1. AD/DA Conversion Techniques - An Overview J. G. Pett  Introductory tutorial lecture for :- ‘Analogue and digital techniques in closed-loop regulation applications’ 17/09/2002 for terminology see Analog Devices Inc.Analog Devices Inc.

2. AD/DA  Introduction to the subject  Understanding conversion methods Methods Parameters  The past, the present and the future

3. Introduction  What are AD/DA Converters  What are they used for  Why do you need to know how they work  Digital coding methods  Waveform digitising  CERN examples

4. What are AD/DA Converters (1)  An Analog to Digital converter [AD or ADC] is an electronic circuit which accepts an analog input signal (usually a voltage) and produces a corresponding digital number at the output  An Digital to Analog converter [DA or DAC] is an electronic circuit which accepts a digital number at its input and produces a corresponding analog signal (usually a voltage) at the output  They exist as modules, ICs, or fully integrated inside other parts, e.g. µCs

5. Photos

6. What are AD/DA Converters (2) ADC 1 DAC 1 ADC 2 COMPUTER or µP/µC 1216 Digital discrete time world Analog continuous time world Analog continuous time world The Real World Typical AD & DA Application +/-10v +/-5v +/-10v

7. What are they used for  Any time a real world analog signal is connected to a digital system  CD players, GSMs, DVMs, Digital Camcorders etc, etc  CERN control systems & instruments  HOWEVER, each application has particular needs Resolution - number of bits Speed and Accuracy Level of input/output waveforms Cost etc

8. Why do you need to know how they work  Because the theoretical course you will shortly undertake assumes perfect converter products - BUT  Practical converters have : Many conversion methods - why Trade-offs between resolution and speeds + delays Different methods of “sampling” the waveforms A large number of basic and method-dependent error sources Manufacturers specifications which ‘differ’ - AND  Almost all converters need some analog ‘signal conditioning’ which is application dependent

9. Digital coding methods (1)  8,10,12,14,16,18, 20-24bits?  Most/Least significant bit MSB/LSB  Uni-polar, bipolar, straight binary, 2’s complement - invert MSB  Parallel I/O or serial [delay]  Bytes or words  Double buffering  Digital ‘breakthrough’  Digital correction methods  Time skewing & jitter 0v +10v -10v 0000 FFFF 8000 AD/DA Transfer Characteristic 0000 7FFF FFFF 8000

10. Digital coding methods (2)  Resolution = 2 n -1 [n = number of bits] n 2 n 1bit ppm [1x10 -6 ] 8bits 2563906 10bits 1024 976 12bits 4096 244 14bits 16384 61 16bits 65536 15 18bits 262144 3.8 20bits 1,048576 0.95 22bits 4,194304 0.24 24bits16,777216 0.06

11. Waveform digitising (1)  A waveform is ‘digitised’ (sampled) at a constant rate  t  Each such sample represents the instantaneous amplitude at the instant of sampling  Between samples the value remains constant [zero order hold]  What errors can occur in this process ? time Digital value

12. Waveform digitising (2) A & B show aliasing in the time domain C & D show a different case in the frequency domain - it is important to understand these effects A B C D

13. Waveform digitising errors  For a DAC output waveform is a ‘distorted’ version of original higher frequencies not reproduced - aliasing ? ‘average shape’ displaced in time ‘sharp’ edges need filtering  For an ADC converter sampling errors with a ‘sample & hold’ circuit ahead of the converter? integrating action during part, or all of the sample-time ? conversion time data ‘available’ delay aliasing - [ is multiplication of input spectrum and fs] …[must ‘remove’ all spectrum > fs/2 before sampling]

14. Sampling rate  Nyquist rate = 2x highest frequency of interest  Practically, - always sample at least 5x, or higher  Ensure ADCs have input filtering [anti-alias] where necessary [large hf signals]  Filter DAC outputs to remove higher frequencies and switching ‘glitches’  ‘Over-sampling’ converters sample x4 to x500 - this may reduce above problems and/or extend resolution

15. CERN examples  Many PLCs with analog values, such as temperature, to measure : 10 - 12bit <10kHz  PS, SPS, LHC control instrumentation, such as power converter control, regulation and monitoring : 16 - 22bit <1kHz  Beam instrumentation, experiments : high speed: 10 - 12bit 25ns  ETC ETC

16. Photos 1969 ISR Beam-Transfer DAC [5 decimal decades] Relay switching Kelvin-Varley divider 1973 ISR Main Bends DAC [16bit binary All electronic switching

17. Photos ADC Sigma-Delta 1998 1989 LEP 16bit Hybrid DAC

18. Understanding Conversion Methods

19. AD/DA Methods  Some very simple ideas  DAC circuits  Basic ADC circuits Successive approximation, flash - S&H Integrating - single/dual/multi slope Charge balance, 

20. Some very simple ideas  ADC = precise reference voltage comparison of divider value with unknown [analog input] “digitally adjustable” divider or potentiometer [output value]  DAC = precise reference voltage ……. {multiplying dac} “digitally adjustable” divider or potentiometer [input value] optional output amplifier of pot. value [analog output] = ‘Digitally set’ potentiometer dial Comparator equal Vref Unknown voltage DAC ADC Vdac

21. DAC circuits (1) Summation of binary weighted currents Modern DACs use the ‘R-2R ladder’ Simplified binary weighted resistor DAC 8.75V 9.375 max. R - 2R ladder DAC

22. DAC circuits (2)  Important circuit concepts Resistor tracking - temp. & time > ratios Switch is part of R [on & off resistance] Limits for tracking and adjustment Switch transition times - glitches Switched current sources are faster  Other DAC methods DC performance not needed for all uses Different ladders, Caps. as well as Resistors PWM, F>V Sigma-Delta  Performance cannot be better than the Reference - {multiplying DAC concept}

23. Basic ADC circuits (1) Digitising begins with a ‘start’ pulse DAC is ramped up from zero counter stopped by comparator when Vin = DAC out ADC output is counter value Tracking ADC Simple ramp and comparator ADC startBinary output Unknown analog input

24. Basic ADC circuits (2)  This ADC circuit is limited and rarely used WHY - slow variable time to give result input signal can vary during digitising  Successive Approximation ADC solves these problems - using complex logic to test and retain each DAC bit a sample and hold circuit ahead of the comparator

25. Successive Approximation ADC Fast process - 1 - 100µsecs Result always n clocks after start Used extensively for 12-16bit DAQ systems

26. Flash ADC The fastest process <50nsecs Limited resolution typically 8 - 10bits Half-flash technique is cheaper Flash Half-Flash analog input analog input Vref

27. Sample & Hold Circuit (1) Essential for defining the ‘exact’ moment of sampling Circuit introduces other error sources [ see (2) ] LF398

28. Sample & Hold Circuit (2) Storage Capacitor Waveform