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Lecture25-Timing Berkeley EE 141
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  • Title: Lecture25-Timing
  • Type: Notes
  • School: Berkeley
  • Course: EE 141
  • Term: Fall

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EE141- EE141 Spring 2004 Digital Integrated Circuits Lecture 25 Oscillators and Bi-stables Bi- 1 EE141 EE141-S04 Administrative Stuff Homework 8 posted Due on Fr Last software lab THIS week Project on web-site! No class on Th Make-up lecture probably next week Fr 2 EE141 EE141-S04 1 EE141 Class Material Today s lecture Oscillators and multivibrators Timing 3 EE141 EE141-S04 Other Sequential Circuits Schmitt Trigger Monostable Multivibrators Astable Multivibrators 4 EE141 EE141-S04 2 EE141 Schmitt Trigger Vou t In Out V OH VTC with hysteresis Restores signal slopes V OL VM EE141 EE141-S04 VM+ Vi n 5 Noise Suppression using Schmitt Trigger 6 EE141 EE141-S04 3 EE141 CMOS Schmitt Trigger VDD M2 Vin X M4 Vout M1 M3 Moves switching threshold of the first inverter 7 EE141 EE141-S04 Schmitt Trigger Simulated VTC 2.5 2.0 1.5 ) V ( X V 2.5 2.0 VM1 ) V ( x 1.5 V 1.0 0.5 0.0 0.0 VM2 1.0 0.5 0.0 0.0 k=1 k=3 k=2 k=4 0.5 1.0 1.5 Vin (V) 2.0 2.5 0.5 1.0 1.5 Vin (V) 2.0 2.5 Voltage-transfer characteristics with hysteresis. The effect of varying the ratio of the PMOS device M4. The width is k* 0.5m m. 8 EE141 EE141-S04 4 EE141 CMOS Schmitt Trigger (2) VDD M4 M6 M3 In M2 X M1 9 EE141 EE141-S04 Out M5 VDD Multivibrator Circuits R S Bistable Multivibrator flip-flop, Schmitt Trigger T Monostable Multivibrator one-shot Astable Multivibrator oscillator 10 EE141 EE141-S04 5 EE141 Transition-Triggered Monostable In DELAY td Out td 11 EE141 EE141-S04 Monostable Trigger (RC-based) VD D In R A C B Out (a) Trigger circuit. In B VM (b) Waveforms. Out t1 EE141 EE141-S04 t t2 12 6 EE141 Astable Multivibrators (Oscillators) 0 1 2 N-1 Ring Oscillator simulated response of 5-stage oscillator 13 EE141 EE141-S04 Relaxation Oscillator Out1 I1 I2 Out2 R Int C T = 2 (log3) RC 14 EE141 EE141-S04 7 EE141 Voltage Controller Oscillator (VCO) V DD M6 VDD M4 Schmitt Trigger restores signal slopes M2 In M1 Iref Vcontr M5 M3 Iref Current starved inverter 6 tpH L (nsec) 4 2 0.0 0.5 1.5 V co ntr (V) 2.5 propagation delay as a function of control voltage 15 EE141 EE141-S04 Timing Definitions 16 EE141 EE141-S04 8 EE141 Synchronous Timing CLK In R1 Cin Combinational Logic Cout R2 Out 17 EE141 EE141-S04 Latch Parameters D Q Clk T Clk D tc-q PWm thold td-q tsu Q Delays can be different for rising and falling data transitions 18 EE141 EE141-S04 9 EE141 Register Parameters D Q Clk T Clk D tsu Q tc-q Delays can be different for rising and falling data transitions 19 EE141 EE141-S04 thold Clock Uncertainties 4 Power Supply 3 Interconnect Devices 2 6 Capacitive Load 7 Coupling to Adjacent Lines 5 Temperature 1 Clock Generation Sources of clock uncertainty 20 EE141 EE141-S04 10 EE141 Clock Nonidealities Clock skew Spatial variation in temporally equivalent clock edges; deterministic + random, tSK Clock jitter Temporal variations in consecutive edges of the clock signal; modulation + random noise Cycle-to-cycle (short-term) tJS Long term tJL Variation of the pulse width Important for level sensitive clocking 21 EE141 EE141-S04 Clock Skew and Jitter Clk tSK Clk tJS Both skew and jitter affect the effective cycle time Only skew affects the race margin 22 EE141 EE141-S04 11 EE141 Clock Skew # of registers Earliest occurrence of Clk edge Nominal /2 Latest occurrence of Clk edge Nominal + /2 Insertion delay Max Clk skew Clk delay 23 EE141 EE141-S04 Positive and Negative Skew In CLK R1 D Q tCLK1 delay (a) Positive skew R1 D Q tCLK1 delay (b) Negative skew 24 EE141 EE141-S04 Combinational Logic R2 D Q tCLK2 Combinational Logic R3 D Q tCLK3 delay In Combinational Logic R2 D Q tCLK2 Combinational Logic R3 D Q tCLK3 delay CLK 12 EE141 Positive Skew TCLK + CLK1 1 TCLK 3 CLK2 2 + th 4 Launching edge arrives before the receiving edge 25 EE141 EE141-S04 Negative Skew TCLK + CLK1 1 TCLK 3 CLK2 2 4 Receiving edge arrives before the launching edge 26 EE141 EE141-S04 13 EE141 Timing Constraints In R1 D Q tCLK1 tc q tc q, cd