Abstract
We consider a widespread impreciseness in the autocorrelation function formula for M-sequences. We propose a derivation of the exact expression for the normalized autocorrelation function for a p-ary sequence in almost all points of the temporal argument inside a period. We justify the value balance property for the periodic autocorrelation function that lets us obtain analytic expressions for peak outliers of the autocorrelation inside a minimal period for ternary and quinary M-sequences.
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