue :
2
fYear :
1974
fDate :
3/1/1974 12:00:00 AM
Firstpage :
295
Lastpage :
297
Abstract :
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 .
Keywords :
Pseudonoise sequences; Arithmetic; Autocorrelation; Binary sequences; Clocks; Hamming weight; Pulse generation; Shift registers;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1974.1055179
Filename :
1055179
Link To Document :
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