Jialong Chen

Exactly Unbiased Single-Stage Randomized Hadamard Companders: Uniform High-Rate Limits, Minimax Reconstruction, and Fixed-Query Tradeoffs

For every continuous, strictly positive probability density $f$ and every $B = 2^b \ge 4$, we construct a $B$-ary companded scalar quantizer with a calibrated reconstruction map whose box average in the quantile domain equals the inverse compander. Uniform dithering therefore yie...

Exactly Unbiased Single-Stage Randomized Hadamard Companders: Uniform High-Rate Limits, Minimax Reconstruction, and Fixed-Query Tradeoffs

For every continuous, strictly positive probability density $f$ and every $B = 2^b \ge 4$, we construct a $B$-ary companded scalar quantizer with a calibrated reconstruction map whose box average in the quantile domain equals the inverse compander. Uniform dithering therefore yie...