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Oversampling Delta-Sigma Data Converters: Theory, Design, and Simulation

Candy, James C. 1991

This now famous anthology brings together various aspects of oversampling methods and compares and evaluates design approaches. It describes the theoretical analysis of converter performances, the actual design of converters and their simulation, circuit implementations, and applications.


Why Read This Book

You should read this book if you need a deep, rigorous grounding in oversampling delta-sigma converters — from quantization and noise-shaping theory through practical design and simulation. It brings together classic analyses and design examples so you can both understand the fundamentals and apply them to real converter and decimation-filter designs.

Who Will Benefit

Engineers and advanced students working on ADC/DAC design, high-resolution audio converters, or decimation/filter design who need both theoretical foundations and practical design/simulation guidance.

Level: Advanced — Prerequisites: Solid background in signals and systems (z-transform, sampling), probability/statistics for quantization noise, linear systems and digital filter design; some familiarity with analog circuits and familiarity with MATLAB or SPICE is helpful.

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Key Takeaways

  • Understand the theory of oversampling and noise shaping and how they lower in-band quantization noise.
  • Design and analyze first- and higher-order delta-sigma modulators, including stability and nonideal effects.
  • Implement and size decimation and reconstruction filters for oversampled converters using multirate techniques.
  • Simulate converter behavior and evaluate performance metrics (SNR, THD, dynamic range) using behavioral and circuit-level models.
  • Assess practical circuit implementation trade-offs for switched-capacitor and continuous-time designs.
  • Apply delta-sigma architectures to real problems in audio, instrumentation, and communications with worked design examples.

Topics Covered

  1. Introduction to Oversampling and Delta-Sigma Conversion
  2. Quantization Theory and Noise Analysis
  3. Oversampling and Noise-Shaping Principles
  4. First-Order Delta-Sigma Modulators
  5. Higher-Order and Multi-Loop Modulator Architectures
  6. Multi-Bit Delta-Sigma Modulators and DAC Issues
  7. Stability, Limit Cycles, and Nonlinear Effects
  8. Decimation, Interpolation and Multirate Filter Design
  9. Simulation Techniques and Behavioral Modeling
  10. Circuit Implementations: Switched-Capacitor and Continuous-Time
  11. Design Examples and Application Case Studies (audio, instrumentation, comms)
  12. Practical Considerations: Clocking, Jitter, and Layout
  13. Appendices: Mathematical Tools and Program Listings

Languages, Platforms & Tools

MATLABCGeneral ADC/DAC hardwareSwitched-capacitor circuitsContinuous-time converter implementationsSPICE (circuit simulation)Behavioral simulation (MATLAB/Simulink)Custom numerical simulation code

How It Compares

An essential precursor to Schreier & Temes' later 'Understanding Delta-Sigma Data Converters' — Candy's book is more of a classic anthology emphasizing foundational theory and early design practice, while Schreier & Temes provides a more modern, cohesive tutorial with updated tools and implementation techniques.

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