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

Norsworthy, Steven R. 1996

This comprehensive guide offers a detailed treatment of the analysis, design, simulation and testing of the full range of today's leading delta-sigma data converters. Written by professionals experienced in all practical aspects of delta-sigma modulator design, Delta-Sigma Data Converters provides comprehensive coverage of low and high-order single-bit, bandpass, continuous-time, multi-stage modulators as well as advanced topics, including idle-channel tones, stability, decimation and interpolation filter design, and simulation.


Why Read This Book

You should read this book if you need a rigorous, practical foundation in delta-sigma modulator theory and end-to-end converter design. It teaches both the analytical tools and simulation practices you’ll use to design, analyze, and verify modern sigma-delta ADCs/DACs, including decimation/interpolation filter design and stability/idle-tone issues.

Who Will Benefit

Practicing DSP and mixed-signal engineers or graduate students who design or validate ADC/DAC front ends for audio, communications, and instrumentation systems.

Level: Advanced — Prerequisites: Undergraduate-level knowledge of signals and systems (sampling, linear systems, z-transform), basic probability/quantization theory, and familiarity with digital filter design and circuit simulation concepts.

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Key Takeaways

  • Analyze the linearized and nonlinear behavior of delta-sigma modulators and characterize noise shaping
  • Design and optimize single-bit, multi-bit, bandpass, and multi-stage (MASH) delta-sigma architectures
  • Simulate converter behavior and identify practical issues such as idle-channel tones and stability limitations
  • Design decimation and interpolation filters (multirate DSP) matched to modulator output specifications
  • Apply continuous-time versus discrete-time design trade-offs and translate behavioral models into circuit considerations

Topics Covered

  1. Introduction and Historical Context of Delta-Sigma Conversion
  2. Quantization, Noise, and Linearized Models
  3. Performance Metrics and Design Specifications
  4. Low-Pass Single-Bit Delta-Sigma Modulators
  5. Multi-Bit and Error-Feedback Architectures
  6. Bandpass Delta-Sigma Modulators
  7. Continuous-Time Delta-Sigma Modulators
  8. Multi-Stage (MASH) Modulator Design
  9. Stability, Limit Cycles, and Idle-Channel Tones
  10. Decimation and Interpolation Filter Design (Multirate DSP)
  11. Behavioral and Circuit-Level Simulation Techniques (MATLAB/SPICE)
  12. Implementation Issues and Practical Design Examples
  13. Testing, Measurement, and Verification of Converters
  14. Case Studies and Design Recipes

Languages, Platforms & Tools

MATLABMATLAB/Octave (behavioral simulation)SPICE (circuit-level simulation)

How It Compares

Covers similar foundational ground to Schreier & Temes' later 'Understanding Delta-Sigma Data Converters' (which is more up-to-date), and complements general ADC design texts by focusing deeply on modulator theory and decimation filter integration.

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