Layout-based Modeling Methodology for Millimeter-Wave MOSFETs

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Layout-based Modeling Methodology for Millimeter-Wave MOSFETs Yan Wang Institute of Microelectronics, Tsinghua University, Beijing, P. R. China, 184 wangy46@tsinghua.edu.cn

Outline of Presentation Motivation Proposed Methodology Results and Discussions Summary 2

Outline of Presentation Motivation Proposed Methodology Results and Discussions Summary 3

Motivation High performance CMOS millimeterwave applications are emerging in endless stream 5G mobile Communication full-hd video streaming, and high speed wireless links at 6GHz 77-GHz Radar for automatic cruising Millimeter-wave imaging system for fine resolution using 94-GHz 4 band

5G mobile Communication Radar for automatic cruising THz imaging system Sync & Go 5

Motivation A versatile model for mm-wave device is still not available in many situations, so accurate device models for efficient CAD simulation is needed. The RF model provided by PDK usually targets at low gigahertz applications and does not account for the complex high frequency effects and parasitic effects. CMOS circuits are fabricated on a resistive lossy substrate, and parameters associated with substrate parasitics must be added to 6 conventional models.

Motivation mm-wave transistors usually adopt a complex multi-finger layout. The challenge for modeling of mm-wave FETs mainly arises from that the model is limited to interpolated geometry range set by the largest and smallest measured devices due to unpredicted accuracy of extrapolation. It's extremely difficult to build a set of equations precisely covering all the parasitic capacitance, resistance of local metal wires, vias and contacts which connect a row of gate fingers, as well as from substrate loss over wide geometry range. 7

Motivation We made the assessment of NMOS multifinger transistors by TSMC 65nm, the mean-square error of Y-parameters between simulation and measurement results are shown. The error is a little bit striking. TSMC65nm RF NMOS.1~3.1GHz, the mean-square error of Y-parameters between simulation results and measurement. 8

Motivation Most of previous models focused on a fixed model, which is usually based on the BSIM enhanced by parasitic sub-circuit. Designers in many situations have to build a model of their own before diving into the design of integrated mm-wave circuit. Only those who specialize in modeling or who have very deep insight in device physics can handle such things Emami S., et al. Large-signal millimeter-wave CMOS modeling with BSIM3. RFIC-Symposium, 24:163-166. 9

Motivation In this work, a novel modeling methodology for millimeter-wave MOSFETs based on standard digital core model is proposed and investigated. This modeling methodology takes into account the layout effect and NQS effect. The proposed modeling methodology is compared with the measured data and good accuracy is achieved for a standard 9nm and 65nm CMOS technology. This proposed model has been successfully applied in 6GHz LNA design. 1

Outline of Presentation Motivation Proposed Methodology Results and Discussions Summary 11

Proposed Modeling Methodology Passive Device Thick Metal Layer NQS Effect 3D EM Simulation Digital Core Model Circuit Simulation Active Device Layout Parasitic Extraction Flow chart of the proposed modeling methodology 12

Proposed Modeling Methodology The standard core model aiming for digital circuit analysis is adopted directly. The core nonlinear elements such as gate drain capacitance, gatesource capacitance, output conductance, output transconductance, etc. can be described by BSIM. Extrinsic parasitic linear components introduced by device interconnections and related vias can be extracted by using Calibre xrc. NQS effect related nonlinear MOSFET characteristics are far more difficult to be determined for mm-wave multi-finger MOSFETs. 13

Proposed Modeling Methodology Gate Gate Source Drain Source Drain Gate Gate Gate Source Drain Source Drain Source Drain QS Approximate NQS It is first necessary to take into account the distributed nature of the device 14 structure along both its channel length and channel width.

Proposed Modeling Methodology For a one-fingered device, the intrinsic gate resistance Rg,i is given by Rg, sq W Rgi, = 3 L Where Rg,sq is the DC sheet resistance of the gate material, W is the width of the device, and L is the length of the channel region[1]. The factor 3 accounts for the distributed nature of the intrinsic gate region[2]. Rg,i increases in HF regime, in this work, it can be determined by Calibre extraction for simpliness. [1] Andrey V. Grebennikov, and Fujiang Lin, An efficient CAD-oriented large-signal MOSFET model, VOL. 48, NO. 1, P1732(2) [2] E. Abou-Allam and T. Manku, A small signal MOSFET model for radio frequency 15IC applications, IEEE Trans. Computer-Aided Design, pp. 437 447, May 1997

Proposed Modeling Methodology Rgs accounts for the fact that channel charge cannot instantaneously respond to changes in the gate-source voltage. The signal applied to the gate suffers an additional equivalent gate resistance from the distributed channel resistance. Since the channel conductance seen by the source is related to g m, we would expect that the channel resistance (Rgs) is proportional to 1/g m. R gs 1 g m Rg consists of two parts: the Rg,i, contributed by the gate resistance and the Rg,nqs due 16 to channel charging resistance.

