Among all N-level quantizer pairs (Q_X, Q_Y) on [a,b], the log-uniform quantizer minimizes worst-case product NMSE. The minimax product NMSE is 2n* − (n*)² where n* = ε²/12. Follows from monotonicity of the centroid product formula and density-independence of log-uniform quantization.
Typed links between this entry and other entries in the knowledge graph.