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U. Glaeser

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FIGURE 21.26 Energy per cycle vs. frequency simulation results for all three processors (data combined from [28]<br />

© 1997 IEEE and [29] © 2000 IEEE).<br />

clock phases. For MD1, conventional buffers were used to drive the two clock phases. These buffers were<br />

powered from a separate dc supply, so that clock power was recorded separately than the core power.<br />

For both AC-1 and MD1, the operating power under resonant mode was projected by dividing the clock<br />

power under conventional mode by 6.5. This factor indicates the efficiency of the all-resonant clock driver<br />

and was derived from laboratory measurements.<br />

The simulation results are shown in Fig. 21.26. For DC1, the operating frequency ranged from 20 MHz<br />

at 1.5 V to 143 MHz at 3.3 V. Power dissipation ranged from 2.7 mW (at 20 MHz) to 100 mW (at<br />

143 MHz). For AC-1, the top operating frequency was 74 MHz. For increasing frequency, clock voltage<br />

ranged from 2.4 to 3.3 V and core voltage ranged from 1.8 to 2.6 V. As discussed earlier, the AC-1 logic<br />

style requires that the clock voltage swing be a threshold voltage higher than the core voltage. Power<br />

dissipation under conventional mode was 22.3 mW at 33.3 MHz and 95.1 mW at 74 MHz. The projected<br />

power dissipation under resonant mode is 4.7 and 21.5 mW, respectively. For MD1, the top frequency<br />

was 110 MHz. For all operating points, clock and core voltages were maintained at the same level ranging<br />

from 1.4 V at 10 MHz to 2.7 V at 110 MHz. Power dissipation was 2.1 mW at 10 MHz and 108 mW at<br />

110 MHz. The power dissipation in resonant mode would be 850 µW and 34 mW, respectively.<br />

Simulation results show that MD1 is a more efficient design than AC-1 in terms of power dissipation<br />

and operating frequency especially under conventional mode. The significantly higher power dissipation<br />

of AC-1 under conventional mode is attributed to the higher clock voltage swing. Therefore, applying<br />

energy recovery has a greater effect on AC-1 than on MD1 since clock power is a larger portion of the<br />

total power for AC-1 when both processors operate in conventional mode. For MD1 under conventional<br />

mode, the clock-powered nodes (including the two clock phases) account for 80% of the total power<br />

dissipation. Clock-powered nodes are about 5% of the total nodes. Both AC-1 and MD1 would dissipate<br />

less power than DC1 when they operate under resonant mode. Specifically, the projected MD1 dissipation<br />

under resonant mode would be about 40% less than the dissipation of DC1.<br />

21.8 Conclusions<br />

In this chapter, clock-powered logic was discussed as a low-overhead, node-selective adiabatic style for<br />

low-power CMOS computing. The merit of clock-powered logic is that it combines the low-overhead<br />

of standard CMOS for driving low-capacitance nodes and the superior energy versus delay scalability<br />

of adiabatic charging for high-capacitance nodes. All the components of a clock-powered microsystem<br />

were presented in detail. Clock-powered logic is more effective for applications in which a small<br />

percentage of nodes accounts for most of the dynamic power dissipation (e.g., processors, memory<br />

structures [32], etc.).<br />

© 2002 by CRC Press LLC<br />

mW / MHz<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0 50 100 150<br />

Frequency (MHz)<br />

AC 1 convent. dr.<br />

MD1 convent. dr.<br />

DC1<br />

AC 1 resonant dr.<br />

MD1 resonant dr.

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