Fibonacci sequence weighted SAR ADC as golden section search

This paper presents the equivalence between a Fibonacci sequence weighted Successive Approximation Register type A-D converter (SAR ADC) and an SAR ADC based on the golden section search algorithm using the unimodal function obtained by the absolute value of the difference between the input voltage and the output of the internal DAC. The golden section search algorithm is used for finding effectively the extreme value of the unimodal function. We have designed an SAR ADC configuration based on this golden section search, and we show that this is equivalent to the Fibonacci sequence weighted SAR ADC. We explain their principle, configuration, and operation as well as some simulation results.