#### Abstract

This paper explores a variety of different CMOS varactor structures for RF and MMICs. A typical 0.18โm CMOS foundry process was used as the study platform. The varactors' capacitance-voltage characteristics and cutoff frequencies have been examined up to 55โGHz. The primary aim of this work is to design varactors that can improve nonlinear-transmission-line (NLTL) pulse-compression circuits. The results should also be valuable for other applications up to millimeter wavelengths.

#### 1. Introduction

Fast-developing CMOS technologies, with cutoff frequencies over 200โGHz [1], have made millimeter-wave silicon RF and MMICs a reality [2, 3]. These devices help fill the demand for low-cost, low-power, and compact wireless communication products. CMOS varactors, as key components in many RFICs, have received much attention [2โ5].

In [6] we discussed six different CMOS varactor structures. They were divided into two groups: one group with monotonic, the other with nonmonotonic . Two of the structures were manufactured in a 0.18- CMOS foundry technology and were tested up to 26โGHz. The capacitance-voltage characteristics and cutoff frequencies of all six structures were investigated and compared for pulse-compression applications. We developed a strategy to generate CMOS varactors with nonlinear capacitances that are suitable for either single-edge or double-edge pulse compression.

Very few publications have discussed the behavior of CMOS varactors above 50โGHz [2, 3]. Paper [4] gives a very good overview of CMOS varactor structures but covers only up to 5โGHz. Paper [5] has a good discussion of CMOS varactors, but the analysis is based on standard foundry-supplied models, which do not normally extend above 20โGHz range. Here we extend our varactor study to 55โGHz, and we focus on four of the six varactor structures. Figure 1(a) shows an AMOS (accumulation-mode MOS) varactor, and Figure 1(b) an IMOS (inversion-mode MOS) varactor. Both have monotonic characteristics. Figure 1(c) depicts a standard NMOS varactor in which the source-drain is connecting to the bulk and producing a nonmonotonic . The structure in Figure 1(d) has differently doped source and drain; we call this device an SnDp (*N*-type source, *P*-type drain). Its is also nonmonotonic. As pointed out in [6], a monotonic is beneficial for single-edge pulse compression while a nonmonotonic is more suited for double-edge pulse compression.

**(a)**

**(b)**

**(c)**

**(d)**

We present the and cutoff frequency curves of the four kinds of fabricated CMOS varactors at 1โMHz, 5โGHz, 20โGHz, and 55โGHz. Simulations and testing results are compared. The results should be most useful for NLTL pulse-compression applications where high harmonic generation is critical, but also of general value in the development of CMOS MMIC technology.

#### 2. Varactor Fabrication and Measurement

The four varactor structures were fabricated in a commercial 0.18- CMOS process. The IMOS and NMOS varactors (structures 2 and 3) were standard components in the process. The AMOS varactor (structure 1) was not supported by this process. The SnDp varactor (structure 4) could only be realized with the standard CMOS process by violating the design rules [7]. Both structures required extra layout work.

The fabricated structures were tested using an HP 4280A 1โMHz capacitance meter for low-frequency behavior. For GHz-range measurements, we used an Agilent N5250A Performance Network Analyzer (PNA) with built-in bias tees, a Karl Suss PA 200 probe station, and programmable heads with Picoprobe GSG-67A-100 probes. On-wafer measurements were extracted up to 67โGHz but for accuracy, postmeasurement calculations were carried only to 55โGHz. A CS-5 calibration kit was used to set the measurement reference plane to the tip of the probes. Koolen's โOpenโโ and โShortโโ technique [8] was used to deembed the extrinsic parameters due to use of pads, interconnects. A simplified model of the extracted varactor is shown in Figure 2. The parasitic *L*โs and *R*โs are deembedded from all three terminals: DS (drain and source), G (gate), and B (bulk). This yields the intrinsic model shown in the box (Figure 2). The input admittance looking into terminal in Figure 3 can be extracted as

**(a)**

**(b)**

**(c)**

**(d)**

#### 3. CMOS Varactor Behavior

We simulated the four CMOS varactor types up to 55โGHz, using the Medici process-oriented device simulator [9].

