EE141-Fall 2010 Digital Integrated Circuits. Announcements. Synchronous Timing. Latch Parameters. Class Material. Homework #8 due next Tuesday

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1 EE-Fall 00 Digital tegrated Circuits Timing Lecture Timing Announcements Homework #8 due next Tuesday Synchronous Timing Project Phase plan due this Sat. Hanh-Phuc s extra office hours shifted next week Tues. -pm R R C in C out 5 5 Class Material Latch Parameters Last lecture Latches and flip-flops Today s lecture Timing Reading Chapter 7, 0 D PW m T tsetup t d-q Q Delays can be different for rising and falling data transitions 6 6

2 Register Parameters Clock Uncertainties T Power Supply terconnect Devices Variation 5 Temperature Clock Generation 6 Capacitive Load 7 Coupling to Adjacent Lines D Q t setup Delays can be different for rising and falling data transitions 7 7 Sources of clock uncertainty 0 0 Clock Skew and Jitter R t SK t t t JS t cclk-q q t cclk-q,min cd tt su, t setup, hold t logic logic t t logic, cd logic,min Both skew and jitter affect the effective cycle time Only skew affects the race margin (usually) Cycle time (max): T > + t logic + t setup Race margin (min): <,min + t logic,min 8 8 Clock Nonidealities Clock skew Spatial variation in temporally equivalent clock edges; deterministic + random, t SK Clock jitter Temporal variations in consecutive edges of the clock signal; modulation + random noise Cycle-to-cycle (short-term) t JS Long term t JL Variation of the pulse width Important for level sensitive clocking Clock Skew # of registers Earliest occurrence of edge Nominal / sertion Max skew Latest occurrence of edge Nominal + / 9 9

3 Positive and Negative Skew R R R t t t (a) Positive skew R t (b) Negative skew t R t t t c q t t c q, cd clk-q,min t su, t setup, t logic t t logic logic, t cd logic,min Minimum cycle time: T clk - = + t setup + t logic t Worst case is when receiving edge arrives early (positive ) 6 6 Positive Skew T + R + t h T Launching edge arrives before the receiving edge t c q,min c cd t su, t setup, t logic t logic t logic, t cd logic,min Hold time constraint: t (clk-q,min) + t (logic,min) > + Worst case is when receiving edge arrives late Race between data and clock t 7 7 Negative Skew Longest Path in Edge-Triggered Systems T - T t clk-q t logic t setup t JS + T Receiving edge arrives before the launching edge Latest point of launching Earliest arrival of next cycle

4 Clock Constraints in Edge-Triggered Systems Pipelining a a If launching edge is late and receiving edge is early, the data will not be too late if: log log + t logic + t setup < T t JS, t JS, - b b Minimum cycle time is determined by the maximum s through the logic Reference Pipelined + t logic + t setup + + t JS < T Skew can be either positive or negative 9 9 Shortest Path Latch-Based Clocking Earliest point of launching,min t logic,min F C C G C Nominal clock edge Data must not arrive before this time (Domino logic almost always uses latch-based clocking) Compute F compute G 0 0 Clock Constraints in Edge-Triggered Systems If launching edge is early and receiving edge is late:,min + t logic,min t JS, > + t JS, + Minimum logic,min + t logic,min > + t JS + (This assumes jitter at launching and receiving clocks are independent which usually is not true) Latch vs. Flip-flop a flip-flop based system: Data launches on one rising edge And must arrive before next rising edge If data arrives late, system fails If it arrives early, wasting time Flip-flops have hard edges a latch-based system: Data can pass through latch while it is transparent Long cycle of logic can borrow time into next cycle As long as each loop finished in one cycle

5 Time Borrowing Example 5 5 Latch vs. Flip-flop Summary Flip-flops generally easier to use Most digital ASICs designed with register-based timing But, latches (both pulsed and level-sensitive) allow more flexibility And hence can potentially achieve higher performance Latches can also be made more tolerant of clock un-certainty More in EE 6 6 Next Lecture Clock and power distribution 7 7

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