Abstract
This paper proposes a deterministic non-uniform sampling method for successive approximation register (SAR) analog-to-digital converters (ADCs) based on the fractional part of the golden ratio. This work focuses on the hardware-oriented adaptation and modification of the golden-ratio Weyl sequence, which is applied to the sampling clock control of SARADC. Adopting a simple accumulator and wrap-around operation, the proposed scheme realizes a lightweight deterministic sequence generator with only a single adder and a small number of registers. This sampling scheme introduces bounded deterministic non-uniformity to sampling instants, thereby weakening the inherent periodicity of conventional uniform sampling, reducing spectral coherence and signal aliasing, and improving the dispersion of sampling points, while requiring no modifications to the core circuit of the SAR ADC. Monte Carlo simulations were performed to evaluate the distribution and convergence behavior of the golden-ratio sequence. Under the tested sample sizes, the sequence showed stable convergence in the π-estimation experiment. For hardware implementation, the proposed generator only uses an accumulator, a fixed increment, and wrap-around operation, avoiding the large state memory and bitwise operations required by the Mersenne Twister. A SAR ADC behavioral model was further built in Simulink to examine the effect of the proposed sampling strategy. The DNL and INL results show that the golden-ratio-based deterministic non-uniform sampling maintains static performance comparable to conventional uniform sampling.