Generalized Bernoulli Map-Based Analog to Digital Conversion and Performance Analysis for Signal Sampling

摘要

A Generalized Bernoulli map (G-B map) with arbitrary reference voltage is developed. Based on the G-B map, an ADC with a wide dynamic range and high precision is developed. The nonlinearity of this ADC is analyzed, and the analytic expression of the transfer function of G-B map based ADC is given. The expression of output SNR and phase shift between the output and input signals of G-B map based ADC is derived based on stochastic resonance theory. And the performance of this ADC in signal sampling in noise environment is evaluated. The results of numerical calculation are given.