Why another book on sampling theory and analog-to-digital conversion? This book takes a linear system theory approach to analog-to-digital conversion. From linear systems theory, we introduce sampling theory and use the tools from linear system theory to prove Shannon's sampling theorem. Shannon's sampling theorem shows how an analog signal can be converted to a discrete time signal and how the original can be exactly recovered from the discrete time signal. Digital is an approximation to discrete time so exact reconstruction is not possible; however, practically speaking the reconstructed signal is identical to the original analog signal. Digital is more than just 1's and 0's. Digital technology is universal. Once data is in digital form, it can be converted from one digital format to another without any additional loss of information (excluding lossy data compression). We use linear system theory and the sampling theorem to derive the model for an ideal analog to digital converter. We derive performance metrics from the ideal model. The performance metrics are put to good use to illustrate how to test and evaluate an analog-to-digital converter. Applications motivate the reader to apply concepts learned. More complex applications lead the reader to an introduction to software defined radios. Appendices provide summaries of the sampling theorem, communications engineering units, transform tables, and ADC model. Chapter 1 begins by introducing the digital world. Money is used to introduce analog, discrete, and digital. Chapter 2 starts off with a simple description of linear systems. Chapter 2 takes the reader from algebra, calculus, differential equations, Fourier transforms, and back to algebra. We want the reader to have a basic understanding of signal processing. Linear system theory provides the tools to prove the sampling theorem in Chapter 3. A graphical proof and analytical proof of the sampling theorem are presented in Chapter 4. We show why wagon wheels turn backwards in Western movies. Chapter 5 covers the binary math, we need to work with analog-to-digital converters. Code examples are provided for the "software interface" for an analog-to-digital converter. A useful part of Chapter 5 is how to solve the problem of a signed 10 bit analog-to-digital converter connected to a 16 bit microprocessor. The ideal analog-to-digital converter model is developed in Chapter 6. Chapter 7 introduces some common analog-to-digital converters: flash, pipeline, successive approximation register, and delta sigma (ΔΣ). Performance metrics and testing of analog-to-digital converters are found in Chapter 8. Chapter 9 presents sampling and analog-to-digital conversion applications. Chapter 10 covers a brief introduction to analog-to-digital converter datasheets focused on software defined radio applications. Chapter 11 presents an introduction to radio receiver block diagrams and finishes with a short introduction to software defined radios. Chapter 11 completes the journey from linear systems, to sampling theory, to analog-to-digital converters, and then the most useful part, applications. We hope this book serves as a good stepping stone to more complex applications. As computer power continues to increase and costs continue to drop, new applications will be found for the future. Be part of developing the future. If you have any suggestions for improvements, or find errors please email the book author (see book preface).

This textbook is appropriate for use in graduate-level curricula in analog-to-digital conversion, as well as for practicing engineers in need of a state-of-the-art reference on data converters. It discusses various analog-to-digital conversion principles, including sampling, quantization, reference generation, nyquist architectures and sigma-delta modulation. This book presents an overview of the state of the art in this field and focuses on issues of optimizing accuracy and speed, while reducing the power level. This new, third edition emphasizes novel calibration concepts, the specific requirements of new systems, the consequences of 22-nm technology and the need for a more statistical approach to accuracy. Pedagogical enhancements to this edition include additional, new exercises, solved examples to introduce all key, new concepts and warnings, remarks and hints, from a practitioner's perspective, wherever appropriate. Considerable background information and practical tips, from designing a PCB, to lay-out aspects, to trade-offs on system level, complement the discussion of basic principles, making this book a valuable reference for the experienced engineer.

This comprehensive new handbook is a one-stop engineering reference covering data converter fundamentals, techniques, and applications. Beginning with the basic theoretical elements necessary for a complete understanding of data converters, the book covers all the latest advances made in this changing field. Details are provided on the design of high-speec ADCs, high accuracy DACs and ADCs, sample-and-hold amplifiers, voltage sources and current reference,noise-shaping coding, sigma-delta converters, and much more.

This excellent Senior undergraduate/graduate textbook offers an unprecedented measurement of science perspective on DSP theory and applications, a wealth of definitions and real-life examples making it invaluable for students, while practical.

Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.

The goal of this book is to encourage the reader to become proficient in the analysis and design of circuits utilizing modern linear integrated circuits. It progresses from the fundamental circuit building blocks through to analog and digital conversion systems. A methodical step-by-step presentation introduces the basic idealized operational amplifiers and eventually examines practical limitations in great detail. Each chapter has a problem set and contains extended topic to present extra discussion and details about the subject.

This new edition introduces operation and design techniques for Sigma-Delta converters in physical and conceptual terms, and includes chapters which explore developments in the field over the last decade Includes information on MASH architectures, digital-to-analog converter (DAC) mismatch and mismatch shaping Investigates new topics including continuous-time ΔΣ analog-to-digital converters (ADCs) principles and designs, circuit design for both continuous-time and discrete-time ΔΣ ADCs, decimation and interpolation filters, and incremental ADCs Provides emphasis on practical design issues for industry professionals

High Speed Data Converters covers high speed data converters from the perspective of a leading high speed ADC designer and architect, with a strong emphasis on high speed Nyquist A/D converters. For our purposes, the term "high speed" is defined as sampling rates that are greater than 10 MS/s. The book is intended for engineers and students who design, evaluate or use high speed data converters. A basic foundation in circuits, devices and signal processing is required. The book is meant to bridge the gap between analysis and design, theory and practice, circuits and systems. It covers basic analog circuits and digital signal processing algorithms. There is a healthy dose of theoretical analysis in this book, combined with the practical issues and intuitive perspectives. Topics covered include: * Introduction to high-speed data conversion * Performance Metrics * Data Converter Architectures * Sampling * Comparators * Amplifiers * Pipelined A/D Converters * Time-interleaved Converters * Digitally Assisted Converters * Evolution and Trends

The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: • Compressed sensing• Non-uniform and wave sampling• A-to-D conversion• Finite rate of innovation• Time-frequency analysis• Operator theory• Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.