Bandpass Sigma Delta Modulators: Stability Analysis, Performance and Design Aspects
Autor Jurgen van Engelen, Rudy J. van de Plasscheen Limba Engleză Hardback – 31 oct 1999
Due to the nonlinearity of the quantizer in the feedback loop, a sigma delta modulator may exhibit input signal dependent stability properties. The same combination of the nonlinearity and the feedback loop complicates the stability analysis. In Bandpass Sigma Delta Modulators, the describing function method is used to analyze the stability of the sigma delta modulator. The linear gain model commonly used for the quantizer fails to predict small signal stability properties and idle patterns accurately.
In Bandpass Sigma Delta Modulators an improved model for the quantizer is introduced, extending the linear gain model with a phase shift. Analysis shows that the phase shift of a sampled quantizer is in fact a phase uncertainty. Stability analysis of sigma delta modulators using the extended model allows accurate prediction of idle patterns and calculation of small-signal stability boundaries for loop filter parameters. A simplified rule of thumb is derived and applied to bandpass sigma delta modulators.
The stability properties have a considerable impact on the design of single-loop, one-bit, high-order continuous-time bandpass sigma delta modulators. The continuous-time bandpass loop filter structure should have sufficient degrees of freedom to implement the desired (small-signal stable) sigma delta modulator behavior.
Bandpass Sigma Delta Modulators will be of interest to practicing engineers and researchers in the areas of mixed-signal and analog integrated circuit design.
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Specificații
ISBN-13: 9780792386988
ISBN-10: 0792386981
Pagini: 188
Ilustrații: XVI, 188 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.48 kg
Ediția:2000
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 0792386981
Pagini: 188
Ilustrații: XVI, 188 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.48 kg
Ediția:2000
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Introduction.- 2 Quantization and Sampling.- 3 Noise Shaping Concepts.- 4 Performance.- 5 Stability.- 6 Design of Continuous time Bandpass SDMs.- 7 SDM Implementations.- 8 Conclusion and Discussion.- References.- List of Acronyms.- List of Symbols.- A Modulator Response to Input Signals.- B Root Locus Search Method.- C Algorithm for Finding a Stability Boundary.- D Example VHDL description of a digital SDM.- About the Authors.