Cross-Shaped QAM Constellation for LLR Simplification

The patent applies asymmetry by intentionally creating an asymmetrical cross-shaped constellation diagram where I and Q components have different power distributions. This asymmetrical structure enables the constellation to achieve higher spectral efficiency while the patent simultaneously provides methods to manage the resulting LLR calculation complexity through structured approach and computational optimizations.

The patent segments the cross-shaped constellation diagram into distinct regions (first region with larger absolute I values, second region with larger absolute Q values, and third region with equal values). This segmentation allows for differentiated LLR calculation methods to be applied to different segments, reducing overall computational complexity by avoiding uniform fine-grained division across the entire constellation.

The patent applies local quality by differentiating the LLR calculation approach based on the specific region of the constellation diagram being processed. Different calculation methods are applied to different regions (first region with larger I values, second region with larger Q values, third region with equal values), allowing for optimized precision where needed while reducing computational effort in other regions.

The patent applies partial action by performing LLR calculations with different levels of precision depending on the constellation region. Instead of uniformly applying fine area division across the entire diagram, the method applies computational resources selectively to regions where it is most needed, avoiding excessive computational complexity in regions where coarser division suffices.