PN Sequences By Dr. Ernest Simo 1.0 Definition and Generation Full-Length Auto-Correlation In general, it can be shown that the Full-Length Auto-Correlation function (R) of PN Codes or PN Sequences is characterized by: Large positive number equal to the length of the PN Sequence (R=2n-1) when time shift =0 (at 0); So, when normalized by the Length, the Auto-Correlation Function is equal to Unity "1" at time-shift zero. Negative One (-1) for all Time-Shifts equal or greater than the duration of one chip. So, when normalized by the length L of the PN Sequence, the Auto-Correlation is very small (-1/L) for all values of time shifts equal or greater than one chip. In summary, the Auto-Correlation function of PN Codes is a two-value function: Its maximum value occurs when the time-shift parameter is zero chip. For all other values of equal to , or greater than one chip, the correlation function is -1. CODE: AN INTRODUCTION By Dr. Ernest Simo © 1999 DR. ERNEST SIMO - SPACE2000