SWEDEN Akademisk avhandling som med tillstånd av Kungl Tekniska högskolan framlägges till offentlig granskning för avläggande av Teknologie Doktorsexamen i Elektroniksystemkonstruktion onsdagen den Abstract This dissertation presents an investigation of the causes and effects of timing uncertainty in Sigma-Delta Analog-to-Digital Converters, with special focus on the switched-capacitor Sigma-Delta type. The investigated field for cause of timing uncertainty is digital clock generation and the

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... eld for effect is sampling. The granularity level of the analysis in this work begins at behavioral level and finishes at transistor level. The sampling circuit is the intuitive component to look for the causes to the effects of timing uncertainty in an Analog-to-Digital Converter since the transformation from real time to digital time takes place in the sampling circuit. Hence, the performance impact of timing uncertainties in a typical sampling circuit of a switched-capacitor Sigma-Delta Analog-to-Digital Converter has been thoroughly analysed, modelled, and described in this dissertation. During the analysis process, ideas of improved sampling circuits with inherent tolerance to timing uncertainties were conceived and analysed, and are also presented. Two cases of improved sampling topologies are presented: the Parallel Sampler and the Sigma-Delta sampler. The first obtains its timing uncertainty tolerance from taking advantage of a theorem in statistics whereas the second is tolerant against timing uncertainties because of spectral shaping that effectively pushes the in-band timing noise out of the signal band. Digital clock generation is a fundamental step of generating multiple clock signals that are needed for example in switched-capacitor versions of Sigma-Delta Analog-to-Digital Converters. The clock generation circuitry converts a single time reference, i.e. a clock signal, usually coming from a phase-locked loop into multiple time references. The two types of clock-generation circuits that are treated in this dissertation are used to create two nonoverlapping clocks from a single clock signal. The process that has been investigated and described is how power-supply noise and substrate noise transforms into timing uncertainty when a reference signal is passed through one of the aforementioned clock generation circuits. The results presented in this dissertation have been obtained using different analysis techniques. The modelling and descriptions have been done from a mathematical and physical perspective. This has the benefit of predicting the performance impact by different circuit parameters without the need for computer based simulations. The difficulty with the mathematical and physical modelling is the balance that has to be found between intractability and oversimplification. The other angle of approach has been the use of computer based simulations for both description and verification purposes. The simulation tools that have been used in this work are MATLAB and Spectre/Cadence. As mentioned, their purpose has been both for model and description verification and also as a means of obtaining result metrics. Generally speaking, simulation tools mentally decouple the result from the various circuit parameters and reaching a solid performance understanding can be difficult. However, obtaining a performance metric without full comprehension can at times be better than having no metric at all.