Golay (20, 8) C code simulation and implementation in DSP chip

This study analyzed and simulated special Golay (20, 8) channel code. When the bit error probability P
_b
= 10
^-5
, Hamming (16, 11) has about 0.5dB coding gain compared with Golay Code (20,8) t = 3, and Golay Code (20,8) t = 4 has about 0.2dB coding gain compared with Hamming (16, 11). Thus, Golay Code (20, 8) t = 4 has about 0.7dB coding gain compared with Golay Code (20,8) t = 3. This study also analyzed the Golay Code (20,8) decoding correction capability. The simulation result showed that the cause is when 2
¹²
syndromes are all used, partial 4-bit errors can be corrected. The error pattern that can be corrected is increased by 67.04% compared with only correcting 3-bit errors. When the C code system program is constructed, the system program should be optimized and realized on the DSP platform. The further goal is to be applied to the wireless communication system of SDR concept, so that different modulation and encoding modes can adjust parameters in firmware directly according to different system specification requirements.