【Objective】

2

The commonly used max-log-map algorithm reduces the complexity of soft information computation compared to the log-map algorithm. However

it still consumes significant resources for high-order Orthogonal Amplitude Modulation (QAM)

such as 8QAM

16QAM Probability Shaping (PS)

and 64QAM PS.

【Methods】

2

8QAM adopts the method of constellation region division

and the soft information is represented by the distance information from the received symbol to the perpendicular between the nearest bit 0 and bit 1. The distance information is simplified and calculated using angle rotation and regional symmetry. For 16QAM PS and 64QAM PS with non Maxwell Boltzmann (MB) distribution

the central boundary between the edges of the bit 1 region and the central boundary between bit 0 on both sides of the bit 1 region no longer coincide. Region merging approximation is used to handle the region ownership between the two boundaries

and the max-log-map expression is factorized to simplify the distance difference to calculate the soft information. The soft information of 16QAM PS and 64QAM PS based on MB distribution can be obtained by simplifying the soft information expression of non-MB distribution.

【Results】

2

The simplification reduced the multiplication and addition/subtraction operations in 8QAM soft information calculation from 48 and 75 times to 12 and 16 times respectively. with a degradation of only about 0.05 dB. For MB-distributed 16QAM PS

operations reduce from 192 multiplications and 260 additions/subtractions to 2 and 4

respectively

also with a degradation of only about 0.05 dB. The reduction is even greater for 64QAM PS

decreasing from 1 152 multiplications and 1 542 additions/subtractions to 3 and 6

respectively.

【Conclusion】

2

This article proposes a soft information computation method suitable for 8QAM and MB-distributed 16QAM PS

MB-distributed 64QAM PS

non MB-distributed16QAM PS

and non MB-distributed 64QAM PS. When probabilities align with the MB distribution

the non MB methods can transform into the MB methods. When the shaping factor is 0

the expression based on the MB distribution can be converted into a uniformly distributed soft information calculation formula. The soft information calculation for non-MB distribution

MB distribution

and uniform distribution can be uniformly designed on the same circuit

improving circuit reuse rate and reducing the hardware resource consumption.