The Golden Quantizer in Complex Dimension Two
Hongyi Li, Kejia Hu, Di Zhao · IEEE Communications Letters · 2021
In this letter, we focus on numerical solutions to the problem of quantizing circularly symmetric complex Gaussian random variables from open symmetrized bidiscs in$\mathbb {C}^{2}$. To that end, we leverage techniques from the complex variable analysis, especially the symmetrization map. Four novel non-uniform quantizers,i.e.Bd1/2-GQ and EC Bd1/2-GQ, are proposed to reduce the mean square error distortion. Compared to the existing high-rate golden quantizer, entropy-coded high-rate golden quantizer, and (non)-uniform polar/rectangular quantizers, Bd1-GQ and EC Bd1-GQ achieve lower mean square error distortion. Moreover, the EC Bd2-GQ reaches better performance than the polar- and rectangular- quantizers.