EE 230 Lecture 37. Data Converters. ADC and DAC Architectures

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EE 230 Lecture 37 Data Converters ADC and DAC Architectures

Study Abroad Opportunities The increasing role Asia is playing in both the engineering field and the world s economy is unlike anything we have seen in many decades All indicators suggest that this role will become even more significant in the future Both opportunities and expectations in the field will invariable show increased alignment with business and engineering in a global economy Understanding the culture and the environment of engineers working in Asia will offer substantial benefits for many/most engineers in the short-term and will likely be expected of many/most engineers within a decade

Taiwan s s Education System Doctoral Program (3-7) Master s s Program (2-3) University & College (4) Senior High School (3) Tech. Univ. & Col. (4) Tech. Univ. & Col. (2) 2-year Jr. Col. Sr. Vocational High School (3) 5-year Jr. Col. Junior High School (3) Elementary School (6)

Have identified two schools in Taiwan that will offer selected courses to ISU students in English Courses pre-approved so that progress towards graduation is not delayed Revenue neutral exchange (often costs less than spending the time in Ames) Internship opportunity often provided

Current Status / Academics College Engineering Elec. Eng. & Comp. Sci. Management Design Liberal Arts & Soc. Sci. Honors Mech. Electronic Industrial Architecture Applied Foreign Lang. University Inter-discipline Department Polymer Construction Electrical Computer Science & Information Business Information Industrial & Commercial Design Design Humanities General Education Engineering Chemical Electro- Optical MBA Technological & Vocational Education Graduate Institute Automation & Control Materials Science & Technology EMBA Management Finance Technology Management 13 Departments 21 Graduate Institutes

Research Achievements High-rise Building Earthquake-Resistant Beam Patent Patent used in almost 86 buildings and in the Taipei 101 Skyscraper HPC Patent Used in Tuntex Sky Tower, Kaohsiung

Research Centers Automation & Control Center Center for Intelligent Robots Center for the Study of Lottery & Commercial Gaming Communication & Electromagnetic Technology Center Construction Occupation Health & Safety Center Ecological & Hazard Mitigation Engineering Research Center Expensive Instrument Center Materials Science & Technology Center Nanotechnology Engineering Center Opto-Mechatronics Technology Center Power Electronics Technology Center Taiwan Information Security Center

Research Centers Opto-Mechatronics Technology Center Opto-Mechatronics component design & manufacturing Low db Plastic Optical Fiber Opto-Mechatronics sub-system Disk Array heat transfer analysis Opto-Mechatronics system design & integration Double-wave length laser light Micro-drill Laser inspection system

45 45 羅 斯 福 路 Research Centers Communication and Electromagnetic Technology Major Research Topics Miniature Chip Antennas Radio-Frequency Identification (RFID) Antennas and Wave Propagation for Wireless Communications RF, Microwave, and Millimeter Wave Circuits Communication Systems Integrated Circuit Designs Electromagnetic Interferences at Power and Radio Frequencies Electromagnetic Properties of Materials Center Multi-function Anechoic Chamber Planar/Cylindrical Near Field Measurement Chamber Far Field Measurement Anechoic Chamber EMC Semi-anechoic Chamber 辛 亥 路 Radiation Beams 新 生 南 路 Array Antenna Excitation 45 degree phase adjustment section Crossover (0dB branch-line coupler) 3dB branch-line coupler Received Power (dbm) -30-40 -50-60 -70-80 Measurements Simulations 基 地 台 Mean error =4.4dB Standard deviation =18.5dB -90-100 0 20 40 60 80 100 120 140 160 180 200 220 Receiving antenna moved distance (m) NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY

Research Centers Center for Intelligent Robots Robot Theater Dancing, Singing, Imitation show Drawing etc. DOC-2 Intelligent Robot DOC-1 & DOC-2 Teach English Spelling Solve Algebraic Problem Play Gobang, Chess and Chinese Chess Recognize Human Faces Interpret Facial Expressions

Taiwan Building Technology Center Building Energy Efficiency and Renewable Energy Center Building Structure and Hazard Mitigation Center Green Building Materials Center Intelligent Building Research Center New Generation Building Systems Center Steel Structure Engineering Center

International Partnerships U.S. Ohio State Univ., Univ. of California-Berkeley, Tulane Univ., Univ. of Kansas, Rochester Inst. of Technology, etc. Central America Univ. of San Carlos, etc. Europe Univ. of Leeds, ETH Zurich, EPF Lausanne, Ecole Speciale D'Architecture, Univ. Rene Descartes Paris, Czech Technical Univ./Prague, etc. Australia Queensland Univ. of Technology, etc. Asia Kanagawa Univ., Tokyo University, Moscow State Technical Univ., Moscow Aviation Inst., Institut Teknologi Sepuluh Nopember, Institut Teknologi Bandung, Univ. of Mongolia, Univ. of the Philippines

Study Abroad Opportunities in Asia Programs exist with both Tatung University and National Taiwan University of Science and Technology both are in Taipei Both are good schools and both should provide a good study abroad opportunity If interested in either program make the following contacts: Tatung University Prof. Morris Chang (ISU coordinator) or Prof. Randy Geiger National Taiwan University of Science and Technology Prof. Randy Geiger (ISU coordinator)

Review from Last Time: Engineering Issues for Using Data Converters 1. Inherent with Data Conversion Process Amplitude Quantization Time Quantization (Present even with Ideal Data Converters) 2. Nonideal Components Uneven steps Offsets Gain errors Response Time Noise (Present to some degree in all physical Data Converters) How do these issues ultimately impact performance?

