On construction of bandwidth efficient, low complexity, and high coding gain 8-PSK modulation codes

Nested concatenated coded 8-PSK (phase-shift keying) modulation schemes are proposed to achieve good error performance, large coding gains, and high spectral efficiency with reduced decoding complexity. In the concatenation, Reed-Solomon (RS) codes, including the NASA standard (255,223) RS code, are used as the outer codes and multidimensional trellis 8-PSK codes are used as the inner codes. The inner codes are constructed from convolutional codes with good free branch distances and multidimensional 8-PSK coset codes through concatenation. Analytical and simulation results show that these schemes perform extremely well and achieve impressive coding gains over uncoded reference systems for bit error rates below 10/sup -3/. These schemes achieve large coding gains with reduced decoding complexity.<>