Beyond-one-cycle loop delay CT ΔΣ modulators with proper rational NTF synthesis and time-interleaved quantizers

Currently, less-than-one-cycle loop delay is the key factor to impede higher clock rate and wide bandwidth continuous-time oversampling modulators. In this paper, a new method to develop a beyond-one-cycle delay CTDSM based on the proper rational NTF synthesis is proposed without an extra fast path . Also, further loop delay extending will be implemented by a fully s-domain deviation. Compared with the traditional impulse invariant way in DT-CT mapping, this new method shows a much simpler work. In the end, the paper discusses time-interleaved implementations in the proposed beyond-one-cycle delay modulators, including offset, gain and sampling time error mismatches between channels.