Review from Last Time: ADC Architectures Essentially all ADCs use one or more comparators to convert an analog signal to a digital signal. They typically include some other analog circuitry and some digital circuitry V IN Analog Circuits (typically summers, amplifiers, and filters) n X OUT Logic Circuits

Review from Last Time: Types of ADCs Flash Pipelined Folded Serial Single-slope Dual-slope Interpolating Iterative (Algorithmic, Cyclic) Successive Approximation (SAR) Oversampled (Delta-Sigma) Charge Redistribution Several others

Review from Last Time: Types of ADCs Flash ADC

Review from Last Time: Types of ADCs Pipelined ADC

Review from Last Time: Types of ADCs Cyclic ADC IN LK h MUX h Gain/Shift Stage n 1 r <b 1 > n OUT

Types of ADCs Single-Slope ADC Counter counts up to <1 1 1,,, 1> when ramp reaches V REF

Types of ADCs Dual-Slope ADC Integrator ramps up from 0 for fixed time with X IN as input Integrator then ramps down with X REF as input and counter stops when reaches 0

Types of ADCs SAR ADC IN Successive Approximation Register OUT REF

Types of ADCs Over-sampled ADC (Delta-Sigma) ADC is often simply a comparator CLK is much higher in frequency than effective sampling rate (maybe 128:1) Can obtain very high resolution but effective sampling rate is small

Metastability High-gain amplifier VOUT VIN for some input values, output may not be at a level that is predictably interpreted by subsequent logic circuits this range can be very small if the gain is large enough Bistable amplifier Bistable amplifier will always make a decision For any fixed finite time T, there is always a small nonzero probability that the decision will not be made in time T This probability can be made very low through proper circuit design techniques but never made to be zero

Metastability Metastability in ADCs caused by comparators A comparator is said to be in a metastable state if the output of the comparator can not be interpreted by subsequent digital logic For any finite time T, any comparator that has been asked to make a binary decision has a finite nonzero probability P that subsequent logic will not correctly interpret the output In the interval of length T This probability can be made very low through proper circuit design techniques but never made to be zero Metastability in ADCs caused by transient conditions in logic circuits Due to asynchronous operation of the ADC Can be eliminated by circuit modifications that make operation synchronous or by appropriate timing of asynshronous operation

Metastability Flash ADC Pipelined Interpolating Successive Approximation (SAR) Serial Iterative (Algorithmic, Cyclic) Folded Oversampled (Delta-Sigma) Dual-slope Singleslope Charge Redistribution Metastability can never be eliminated in an ADC, its effects can just be reduced to a level that results in an acceptably low probability of causing an unacceptable outcome

Types of DACs Current steering R-String Ladder (R-2R) Parallel Pipelined Subranging Charge Redistribution Algorithmic Serial Subranging Oversampled (Delta-Sigma) Several others

R-string DAC Types of DACs

Types of DACs Interpolating DAC V RFF R R R R R X R X R R R X R X V OUT R R R X R X

Types of DACs Interpolating DAC V RFF R R R R X R R X R X V OUT R R X V OUT R R X R R X R LOGIC LOGIC X MSB n 1 X LSB n 2

Types of DACs Current-steering DAC V RFF I 1 I 2 I k X IN n S 1 S 2 S k R V OUT

Ladder DAC (R-2R) Types of DACs

Types of DACs Charge-Redistribution DAC C C= 2 k k-1

Observation: Most of the ADCs and DACs use switches Switches used in DACs and ADCs DAC Usually switches are simple a single MOS transistor or two MOS transistors

Engineering Issues for Using Data Converters Much like with an op amp, it is essential that the engineer be familiar with the nonideal characteristics of a data converter to effectively use it Much like an op amp, the engineer need not know much detail about the internal operations of the data converter to use them effectively

Engineering Issues for Using Data Converters 1. Inherent with Data Conversion Process Amplitude Quantization Time Quantization Present even with Ideal Data Converters 2. Nonideal Components Uneven steps Offsets Response Time Noise Present to some degree in all physical Data Converters How do these issues ultimately impact performance?

Engineering Issues for Using Data Converters Inherent with Data Conversion Process Time Quantization Amplitude Quantization How do these issues ultimately impact performance?

Time Quantization Sampling Theorem Aliasing Anti-aliasing Filters Analog Signal Reconstruction

Time Quantization For convenience, consider a sinusoidal signal 1 f= T Consider a positive-edge triggered sampling clock signal f CLK 1 = T CLK

Time Quantization Time-quantized samples of signal

Time Quantization Time-quantized samples of signal [V 1,V 2, V m ] Once time-quantized, the samples become a sequence of real numbers and the time axis need no longer be specified (the time where the first sample was taken and the clock period may be recorded as real numbers as well)

Time Quantization Time-quantized samples of signal All information about original signal between the sample points is lost when the signal is sampled

Time Quantization Time-quantized samples of signal All information about original signal between the sample points is lost when the signal is sampled How often must a signal be sampled so that enough information about the original signal is available in the samples so that the samples can be used to represent the original signal?

more samples: Time Quantization

less samples: Time Quantization

even less samples: Time Quantization

Time Quantization How often must a signal be sampled so that enough information about the original signal is available in the samples so that the samples can be used to represent the original signal?

Time Quantization V M t θt/(2π) How often must a signal be sampled so that enough information about the original signal is available in the samples so that the samples can be used to represent the original signal? f() t =V sin( ωt-θ) M If the sampling times are known, there are two unknowns in this equation, V M and θθ. θ So two samples during this period that provide two non-zero values of f(t) will provide sufficient information to completely recreate the signal f(t)!

End of Lecture 37