Simulation and implementation of MSK with Golay code in DSP chip

This study analyzed and simulated special combination of MSK modulation with Golay (20, 8) channel code. When a communication quality is required Pb = 10-5, the uncoded MSK Eb/N0 is about 12.5dB, the MSK Golay (20,8) t = 4 is about 11.2dB. Therefore, the coded Eb/N0 is decreased by 1.3dB and the coding gain is 1.3dB in the same communication quality. This study also analyzed Golay (20,8) decoding correction capability. The simulation result showed that the cause is when 212 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. Thus, when the bit error probability Pb = 10-5, Golay (20, 8) t = 4 has about 1dB coding gain compared with Golay (20,8) t = 3. The cross over point Eb/N0 of BPSK Golay (20,8) is at around 5.2dB, and MSK Golay (20,8) is at around 8dB. That indicates MSK Golay (20,8) is less robust than BPSK Golay (20,8) for 2.8dB against noise. Whenever 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.