Low-complexity demodulation algorithm of hexagonal signal constellation

Considering that hexagonal signal constellation (HSC) demodulation algorithm is not optimal, a low-complexity demodulation algorithm of HSC based on non-orthogonal vectors projection was proposed. On the basis of overview of the typical hexagonal constellation structure, the projection coefficients of hexagonal signal vectors and computational complexity of the algorithm were analyzed and calculated. The effect of noise on the received signal was researched and the signal to noise ratio thresholds were given combined with Gauss-Legendre numerical analysis method. It is shown that the demodulation algorithm is only about 30% of base vector projection demodulation algorithm in terms of computational complexity when it performs effectively.