Efficient Multi-rate Hybrid Continuous-Time/Discrete-Time Cascade 2-2 Sigma-Delta Modulators for Wideband Telecom

  • J. Gerardo García-Sánchez
  • José M. de la Rosa
Conference paper
Part of the IFIP Advances in Information and Communication Technology book series (IFIPAICT, volume 379)


This chapter discusses the use of hybrid continuous-time /discrete-time fourth-order cascade two-stage 2-2 ΣΔ modulators for wideband low-power wireless applications. The modulator architecture under study is based on a new concept of multi-rate operation, in which the front-end stage – implemented using continuous-time (Gm-C) integrators – operates at a higher rate than the back-end (switched-capacitor) stage. This strategy benefits from the faster operation of continuous-time circuits while keeping power efficiency and high robustness against circuit element tolerances. A comparison with conventional multi-rate and single-rate (continuous-time) ΣΔ modulators is carried out based on the impact of main circuit-level error mechanisms, namely: mismatch, finite OTA dc gain and finite gain-bandwidth product. Closed-form analytical expressions are derived for the nonideal in-band noise power of the different architectures under study, demonstrating a good agreement with simulations and showing the benefits of the presented approach. Simulation results show that the proposed modulator is able to operate with a maximum sampling rate of up to 1GHz, digitizing signals with a 44-to-92dB peak signal-to-(noise+distortion) ratio within a programmable 5-to-60MHz bandwidth.


Analog-to-digital conversion multi-rate sigma-delta modulators continuous-time and discrete-time circuits 


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Copyright information

© IFIP International Federation for Information Processing 2012

Authors and Affiliations

  • J. Gerardo García-Sánchez
    • 1
  • José M. de la Rosa
    • 1
  1. 1.Instituto de Microelectrónica de SevillaIMSE-CNM (CSIC/Universidad de Sevilla)SevillaSpain

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