Editing Maximum length sequence (section)

===Correlation property===
The circular [[autocorrelation]] of an MLS is a [[Kronecker delta]] function<ref>{{Cite book|url=https://books.google.com/books?id=Sq6uFqlHg1gC|title=Fundamentals of General Linear Acoustics|last1=Jacobsen|first1=Finn|last2=Juhl|first2=Peter Moller|date=2013-06-04|publisher=John Wiley & Sons|isbn=978-1118636176|language=en|quote=A maximum-length sequence is a binary sequence whose circular autocorrelation (except for a small DC-error) is a delta function.}}</ref><ref>{{Cite journal|last1=Sarwate|first1=D. V.|last2=Pursley|first2=M. B.|date=1980-05-01|title=Crosscorrelation properties of pseudorandom and related sequences|journal=Proceedings of the IEEE|volume=68|issue=5|pages=593–619|doi=10.1109/PROC.1980.11697|s2cid=6179951 |issn=0018-9219}}</ref> (with DC offset and time delay, depending on implementation).  For the ±1 convention, i.e., bit value 1 is assigned <math>s = +1</math> and bit value 0 <math>s = -1</math>, mapping XOR to the negative of the product:

<math>R(n)=\frac 1 N \sum_{m=1}^N s[m]\, s^*[m+n]_N = \begin{cases}
1 &\text{if } n = 0,   \\
-\frac 1 N &\text{if } 0 < n < N.   \end{cases}</math>

where <math>s^*</math> represents the complex conjugate and <math>[m+n]_N</math> represents a [[circular shift]].

The linear autocorrelation of an MLS approximates a Kronecker delta.