tsu, thold tlogic tlogic, cd Combinational Logic R2 D Q tCLK2 CLK Minimum cycle time: T + = tc-q tlogic + + tsu Worst case is when receiving edge arrives early (negative ) 27 EE141 EE141-S04 Timing Constraints In R1 D Q tCLK1 tc q tc q, cd tsu, thold tlogic tlogic, cd Combinational Logic R2 D Q tCLK2 CLK Hold time constraint: t(c-q, cd) + t(logic, cd) > thold + Worst case is when receiving edge arrives late (positive ) Race between data and clock 28 EE141 EE141-S04 14 EE141 Impact of Jitter 2 CLK TC LK 4 5 t j itter -tji tte r 6 1 3 In REGS Combinational Logic t log ic t log ic, cd CLK tc-q , tc-q, ts u, thold tjitter cd 29 EE141 EE141-S04 Longest Logic Path in Edge-Triggered Systems TSU Clk TClk-Q TLM T TJI + Latest point of launching Earliest arrival of next cycle 30 EE141 EE141-S04 15 EE141 Clock Constraints in Edge-Triggered Systems If launching edge is late and receiving edge is early, the data will not be too late if: Tc-q + TLM + TSU < T TJI,1 TJI,2 - Minimum cycle time is determined by the maximum delays through the logic Tc-q + TLM + TSU + + 2 TJI < T Skew can be either positive or negative 31 EE141 EE141-S04 Shortest Path Earliest point of launching Clk TClk-Q TLm Clk TH Data must not arrive before this time Nominal clock edge 32 EE141 EE141-S04 16 EE141 Clock Constraints in Edge-Triggered Systems If launching edge is early and receiving edge is late: Tc-q + TLM TJI,1 < TH + TJI,2 + Minimum logic delay Tc-q + TLM < TH + 2TJI+ 33 EE141 EE141-S04 How to counter Clock Skew? Negative Skew REG REG REG In . REG log Out Positive Skew Clock Distribution Data and Clock Routing 34 EE141 EE141-S04 17 EE141 Clock Distribution H-tree CLK Clock is distributed in a tree-like fashion 35 EE141 EE141-S04 More realistic H-tree [Restle98] 36 EE141 EE141-S04 18 EE141 The Grid System GCLK Driver D iver r D rive r GCLK GCLK No rc-matching Large power Driver GCLK 37 EE141 EE141-S04 Example: DEC Alpha 21164 Clock Frequency: 300 MHz - 9.3 Million Transistors Total Clock Load: 3.75 nF Power in Clock Distribution network : 20 W (out of 50) Uses Two Level Clock Distribution: Single 6-stage driver at center of chip Secondary buffers drive left and right side clock grid in Metal3 and Metal4 Total driver size: 58 cm! 38 EE141 EE141-S04 19 EE141 21164 Clocking tcycle= 3.3ns trise = 0.35ns tskew = 150ps Clock waveform final drivers 2 phase single wire clock, distributed globally 2 distributed driver channels Reduced RC delay/skew Improved thermal distribution 3.75nF clock load 58 cm final driver width pre-driver Location of clock driver on die EE141 EE141-S04 Local inverters for latching Conditional clocks in caches to reduce power More complex race checking Device variation 39 Clock Drivers 40 EE141 EE141-S04 20 EE141 Clock Skew in Alpha Processor 41 EE141 EE141-S04 EV6 (Alpha 21264) Clocking 600 MHz 0.35 micron CMOS tcycle= 1.67ns trise = 0.35ns Global clock waveform tskew = 50ps 2 Phase, with multiple conditional buffered clocks 2.8 nF clock load 40 cm final driver width PLL Local clocks can be gated off to save power Reduced load/skew Reduced thermal issues Multiple clocks complicate race checking 42 EE141 EE141-S04 21 EE141 21264 Clocking 43 EE141 EE141-S04 EV6 Clock Results ps 5 10 15 20 25 30 35 40 45 50 GCLK Skew (at Vdd/2 Crossings) EE141 EE141-S04 ps 300 305 310 315 320 325 330 335 340 345 GCLK Rise Times (20% to 80% Extrapolated to 0% to 100%) 44 22 EE141 EV7 Clock Hierarchy Active Skew Management and Multiple Clock Domains NCLK (Mem Ctrl) + widely dispersed drivers DLL DLL + DLLs compensate static and lowfrequency variation + divides design and verification effort L2L_CLK (L2 Cache) DLL L2R_CLK (L2 Cache) PLL GCLK (CPU Core) - DLL design and verification is added work + tailored clocks 45 SYSCLK EE141 EE141-S04 Self-timed and Asynchronous Design Functions of clock in synchronous design 1) Acts as completion signal 2) Ensures the correct ordering of events Truly asynchronous design 1) Completion is ensured by careful timing analysis 2) Ordering of events is implicit in logic Self-timed design 1) Completion ensured by completion signal 2) Ordering imposed by handshaking protocol 46 EE141 EE141-S04 23

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