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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 />

of the 90° bends adds unnecessary resistance to the structure, and as the structure<br />

is made circular, the performance will improve.<br />

Some guidelines for optimum layout will now be provided. These rules<br />

are based on considerations of the effect of geometry on the equivalent model<br />

shown in Figure 5.12.<br />

121<br />

1. Line spacing: At low frequencies (2 GHz or less), keep the line spacing<br />

as tight as possible. At higher frequencies, due to coupling between<br />

turns, larger spacing may be desirable.<br />

2. Line width: Increasing metal width will reduce the inductance (fewer<br />

turns in a given area as well as less inductance per unit length) and<br />

will decrease the series resistance of the lines at low frequencies. Large<br />

inductance area means bigger capacitance, which means lower selfresonance,<br />

and more coupling of current into the substrate. Therefore,<br />

as W goes up, inductance comes down and the frequency of Q peak gets<br />

lower (and vice versa). Line widths for typical 1- to 5-nH inductors<br />

in the 2- to 5-GHz range would be expected to be from 10 to 25 �m.<br />

3. Area: Bigger area means that more current is present in the substrate,<br />

so high-frequency losses tend to be increased. Bigger area (for the<br />

same line width) means longer spirals, which means more inductance.<br />

Therefore, as the area goes up, inductance goes up, and the frequency<br />

of Q peak gets lower (and vice versa).<br />

4. Number of turns: This is typically a third degree of freedom. It is usually<br />

best to pick fewer rather than more turns, provided that the inductor<br />

does not get to be huge. Huge is, of course, a relative term, and it is<br />

ultimately up to the designers to decide how much space they are<br />

willing to devote to the inductor layout. Inner turns add less to the<br />

inductance but more resistance, so it is best to keep the inductor hollow.<br />

By changing the area and line width, the peak frequency and inductance<br />

can be fine-tuned.<br />

5.18 Isolating the Inductor<br />

Inductors tend to be extremely large structures, and as such they tend to couple<br />

signals into the substrate; therefore, isolation must be provided. Typically, a<br />

ring of substrate contacts is added around each inductor. These substrate contacts<br />

are usually placed at a distance of about five line widths away from the inductor.<br />

The presence of a patterned (slotted) ground shield, discussed in the next section,<br />

may also help in isolating the inductor from the substrate.

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