Lecture 6: Electronics Beyond the Logic Switches Xufeng Kou School of Information Science and Technology ShanghaiTech University

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1 Lecture 6: Electronics Beyond the Logic Switches Xufeng Kou School of Information Science and Technology ShanghaiTech University EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 1

2 Outline Analog electronics MOSFET Operational Amplifier A/D and D/A conversion Power Electronics Memories EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 2

3 Logic Switch - MOSFET Metal-oxide-semiconductor field-effect transistor With the increase of V gs On/Off On-state: carrier channel formed, where the current can flow Off-state: carrier channel does not exist, no path for current to pass Control Actively controlled by electrical field Most importantly, MOSFET can be scaled down! EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

4 MOSFET Beyond the ON/OFF States For digital electronics For analog electronics Cut off R 1 Conducting R 2 R 3 EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

5 MOSFET I-V Characteristics I DS Linear region: I DS nc 2 ox W L [2( V GS V ) V DS A voltage-controlled resistor th V 2 DS ] Saturation region: V DS I D ncox W ( sat) ( VGS Vth 2 L 2 ) A voltage controlled current source EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 5

6 Basic MOSFET Amplifier DC load line: slope = 1/R D R D Transconductance g C V V Voltage Gain A m V n v v 0 i ox W L g m GS R D EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 6 th

7 Amplifier An electronic device that increases the power of a signal Taking energy from a power supply controlling the output to match the input signal shape but with a larger amplitude The opposite of an attenuator An amplifier provides gain, an attenuator provides loss Power supply EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 7

8 Operational Amplifier An Operational Amplifier (Op-Amp) is an integrated circuit that uses external voltage to amplify the input through a very high gain. Huge variety of applications, low cost, and ease of mass production make them extremely popular EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 8

9 Operational Amplifier (Cont.) Output gain high A v ~= 10 6 Tiny difference in the input voltages result in a very large output voltage Output limited by supply voltages One Useful Application: Analog Comparator If V + >V -, V out = HVS If V + <V -, V out = LVS If V + =V -, V out = 0V EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 9

10 Ideal Op-Amp R in is infinite R out is zero Amplification (Gain) V out / V in = Unlimited bandwidth V out = 0 when Voltage inputs = 0 EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 10

11 Analog Comparator Uses: Low-voltage alarms,night light controller EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 11

12 Pulse Width Modulator Output changes when V in ~= V pot Potentiometer used to vary duty cycle Uses: Motor controllers EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 12

13 Non-Inverting Op-Amp V in V out V in (1 R R 2 1 ) Uses: Amplify straight up EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 13

14 virtual ground Inverting Op-Amp V out R R f in V in Uses: Amplify straight up EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 14

15 Analog Adder Add multiple sensors inputs until a threshold is reached. EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 15

16 Analog Substractor V out V R3 R 2 1 R4 V1R ( R R ) R R If all resistors are equal: V out V 2 V 1 EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 16

17 Integrating Op-Amp Uses: PID Controller EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 17

18 Differentiating Op-Amp Uses: PID Controller EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 18

19 Ideal Op-Amp vs Real Op-Amp Ideal Op-Amp Typical Op-Amp Input Resistance infinity 10 6 (bipolar) (FET) Input Current A Output Resistance Operational Gain infinity Common Mode Gain Bandwidth infinity Attenuates and phases at high frequencies (depends on slew rate) Temperature independent Bandwidth and gain EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 19

20 A Real Op-Amp Circuit EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 20

21 Op-Amp Applications Audio system Bio-electric signal EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 21

22 Conversion between A/D Connecting the digital computers and physical world EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 22

23 A/D and D/A Conversions Symbols EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 23

24 Digital-to-Analog Converters Pulse-width modulation The R-2R ladder DAC V out = a n a n a 2 2 n 2 + a 1 2 n 1 + a 0 2 n EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 24

25 Analog-to-Digital Converters Flash ADC (also known as a Direct conversion ADC) Successive approximation ADC EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 25

26 Application: Digital Audio System EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 26

27 Signal and Power Signal a function that conveys information about the behavior or attributes of some phenomenon Power is a necessity for the acquisition, conditioning, transmission, storage, and visualization of signals (data) EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 27

28 Different Forms of Power Direct current (DC) power Alternating current (AC) power EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 28

29 Power Electronics The application of solid-state electronics to the control and conversion of electric power Conversions among different forms AC to DC (rectifier) DC to AC (inverter) DC to DC (DC-to-DC converter) AC to AC (AC-to-AC converter) EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 29

30 Half-Wave Rectifier Without filter capacitor With filter capacitor EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 30

31 Full-Wave Rectifier EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 31

32 DC-to-AC Inverter EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 32

33 Computer System Processor Reg Cache Memory-I/O bus Memory I/O controller I/O controller I/O controller Disk Disk Display Network EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 33

