Efficient Sphere Decoding Algorithm for MIMO Detection

This algorithm implements an efficient sphere decoding method for Multiple-Input Multiple-Output (MIMO) detection systems. Specifically optimized for N-by-N Quadrature Amplitude Modulation (QAM) schemes, it employs complex signal processing techniques to enable robust signal detection and demodulation in multi-antenna configurations. The core algorithmic approach involves conducting a constrained search over a spherical surface to identify probable solutions, significantly enhancing detection accuracy while maintaining computational efficiency. Key implementation features include adaptive radius control and tree-pruning strategies that reduce search complexity. The algorithm demonstrates notably low computational overhead and minimal memory requirements, making it scalable for MIMO systems of varying dimensions. Through systematic boundary management and Euclidean distance calculations, this sphere decoder achieves substantial improvements in both system performance and throughput compared to conventional detection methods.