Proposed Modeling Methodology The transconductance delay τ is modeled by two ways: included by multiplying g m by exp(jωτ). The transconductance delay can also be represented by the transcapacitance C m. It has been known that BSIM model includes an NQS option and has been verified with measurements for devices. The NQS effect will equivalently introduce a transcapacitance between the drain and gate as the displacement current from Cgd can cancel partially the output current, which is equivalent to an 17 increased delay to the signal.

Proposed Modeling Methodology Gate R nqs Parasitic network between gate and source Core Model C nqs Parasitic network between gate and drain Source Parasitic network between drain and source Drain typical equivalent circuit model for mm-wave transistor proposed in this work, after the extraction, we achieve: 18 the Rnqs=1/5gm, Cnqs=1/1Cgg.

Outline of Presentation Motivation Proposed Methodology Results and Discussions Summary 19

Results and Discussion Y11 Y21.3.2.1 L=15nm W f =1u N f =32 -.1 2 4 6.4.2 -.2 Real, Measurement Imag, Measurement Real, Model Imag, Model Y12 Y22 x 1-3 5-5 -1 2 4 6 x 1-3 15 1 5 -.4 2 4 6-5 2 4 6 Measured and modeled Y-parameters for MOSFETs 2 with L=15nm, Wf=1u and Nf=32 (TSMC 9nm).

Results and Discussion Y11 2 1 x 1-3 2 4 6.4 Real, Measurement Imag, Measurement Real, Model Imag, Model L=1nm W f =1u N f =32 Y12-5 x 1-3 -1 2 4 6 x 1-3 Y21.2 -.2 Y22 15 1 5 -.4 2 4 6-5 2 4 6 Measured and modeled Y-parameters for MOSFETs with L=1nm, Wf=1u and Nf=32 (TSMC 9nm) 21

Results and Discussion Y11 15 x 1-3 1 5 Real, Measurement Imag, Measurement Real, Model Imag, Model Y12 x 1-3 2-2 -5 L=6nm W f =1u N f =32-4 Y21 1 2 3 4.6.4.2 -.2 Y22 1 2 3 4 15 x 1-3 1 5 1 2 3 4 1 2 3 4 Measured and modeled Y-parameters for MOSFETs with L=6nm, Wf=1u and Nf=32 (SMIC 65nm). 22

Results and Discussion Y11 Y21.3.2.1 L=6nm W f =1u N f =64 -.1 1 2 3 4.1.5 Real, Measurement Imag, Measurement Real, Model Imag, Model -.5 1 2 3 4 Y12 Y22 4 x 1-3 2-2 -4-6 -8 1 2 3 4 x 1-3 2 15 1 5-5 1 2 3 4 Measured and modeled Y-parameters for MOSFETs with L=6nm, Wf=1u and Nf=64 (SMIC 65nm). 23

Results and Discussion The proposed modeling methodology is also used to design a 6GHz low noise amplifier (LNA). VIN Vout stage1 Inp Inn Outp outn NVDD Inp stage2 Outp Inp Inn outn NVDD stage3 Inn Outp outn Inp VB Outn Neu_cap Outp VB Inn No balun here when used in the receiver three stage differential structure, transformer are used 24

Results and Discussion Spar/NF, [db] Spar/NF, [db] 2 1-1 -2-3 2 1-1 -2-3 Blue: S21 Measurement PDK Model Proposed Model Green: NF Red: S22 Black: S11 5 55 6 65 Frequency, f [GHz] Blue: S21 PDK Model Proposed Model Green: NF Black: S11 Red: S22 The measurements is in a good agreement with the modeled results with a.5 GHz of frequency mismatch. The noise figure (NF) is also wellpredicted by the model. 5 55 6 65 Frequency, f [GHz] 25 Measured and modeled S-parameters and NF for LNA.

Results and Discussion Two-tone intermodulation distortion for LNA. Output tone power (db) 2-2 Main tone IM3 tone -4 Extend for IIP3 Line: Model -6-3 -25-2 -15-1 -5 input power (dbm) The measured and modeled IIP3 is -7dBm and -8dBm respectively. The input and output power is shown and the measured 1-dB compression point is -16dBm which matches the predicted value based on the proposed modeling 26 methodology. Again we got the satisfied results.

Outline of Presentation Motivation Proposed Methodology Results and Discussions Summary 27

Summary A novel modeling methodology for millimeter-wave MOSFETs based on standard digital core model is proposed and investigated. This methods takes into account the layout effect and NQS effect, which play a significant role in the millimeter-wave scope. The proposed method is compared with the measured data and good accuracy is achieved for a standard 9nm and 65nm CMOS technology. This proposed model has been successfully applied in 6G LNA design. When you have trouble in choosing HF transistor 28 model, you can try this method.

Thanks for attention! 29