34 Levels in Memory Hierarchy cache virtual memory CPU regs C 8 B a 32 B Memory 8 KB c h e disk size: speed: $/Mbyte: block size: Register Cache Memory Disk Memory 200 B 2 ns 8 B 3MB~8MB 4 ns $100/MB 32 B 8 GB 60 ns $1.50/MB 8 KB 1000 GB 8 ms $0.05/MB slower, cheaper EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 34

35 Conceptual: linear array Random Access Chip Architecture Each box holds some data But this does not lead to a nice layout shape Too long and skinny Create a 2-D array! Decode Row and Column addresses EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 35

36 Memory Architecture: Decoders Using MUX Intuitive architecture for N M memory Too many select signals. Decoder reduces the number of select signals -> K = log 2 N EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 36

37 Memory Architecture CORE: -Keep square within a 2:1 ratio -Rows are word lines -Columns are bit lines -Data in and out on columns DECODERS: -Needed to reduce total number of pins -N+M address lines for 2 (N+M) bits of storage MULTIPLEXING: -Used to select one or more columns for input or output of data EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 37

38 Storage Mechanism Static Dynamic State Node (S) State Node (S) EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 38

39 Random Access Memories (RAM) STATIC Random Access Memories (SRAM) Data stored as long as supply is applied Larger (6 transistors/cell) Fast Differential (usually) DYNAMIC Random Access Memories (DRAM) Periodic refresh required Smaller (1~3 transistors/cell) Slower Single ended EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 39

40 Cache - Static RAM (SRAM) Fast ~4 ns access time Persistent as long as power is supplied no refresh required Expensive ~$100/MByte 6 transistors/bit Stable High immunity to noise and environmental disturbances Technology for caches EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 40

41 6-Transistor CMOS SRAM Cell EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 41

42 Anatomy of an SRAM Cell bit line bit line b b word line Stable Configurations (6 transistors) Terminology: bit line: carries data word line: used for addressing Write: 1. set bit lines to new data value b is set to the opposite of b 2. raise word line to high sets cell to new state (may involve flipping relative to old state) Read: 1. set bit lines high 2. set word line high 3. see which bit line goes low EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 42

43 CMOS SRAM Analysis - Write k k n p C n C p ox ox W L W L 2 2 VQ VDSATp kn, M 6[( VDD VTn) VQ ] k p, M 4[( VDD VTp ) VDSATp ] 2 2 EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 43

44 CMOS SRAM Analysis - Write W PR W 4 6 / / L L 4 6 EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 44

45 CMOS SRAM Analysis - Read V DD V DD k n, M 5 [( V DD V V EE 224 Solid State Electronics II Tn 2 VDSATn ) VDSATn ] kn, M1[( VDD VTn) V Lecture 23: Lattice and symmetry V 2 2 ] 45

46 CMOS SRAM Analysis - Read EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 46

47 Memory - Dynamic RAM (DRAM) Slower than SRAM access time ~60 nsec Nonpersistant every row must be accessed every ~1 ms (refreshed) Cheaper than SRAM ~$1.50 / MByte 1 transistor/bit Fragile electrical noise, light, radiation Workhorse memory technology EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 47

48 Anatomy of a DRAM Cell Bit Line Access Transistor Word Line Storage Node C node C BL Writing Word Line Bit Line V Reading Word Line Bit Line Storage Node V ~ C node / C BL EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 48

49 3-Transistor DRAM Cell No constraints on device ratios Reads are non-destructive EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry 49

50 Floating Gate MOSFET = Flash Assume: V DS =V D - V S =+12V What happens if?: V GS =V G V S= +12 V Then what happens?: to jailed electrons if V GS is set to 0V? EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

51 Reading Memory State drain lines Control gate lines Change in Threshold Voltage due to Screening Effect of Floating Gate Read mode: Apply intermediate voltage, check whether current is flowing or not EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

52 Writing Memory State Control gate voltage determines whether electrons are injected to, or push/pulled out of floating gate. EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

53 NOR vs NAND Addressing Word = control gate; bit = drain NOR NAND 10x better endurance Fast read (~100 ns) Slow write (~10 μs) Used for Code EE 224 Solid State Electronics II Smaller cell size Slow read (~1 μs) Faster write (~1 μs) Used for Data Lecture 3: Lattice and symmetry

54 Solid-State Drive EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

55 Solid-State Drive: Architecture EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

56 Solid-State Drive: Architecture EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

57 Solid-State Drive: Architecture EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

58 Solid-State Drive: Advantages EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

59 Solid-State Drive: Disadvantages EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

60 Summary of Conventional Memories EE 224 Solid State Electronics II Lecture 3: Lattice and symmetry

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