ANALOG-DIGITAL CONVERSION Walt Kester Editor a Acknowledgments: Thanks are due the many technical staff members of Analog Devices in Engineering, Marketing, and Applications who provided invaluable inputs during this project. Particular credit is give to the individual authors whose names appear at the beginning of their material. Special thanks go to Brad Brannon, Wes Freeman, Walt Jung, Bob Marwin, Hank Zumbahlen, and Scott Wayne who reviewed the material for accuracy. Dan Sheingold graciously provided material from his classic 1986, Analog-Digital Conversion Handbook. A thank you also goes to ADI management, for encouragement and support of the project. Judith Douville compiled the index and also offered many helpful manuscript comments. Walt Kester, March 2004 ADI Central Applications Department Direct questions to [email protected], with a subject line of "Analog-Digital Conversion" Copyright © 2004 By Analog Devices, Inc. Printed in the United States of America ISBN 0-916550-27-3 All rights reserved. This book, or parts thereof, must not be reproduced in any form without permission of the copyright owner. Information furnished by Analog Devices, Inc. is believed to be accurate and reliable. However, no responsibility is assumed by Analog Devices, Inc. for its use. Analog Devices, Inc. makes no representation that the interconnections of its circuits as described herein will not infringe on existing or future patent rights, nor do the descriptions contained herein imply the granting of licenses to make, use, sell equipment constructed in accordance therewith. Specifications are subject to change without notice. ANALOG-DIGITAL CONVERSION 1. Data Converter History 2. Fundamentals of Sampled Data Systems 3. Data Converter Architectures 4. Data Converter Process Technology 5. Testing Data Converters 6. Interfacing to Data Converters 7. Data Converter Support Circuits 8. Data Converter Applications 9. Hardware Design Techniques I. Index DATA CONVERTER HISTORY ANALOG-DIGITAL CONVERSION (cid:139) 1. Data Converter History 1.1 Early History 1.2 Data Converters of the 1950s and 1960s 1.3 Data Converters of the 1970s 1.4 Data Converters of the 1980s 1.5 Data Converters of the 1990s 1.6 Data Converters of the 2000s 2. Fundamentals of Sampled Data Systems 3. Data Converter Architectures 4. Data Converter Process Technology 5. Testing Data Converters 6. Interfacing to Data Converters 7. Data Converter Support Circuits 8. Data Converter Applications 9. Hardware Design Techniques I. Index ANALOG-DIGITAL CONVERSION DATA CONVERTER HISTORY 1.1 EARLY HISTORY CHAPTER 1 DATA CONVERTER HISTORY Walt Kester Chapter Preface This chapter was inspired by Walt Jung's treatment of op amp history in the first chapter of his book, Op Amp Applications (Reference 1). His writing on the subject contains references to hundreds of interesting articles, patents, etc., which taken as a whole, paints a fascinating picture of the development of the operational amplifier—from Harold Black's early feedback amplifier sketch to modern high performance IC op amps. We have attempted to do the same for the history of data converters. In considering the scope of this effort—and the somewhat chaotic and fragmented development of data converters—we were faced with a difficult challenge in organizing the material. Rather than putting all the historical material in this single chapter, we have chosen to disperse some of it throughout the book. For instance, most of the historical material related to data converter architectures is included in Chapter 3 (Data Converter Architectures) along with the individual converter architectural descriptions. Likewise, Chapter 4 (Data Converter Process Technology) includes most of the key events related to data converter process technology. Chapter 5 (Testing Data Converters) touches on some of the key historical developments relating to data converter testing. In an effort to make each chapter of this book stand on its own as much as possible, some of the historical material is repeated in several places—therefore, the reader should realize that this repetition is intentional and not the result of careless editing. SECTION 1.1: EARLY HISTORY It is difficult to determine exactly when the first data converter was made or what form it took. The earliest recorded binary DAC known to the authors of this book is not electronic at all, but hydraulic. Turkey, under the Ottoman Empire, had problems with its public water supply, and sophisticated systems were built to meter water. One of these is shown in Figure 1.1 and dates to the 18th Century. An example of an actual dam using this metering system was the Mahmud II dam built in the early 19th century near Istambul and described in Reference 2. The metering system used reservoirs (labeled header tank in the diagrams) maintained at a constant depth (corresponding to the reference potential) by means of a spillway over which water just trickled (the criterion was sufficient flow to float a straw). This is illustrated in Figure 1.1A. The water output from the header tank is controlled by gated binary-weighted nozzles submerged 96 mm below the surface of the water. The output of the nozzles feeds an output trough as shown in Figure 1.1B. The nozzle sizes corresponded to flows of binary multiples and sub-multiples of the basic unit of 1 lüle (= 36 l/min or 52 m3/day). An eight-lüle nozzle was known as a "sekizli lüle," a 1.1 ANALOG-DIGITAL CONVERSION four lüle nozzle a "dörtlü lüle," a ¼ lüle nozzle a "kamuş," an eighth lüle a "masura," and a thirty-second lüle a "çuvaldiz." Details of the metering system using the binary weighted nozzles are shown in Figure 1.1C. This is functionally an 8-bit DAC with manual (rather than digital, no doubt) input and a wet output, and it may be the oldest DAC in the world. There are probably other examples of early data converters, but we will now turn our attention to those based on more familiar electronic techniques. NOZZLES WATER 96mm INPUT WATER HEADER