In mathematics, a polyphase sequence is a sequence whose terms are
complex
Complex commonly refers to:
* Complexity, the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe
** Complex system, a system composed of many components which may interact with each ...
roots of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power . Roots of unity are used in many branches of mathematics, and are especially important in ...
:
:
where ''x''
''n'' is an
integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
.
Polyphase sequences are an important class of sequences and play important roles in synchronizing sequence design.
See also
*
Zadoff–Chu sequence
A Zadoff–Chu (ZC) sequence, also referred to as Chu sequence or Frank–Zadoff–Chu (FZC) sequence, is a complex-valued mathematical sequence which, when applied to a signal, gives rise to a new signal of constant amplitude. When cyclically shi ...
References
*{{cite book , first=Pingzhi , last=Fan , first2=Michael , last2=Darnell , title=Sequence Design for Communications Applications , publisher=Research Studies Press , year=1996 , isbn=047196557X
Sequences and series