This paper presents a detailed study of the clock jitter error in multibit continuous-time ΣΔ modulators with non-return-to-zero feedback waveform. Closed-form expressions are derived for the in-band error power and the signal-to-noise ratio showing that the jitter-induced noise can be separated into two main components:
one depending on the modulator loop filter and the other one due to the input signal. The latter, not considered in previous approaches,
allows us to accurately predict the signal-to-noise ratio degradation and to optimize the modulator performance in terms of jitter insensitivity. Moreover, the use of state-space formulation makes the analysis quite general and applicable to either cascaded or single-loop architectures. Time-domain simulations of several
modulators are shown to validate the presented approach.
This work has been supported by the Spanish Ministry of Science and Education (with support from the European Regional Development Fund) under contract TEC2004-01752/MIC.
Peer reviewed