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Radio Frequency Integrated Circuit Design - Webs

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The Use and <strong>Design</strong> of Passive <strong>Circuit</strong> Elements in IC Technologies<br />

For 1-�m-thick aluminum, a typical value for maximum current would<br />

be 1 mA of dc current for every micrometer of metal width. Similarly, a<br />

2-�m-thick aluminum line would typically be able to carry 2 mA of dc current<br />

per micrometer of metal width. The ac current component of the current can<br />

be larger (a typical factor of 4 is often used). We note that other metals like<br />

copper and gold are somewhat lower in resistance than aluminum; however,<br />

due to better metal migration properties, they can handle more current than<br />

aluminum.<br />

Example 5.4 Calculating Maximum Line Current<br />

If a line carries no dc current, but has a peak ac current of 500 mA, a 1-�mthick<br />

metal line would need to be about 500 mA/4 mA/�m = 125 �m wide.<br />

However, if the dc current is 500 mA, and the peak ac current is also 500 mA<br />

(i.e., 500 ± 500 mA), then the 500-�m-wide line required to pass the dc current<br />

is no longer quite wide enough. To cope with the additional ac current, another<br />

125 �m is required for a total width of 625 �m.<br />

Current limitations have implications for inductors as well (these will be<br />

considered next). <strong>Integrated</strong> inductors are typically 10 or 20 �m wide and can<br />

therefore handle only 10 to 40 mA of dc current, and up to 160 mA of ac<br />

current. This obviously limits the ability to do on-chip tuning or matching for<br />

power amplifiers or other circuits with high bias current requirements.<br />

5.7 Poly Resistors and Diffusion Resistors<br />

Poly resistors are made out of conductive polycrystalline silicon that is directly<br />

on top of the silicon front end. Essentially, this layer acts like a resistive metal<br />

line. Typically, these layers have a resistivity in the 10 �/� range.<br />

Diffusion resistors are made by doping a layer of silicon to give it the<br />

desired resistivity, typically 1 k�/� or more, and can be made with either p<br />

doping or n doping as shown in Figure 5.5. If n doping is used, then the<br />

structure can be quite simple, because the edge of the doping region will form<br />

a pn junction with the substrate. Since this junction can never be forward<br />

biased, current will not flow into the substrate. If, however, p doping is used,<br />

then it must be placed in an n well to provide isolation from the substrate.<br />

5.8 Metal-Insulator-Metal Capacitors and Poly Capacitors<br />

We have already discussed that metal lines have parasitic capacitance associated<br />

with them. However, since it is generally desirable to make capacitance between<br />

metal layers as small as possible, they make poor deliberate capacitors. In order<br />

to improve this and conserve chip area, when capacitance between two metal<br />

103

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