Generate root Zadoff-Chu sequence of complex symbols


  • SEQ = lteZadoffChuSeq(R,N)


SEQ = lteZadoffChuSeq(R,N) generates the Rth root Zadoff-Chu sequence with length N, as defined in the LTE specifications [1]. The output SEQ is an N-length column vector of complex symbols.

The function generates the actual sequence using the following algorithm:


This function uses a negative polarity on the argument of the exponent or a clockwise sequence of phases.


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Examine the Correlation Properties of a Zadoff-Chu Sequence

Generate the 25th root length-139 Zadoff-Chu sequence.

Use lteZadoffChuSeq to generate the sequence and then plot its absolute values.

seq = lteZadoffChuSeq(25,139);

Input Arguments

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R — Root of the Zadoff-Chu sequencepositive integer scalar

Example: 25

Data Types: single | double
Complex Number Support: Yes

N — Length of the Zadof-Chu sequencepositive integer scalar

Example: 139

Data Types: single | double
Complex Number Support: Yes

Output Arguments

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SEQ — Zadoff-Chu output sequencecomplex double-type column vector

The output sequence is a complex-valued column vector that contains the Rth root Zadoff-Chu sequence of length N.


[1] 3rd Generation Partnership Project: Technical Specification Group Radio Access Network. "Evolved Universal Terrestrial Radio Access (E-UTRA)," Physical Channels and Modulation, Release 10, 2010–2012, TS 36.211, Vol. 10.0.0.

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