1/23/2012

Bandpass Sigma Delta Modulators: Stability Analysis, Performance and Design Aspects Review

Bandpass Sigma Delta Modulators: Stability Analysis, Performance and Design Aspects
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I bought this book which is written by experts of data converter design. It introduces some latest architectures I've not saw in other books. I can easily understood the basic idea to design delta-sigma ADCs. It is one of the greatest books.

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Sigma delta modulation has become a very useful and widelyapplied technique for high performance Analog-to-Digital (A/D)conversion of narrow band signals. Through the use of oversampling andnegative feedback, the quantization errors of a coarse quantizer aresuppressed in a narrow signal band in the output of the modulator.Bandpass sigma delta modulation is well suited for A/D conversion ofnarrow band signals modulated on a carrier, as occurs in communicationsystems such as AM/FM receivers and mobile phones. Due to the nonlinearity of the quantizer in the feedback loop, a sigmadelta modulator may exhibit input signal dependent stabilityproperties. The same combination of the nonlinearity and the feedbackloop complicates the stability analysis. In Bandpass Sigma DeltaModulators, the describing function method is used to analyzethe stability of the sigma delta modulator. The linear gain modelcommonly used for the quantizer fails to predict small signalstability properties and idle patterns accurately. In Bandpass Sigma Delta Modulators an improved model for thequantizer is introduced, extending the linear gain model with a phaseshift. Analysis shows that the phase shift of a sampled quantizer isin fact a phase uncertainty. Stability analysis of sigma deltamodulators using the extended model allows accurate prediction of idlepatterns and calculation of small-signal stability boundaries for loopfilter parameters. A simplified rule of thumb is derived and appliedto bandpass sigma delta modulators. The stability properties have a considerable impact on the design ofsingle-loop, one-bit, high-order continuous-time bandpass sigma deltamodulators. The continuous-time bandpass loop filter structure shouldhave sufficient degrees of freedom to implement the desired(small-signal stable) sigma delta modulator behavior. Bandpass Sigma Delta Modulators will be of interest topracticing engineers and researchers in the areas of mixed-signal andanalog integrated circuit design.

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