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Gold Sequence Generator (GOLD)

Gold Sequence Generator (GOLD)

Property	Description	Units	Default	Range/Type/Type
L	Length of shift register	None	5	[2, 63]/Integer
N	Period of the m-sequence	None	31	[1, Inf)/Integer
PL1	The first primitive polynomial (low 32 bits) in decimal	None	37	[1, Inf)/Integer
PH1	The first primitive polynomial (high 32 bits) in decimal	None	0	[0, Inf)/Integer
PL2	The second primitive polynomial (low 32 bits) in decimal	None	37	[1, Inf)/Integer
PH2	The second primitive polynomial (high 32 bits) in decimal	None	0	[0, Inf)/Integer
SL1	Initial state of the first shift register (low 32 bits) in decimal	None	1	[0, Inf)/Integer
SH1	Initial state of the first shift register (high 32 bits) in decimal	None	0	[0, Inf)/Integer
SL2	Initial state of the second shift register (low 32 bits) in decimal	None	1	[0, Inf)/Integer
SH2	Initial state of the second shift register (high 32 bits) in decimal	None	0	[0, Inf)/Integer
NC	Number of chips	None	Required	[0, Inf)/Integer
RC	Chip rate of the m-sequence	Hz	1000	(0, Inf)/Real
T	True output value	None	-1	(-Inf, Inf)/Real
F	False output value	None	1	(-Inf, Inf)/Real
ROUT	Output impedance	Ohm	0	[0, Inf)/Real
Ports
Output	Truncated Gold sequence (real)

Notes

1. The Gold Sequence Generator model is used to generate Gold sequence.

2. The Gold sequence can be generated by taking modulo-2 sum of two m-sequences with different offset in Galois field. Not all pairs of m-sequences do generate Gold sequence and those which generate Gold sequence are called preferred pairs. A typical LFSR structure used to be generate a family of Gold sequences is illustrated in Fig.1. For detailed description of LFSR, please refer to the m-sequence Generator model.

3. As in the m-sequence Generator model, that the primitive polynomial in binary is g_og₁...g_L and the initial state of the shift register in binary is S_L-1S_L-2...S₀.

Fig. 1 Block diagram of Gold Sequence Generator

Netlist Form

GOLD:NAME n1 L=val [N =val] [PL1=val] [PH1 =val] [PL2=val] [PH2 =val] [SL1=val] [SH1 =val] + [SL2=val] [SH2 =val] NC=val [RC=val] [T=val] [F =val] [ROUT=val]

Netlist Example

GOLD:1 1 L = 5 N=31 PL1 = 41 PH1 = 0 PL2 = 41 PH2 = 0 SL1 = 31 SH1 = 0 SL2 = 1 SH2 = 0 NC = 124 + RC = 1khz T= 1 F= 0

References

1. J. G. Proakis, Digital Communications, McGraw-Hill, 2001.

2. R. L. Peterson, R. E. Ziemer, and D. E. Borth, Introduction to Spread Spectrum Communications. Prentice Hall International Editions, 1995.

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