FROM SPILLWAY LEVEL TANK DAM 96mm HEADER OUTPUT TANK TROUGH NOZZLES (A) HEADER SYSTEM: Note-The spillway (B) SECTIONAL VIEW OF METERING SYSTEM and the nozzles need different outlets (C) TOP VIEW OF METERING SYSTEM DETAILS SHOWING 8 BINARY BINARY WEIGHTED HEADER WATER WEIGHTED NOZZLES TANK INPUT NOZZLES Adapted from: FROM Kâzim Çeçen, "Sinan'sWater Supply DAM System in Istambul," IstambulTechnical University / OUTPUT IstambulWater and Sewage Administration, TROUGH IstambulTurkey, 1992-1993, pp. 165-167. SPILLWAY Figure 1.1: Early 18th Century Binary Weighted Water Metering System Probably the single largest driving force behind the development of electronic data converters over the years has been the field of communications. The telegraph led to the invention of the telephone, and the subsequent formation of the Bell System. The proliferation of the telegraph and telephone, and the rapid demand for more capacity, led to the need for multiplexing more than one channel onto a single pair of copper conductors. While time division multiplexing (TDM) achieved some measure of popularity, frequency division multiplexing (FDM) using various carrier-based systems was by far the most successful and widely used. It was pulse code modulation (PCM), however, that put data converters on the map, and understanding its evolution is where we begin. The material in the following sections has been extracted from a number of sources, but K. W. Cattermole's classic 1969 book, Principles of Pulse Code Modulation (Reference 3), is by far the most outstanding source of historical material for both PCM and data converters. In addition to the historical material, the book has excellent tutorials on sampling theory, data converter architectures, and many other topics relating to the subject. An extensive bibliography cites the important publications and patents behind the major developments. In addition to Cattermole's book, the reader is also referred to an 1.2 DATA CONVERTER HISTORY 1.1 EARLY HISTORY excellent series of books published by the Bell System under the title of A History of Engineering and Science in the Bell System (References 4 through 8). These Bell System books are also excellent sources for background material on the entire field of communications. The Early Years: Telegraph to Telephone According to Cattermole (Reference 3), the earliest proposals for the electric telegraph date from about 1753, but most actual development occurred from about 1825-1875. Various ideas for binary and ternary numbers, codes of length varying inversely with probability of occurrence (Schilling, 1825), reflected-binary (Elisha Gray, 1878—now referred to as the Gray code), and chain codes (Baudot, 1882) were explored. With the expansion of telegraphy came the need for more capacity, and multiplexing more than one signal on a single pair of conductors. Figure 1.2 shows a typical telegraph key and some highlights of telegraph history. (cid:139) Telegraph proposals: Started 1753 (cid:139) Major telegraph development: 1825 - 1875 (cid:139) Various binary codes developed (cid:139) Experiments in multiplexing for increased channel capacity (cid:139) Telephone invented: 1875 by A. G. Bell while working on a telegraph multiplexing project (cid:139) Evolution: (cid:122) Telegraph: Digital (cid:122) Telephone: Analog (cid:122) Frequency division multiplexing (FDM): Analog (cid:122) Pulse code modulation (PCM): Back to Digital Figure 1.2: The Telegraph The invention of the telephone in 1875 by Alexander Graham Bell (see References 9 and 10) was probably the most significant event in the entire history of communications. It is interesting to note, however, that Bell was actually experimenting with a telegraph multiplexing system (Bell called it the harmonic telegraph) when he recognized the possibility of transmitting the voice itself as an analog signal. Figure 1.3 shows a diagram from Bell's original patent which puts forth his basic proposal for the telephone. Sound vibrations applied to the transmitter A cause the membrane a to vibrate. The vibration of a causes a vibration in the armature c which induces a current in the wire e via the electromagnet b. The current in e produces a corresponding fluctuation in the magnetic field of electromagnet f, thereby vibrating the receiver membrane i. 1.3 ANALOG-DIGITAL CONVERSION Extracted from U.S. Patent 174,465, Filed February 14, 1876, Issued March 7, 1876 Figure 1.3: The Telephone The proliferation of the telephone generated a huge need to increase channel capacity by multiplexing. It is interesting to note that studies of multiplexing with respect to telegraphy led to the beginnings of information theory. Time division multiplexing (TDM) for telegraph was conceived as early as 1853 by a little known American inventor, M. B. Farmer; and J. M. E. Baudot put it into practice in 1875 using rotating mechanical commutators as multiplexers. In a 1903 patent (Reference 11), Willard M. Miner describes experiments using this type of electromechanical rotating commutator to multiplex several analog telephone conversations onto a single pair of wires as shown in Figure 1.4. Quoting from his patent, he determined that each channel must be sampled at "… a frequency or rapidity approximating the frequency or average frequency of the finer or more complex vibrations which are characteristic of the voice or of articulate speech, …, as high as 4320 closures per second, at which rate I find that the voice with all its original timbre and individuality may be successfully reproduced in the receiving instrument. … I have also succeeded in getting what might be considered as commercial results by using rates of closure that, comparatively speaking, are as low as 3500 closures per second, this being practically the rate of the highest note which characterizes vowel sounds." At higher sampling rates, Miner found no perceptible improvement in speech quality, probably because of other artifacts and errors in his rather crude system. 1.4