Rigorous Analysis Of Quantization Error Of An A/D Converter Based On Beta-Map

A non-binary analog-to-digital converter (ADC) based on beta-expansion, called a beta-encoder, can reportedly achieve robustness against large process variation and widespread environment change. The quantization error of the beta-encoder is not uniformly distributed, which makes mean squared error (MSE) evaluation difficult. In this work, an analysis method for giving the upper bound of the MSE of the quantization error is proposed. We also gave an evaluation of signal-to-noise-ratio (SNR), which is effective for designing beta-encoders.