For a log-uniform quantizer cell with common ratio r and geometric midpoint, the exact MSRE is 2 − 2√r·ln(r)/(r−1). Taylor expansion: ε²/12 − 7ε⁴/2880 + O(ε⁶), confirming the high-resolution approximation and correcting an earlier erroneous ε²/2 result (factor of 6 error). Lean 4 verified.
Typed links between this entry and other entries in the knowledge graph.