Gold Sequence Generator in MATLAB | 5G NR Gold Sequence

This page covers 5G NR Gold sequence. It mentions simulation of gold sequence generator in MATLAB and use of gold sequence in 5G NR technology.

Introduction: There are three sequences used in 5G NR wireless system viz. Zadoff chu sequence, gold sequence and m-sequence. Gold sequence is used in CP-OFDM, Zadoff-chu sequence is used in DFT-s-OFDM (for SSS) and m-sequence is used in PSS.

Gold Sequence use in 5G NR

• It is a BPSK modulated sequence with length of 127.
• It is used for NR SSS (Secondary Synchronization Signal).
• It is used to fix time/frequency offset ambiguity problem encountered in zadoff-chu sequence used in the previous LTE technology.
• SSS is part of 5G NR SS along with PSS.
• The combination of SS and PBCH is referred to as SSB in NR.
• DMRS sequence for CP-OFDM Physical layer is QPSK based on Gold sequences.

Generic pseudo-random sequences are defined by a length-31 Gold sequence. It is specified in TS 38.211 as follows. The output sequence c(n) of length M_PN, where n = 0, 1, .... M_PN-1 is defined as follows.
c(n) = {x1*(n+Nc) + x2*(n+Nc)} mod2
x1 (n+31) = { x1*(n+3) + x1*(n)}mod2
x2 (n+31) = { x2*(n+3) + x2*(n+2) + x2*(n+1) + x2*(n)}mod2
where Nc =1600 and the first m-sequence x1(n) shall be initialized with x1(0) = 1, x1(n) =0, n =1,2,....30. The initialization of the second m-sequence, x2(n) is denoted by Cinit as follows. The values depend on the application of the sequence.

Gold Sequence Generator in MATLAB

➤Mathworks database has following gold sequence generation program with m-files.
➤Download version 1.0.0.0 developed by Sanjeet Kumar from following link using login details after subscribing with mathworks.
➤This m-file generate Gold Sequences of length 31 by taking the modulo-2 sum of two m-sequence generators.
➤ Gold Sequence generation m files>>
➤ Also refer Gold Sequence generator >>

Also refer 5G NR m-sequence and Zadoff-chu sequence for more information.

5G NR Numerology | 5G NR Terminology

5G NR Control channels | 5G NR Traffic Channels | 5G NR Reference Signals and sequences

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