Figure 3 shows the results for the AMOS varactor. The left column contains the simulated data, the right column the measured data. The top row shows the curves, the bottom row the cutoff frequencies. Similarly, Figure 4 shows the results for the IMOS varactor, Figure 5 for the NMOS varactor, and Figure 6 for the SnDp varactor. In order to evaluate the loss and values, Figure 7 shows the series resistances for AMOS, SDF, and SDB varactors at 5โGHz.

**(a)**

**(b)**

**(c)**

**(d)**

**(a)**

**(b)**

**(c)**

**(d)**

**(a)**

**(b)**

**(c)**

**(d)**

On the chip, the gate of each varactor has a length of 0.5โ, a width of 5.0โ, and a total of 12 fingers. In the simulation setup, the gate length was 0.5โ, the width 1.0โ (Mediciโs default value), the thickness of the gate oxide 2.5โnm, the two-step uniform well dopings and respectively [10]. Therefore, the simulated capacitance was multiplied by 60 to match the measured data.

#### 4. Discussion

The AMOS and IMOS varactors have monotonic characteristics. The AMOS varactor data of Figure 3 show that on the average, the simulated ratios are 3.8 while measured values are 3.4. The simulated cutoff frequencies are 135โGHz while measured values are 130โGHz. The IMOS varactor data of Figure 5 show that on the average both the simulated and measured ratios are 3. The cutoff frequencies are both 100โGHz.

Of particular interest is the frequency-dependence of the curves. For the AMOS varactor, see Figure 3, the simulated vary little from 1 MHz to 55โGHz. For the IMOS data of Figure 4, the simulated and measured curves both show decreased nonlinearity as the frequency increases. The reason for this degeneration is that the IMOS varactor has a larger channel resistance than AMOS varactor (shown in Figure 7), since in the IMOS structure the well makes no contribution to the channel conductivity.

The NMOS and SnDp varactors have nonmonotonic characteristics. Figure 5 shows that on the average, the NMOS varactor simulations predict ratios of 3.6 compared with measured ratios 3.4. However both simulated and measured curves degenerate toward monotonicity as frequency increases. The simulated average cutoff frequencies are 100โGHz while the measured values are 95โGHz. Figure 6, for the SnDp varactor, shows that at lower frequencies, the average simulated ratios are 3.0 and the measured ratios 2.7. Both simulated and measured SnDp curves are flattened in the 20-to-55โGHz range, with ratios dropping dramatically. In Figure 6, the average cutoff frequencies are all 100โGHz.

The relatively poor high-frequency response of the SnDp structure is due to the need for carriers to travel the full length of the channel from the S or D region. In the other structures, carriers need only to travel half the length of the channel. To test this contention, we also simulated NMOS and SnDp varactor structures at 55โGHz with gate lengths shortened to 0.2โ. Figure 8 compares the results with those obtained for the same devices with 0.5โ gates. All capacitances are normalized to the same gate area. Figure 8 shows that with a short-gate length, the SnDp varactor has reduced degeneration and a much higher cutoff frequency than the NMOS varactor.

**(a)**

**(b)**

**(c)**

**(d)**

#### 5. Conclusion

Both AMOS and IMOS varactors are good for single-edge pulse compression due to their higher ratios and cutoff frequencies. However, the AMOS varactor has an advantage over the IMOS varactor because its curve does not degenerate at higher GHz frequencies, as shown in Figure 3, and it has lower series resistance; see Figure 7. Both NMOS and SnDp varactors are good for double-edge pulse compression. However, the high-frequency degeneration restricts their use to a much lower GHz range. Using a short-gate SnDp varactor can reduce its high-frequency degeneration and improve its performance, as indicated in Figure 8. Our research also shows that because of the lack of degeneration of its characteristic at high frequencies and no resistance peak near the depletion region, the AMOS varactor should be a good candidate for high-GHz-range applications.

#### Acknowledgment

The authors thank the wireless group of the Communications Research Centre (Canada), led by Dr. Valek Szwarc, for providing us with very useful testing equipment.