LC-based bandpass continuous-time sigma-delta modulators with widely tunable notch frequency

This paper analyses the use of bandpass continuous-time ΣΔ modulators with widely programmable notch frequency for the efficient digitization of radio-frequency signals in the next generation of software-defined-radio mobile systems. The modulator architectures under study are based on a fourth-order loop filter - implemented with two LC-based resonators - and a finite-impulsive-response feedback loop in order to increase their flexibility and degrees of freedom. Several topologies are studied, considering three different cases for the embedded digital-to-analog converter, namely: return-to-zero, non-return-to-zero and raised-cosine waveform. In all cases, a notch-aware synthesis methodology is presented, which takes into account the dependency of the loop-filter coefficients on the notch frequency and compensates for the dynamic range degradation due to the variation of the notch. The synthesized modulators are compared in terms of their sensitivity to main circuit error mechanisms and the estimated power consumption over a notch-frequency tuning range of 0.1f_s to 0.4f_s. Time-domain behavioral and macromodel electrical simulations validate this approach, demonstrating the feasibility of the presented methodology and architectures for the efficient and robust digitization of radio-frequency signals with a scalable resolution and programmable signal bandwidth.