MINLP based topology synthesis for delta sigma modulators optimized for signal path complexity, sensitivity and power consumption

The paper proposes a novel architecture synthesis algorithm for single-loop single-bit ΔΣ modulators. We defined a generic modulator architecture and derived its noise and signal transfer function (NTF/STF) in symbolic forms. We then used the TF in MINLP (mixed integer nonlinearly constrained programming) to generate optimal topologies for a variety of design requirements, such as modulator complexity, sensitivity and power consumption, which appeared as cost functions. Experiments show the superiority of the synthesized topologies as compared to traditional solutions.