Oversampled Delta-Sigma Modulators - Kale, Izzet

. .

Résumé :
Oversampled Delta-Sigma Modulators: Analysis, Applications, and Novel Topologies presents theorems and their mathematical proofs for the exact analysis of the quantization noise in delta-sigma modulators. Extensive mathematical equations are included throughout the book to analyze both single-stage and multi-stage architectures. It has been proved that appropriately set initial conditions generate tone free output, provided that the modulator order is at least three. These results are applied to the design of a Fractional-N PLL frequency synthesizer to produce spurious free RF waveforms. Furthermore, the book also presents time-interleaved topologies to increase the conversion bandwidth of delta-sigma modulators. The topologies have been generalized for any interleaving number and modulator order. The book is full of design and analysis techniques and contains sufficient detail that enables readers with little background in the subject to easily follow the material in it.

Sommaire:
Preface. 1: Introduction. 1.1. Aims and Motivations. 1.2. Original Contributions. 1.3. Outline of the Research Monograph. 2: Basic Principles of Delta-Sigma Modulation. 2.1. Nyquist Rate Converters. 2.2. Quantization Noise. 2.3. Oversampling Advantage. 2.4. DeltaSigma Modulation. 2.5. Limit Cycle Oscillations and Tones. 2.6. Higher Order DeltaSigma Modulators. 2.7. Multi-Bit DeltaSigma Converters. 2.8. State-of-the-art Analysis. 3: Analysis of Mash Delta-Sigma Modulators with DC Inputs. 3.1. Introduction. 3.2. Non-Linear Difference Equations. 3.3. Statistics of the Quantizer Error Sequence. 3.4. Simulation Results. 3.5. Output Spectrum. 3.6. Digital Realization of Irrational Initial Condition. 3.7. Conclusion. 4: Analysis of Single-Stage Delta-Sigma Modulators with DC Inputs. 4.1. Motivation behind the Work. 4.2. Uniform Quantizer in the No-Overload Region. 4.3. Non-Linear Difference Equations. 4.4. No-Overload Stability Criterion. 4.5. Solution to the Non-Linear Difference Equation. 4.6. Statistics of the Quantizer Error Sequence. 4.7. Fundamental Result. 4.8. Simulation Results. 4.9. Output Spectrum. 4.10. Error-Feedback Topology. 4.11. Conclusion. 5: Fractional-N PLL Frequency Synthesizers. 5.1. Introduction. 5.2. Analysis of PLLs. 5.3. The Fractional-N Concept. 5.4. Design and Simulation of Fractional-N PLL Frequency Synthesizers. 5.5. Pipelined Implementation of Mash &Dgr;&Sgr; Modulators. 5.6. Conclusion. 6: Time-Interleaved Delta-Sigma Modulators. 6.1. Introduction. 6.2. Block Digital Filtering Approach. 6.3. Time-Interleaved &Dgr;&Sgr; Modulators with Reduced Complexity. 6.4. Simulations. 6.5. Implementation Issues. 6.6. Hardware Comparison. 6.7. Higher-Order Time-Interleaved &Dgr;&Sgr; Modulators. 6.8. Zero-Insertion Interpolation Time-Interleaving. 6.9. Further Practical Issues. 6.10. Conclusion. References.