European Journal of Scientific Research - EuroJournals
European Journal of Scientific Research - EuroJournals
European Journal of Scientific Research - EuroJournals
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Effect <strong>of</strong> Scaling on the Performance <strong>of</strong> the 4-Bit CPL Subtractor Circuit 240<br />
MOSFET are scaled down, both the voltage level and the gate-oxide thickness must also be reduced.<br />
Since the electron thermal voltage, (kT/q) is a constant at room temperature, the ratio between the<br />
operating voltage and the thermal voltage inevitably shrinks. This leads to higher source to-drain<br />
leakage currents stemming from the thermal diffusion <strong>of</strong> electrons. At the same time, the gate oxide<br />
has been scaled to a thickness <strong>of</strong> only a few atomic layers, where quantum-mechanical tunneling gives<br />
rise to a sharp increase in gate leakage currents. The effects <strong>of</strong> these fundamental factors on CMOS<br />
scaling are quantified [3].<br />
According to Mead and Conway [4], any dimension in the layout design can be expressed in<br />
terms <strong>of</strong> λ, called λ-design rule. According to the capability <strong>of</strong> silicon industry or to meet the<br />
specification <strong>of</strong> the circuit being designed, a value may be allocated to λ, prior to manufacture. If the<br />
CMOS scaling is given continuously it will yield miniaturization <strong>of</strong> the transistor. Smaller the<br />
transistors, faster in action, consumes less power, lower cost and more transistors can be packed on a<br />
chip and cost effective. Aggressive scaling <strong>of</strong> CPL devices in each technology generation has resulted<br />
in higher integration density and performance [2, 7]. The 4 bit subtractor circuit is analyses using<br />
device scaling technology. The scaling down <strong>of</strong> feature size generally leads to improved performance<br />
and it is, therefore important to understand the effect <strong>of</strong> scaling. The parameter is scaled for the VLSI<br />
fabrication technology is still in the process <strong>of</strong> evolution that is leading to smaller line widths, smaller<br />
feature size and higher package density on a chip. Generally, subtractor circuit used as signal<br />
propagation in the ALU which is transferring the signal without losses and only some researchers [5, 6]<br />
has given their attention on the subtractor circuit. In this paper, we have designed a 4 bit CPL<br />
subtractor with the help <strong>of</strong> multiplexing control input technique and studied the effect <strong>of</strong> constant field<br />
scaling on the overall circuit performance. We have first chosen the feature size and then decided the<br />
scaling whereas others have chosen the reverse manner. The 4 bit subtractor circuit layout is generated<br />
with the help <strong>of</strong> Microwind 3 VLSI CAD tools and device parameters are analyzed using BSIM model.<br />
II. Cmos Scaling Theory<br />
Advances in silicon ULSI technology has been historically made by scaling <strong>of</strong> the device dimensions.<br />
According to scaling theory, both lateral dimensions (i.e., lithographic feature sizes) and vertical<br />
dimensions (e.g., junction depths) should be reduced to increase the package density <strong>of</strong> devices while<br />
avoiding deleterious short-channel effects. The International Technology Roadmap for Semiconductors<br />
(ITRS) [6] provides a consensus scenario <strong>of</strong> how device parameters will scale for technology<br />
generation ranging from today’s 130-nm technology to devices as small as 22 nm in the year 2016. The<br />
technology node parameter also called the technology generation represented the minimum<br />
lithographic image size in earlier generations <strong>of</strong> the Roadmap, now it refers to the DRAM half-pitch.<br />
This projected progress is even more remarkable when one notes that, for leading-edge microprocessor<br />
chips, the physical gate length is only 60% <strong>of</strong> the node parameter, and the effective channel length<br />
could be as little as half <strong>of</strong> the physical gate length. Thus, the Roadmap envisions devices having<br />
effective channel lengths well under 10 nm within the next 15 years. Furthermore, the recent historical<br />
rate <strong>of</strong> progress has been even faster than that predicted by the roadmaps or Moore’s Law [7]. Each<br />
successive version <strong>of</strong> the ITRS Roadmap from 1994 to 2001 has been more aggressive than the<br />
previous one: New technologies nodes have been introduced more rapidly than expected.<br />
The overall 4 bit subtractor circuit is analyzed in terms <strong>of</strong> total power dissipation, Delay and<br />
area by using simulation technique and scaled analysis (after scaled down) by using constant field<br />
model. The scaled down layout is simulated by Microwind 3 and analyzed using BSIM. Scaling<br />
depends on application, since different applications can tolerate different amounts <strong>of</strong> static leakage<br />
power. So that, there is no single end to scaling, but rather there are different optimum ends to scaling<br />
for different applications [7]. High power and high-performance circuits can accept much higher static<br />
leakage dissipation than portable battery-powered devices. The smaller chip also gives smaller die size<br />
increased yield and increased performance. The process <strong>of</strong> shrinking all geometrical dimensions and