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    Application of MEMS Tunable Capacitor for RF VCOs

    Soheil BigdeliDepartment of Electrical Engineering & Computer Science

    University of California, Berkeley

    Abstract

    In this work, a voltage controloscillator is used to characterize aMEMS tunable capacitor. The upper

    plate of the capacitor rises above thesurface of the substrate and as aresult, the gap between the two platesof the parallel-plate capacitor gets

    bigger or smaller. Therefore thecapacitance changes. A brief description of fabrication process for the variable capacitor is also

    presented. HSIPCE is used tomeasure Q, and the result shows thatthe capacitor presented in this paper is not suitable for VCO design.

    Introduction

    Variable RF capacitors are major control components of highfrequency receivers and transmitters.Also, variable capacitors are largelyused for designing voltage controloscillators, which themselves are

    main components of phase lock loops(PLLs). If the output frequency of anoscillator varies by a voltage, then thecircuit is called VCO [5]. Almostall VCOs use off-chip tank capacitances to control the frequency.The schematic of a tank capacitance

    is shown in figure 1. Having a tank capacitance means that some off-chipcircuitry is required. Therefore morefabrication is required and the overallcost of the design increases. Also,having off-chip circuitry adds to thecomplexity of the design and thereare reliability issues that need to beaddressed. In addition, many of thetodays passive RF components have

    big sizes [4]. Therefore a monolithicdesign for passive devices can help to

    Figure 1: Tank Capacitance

    reduce the negative effects mentionedabove.

    Theory and Design

    Capacitance can be varied by either changing the dielectric thickness or bychanging the overlapping area betweenthe two parallel plates. This is inaccordance with the equation (E1)assuming a constant dielectric.

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    C= A/t (E1)

    The design used in this work is basedon the Micro-Elevator for Self-Assembly (MESA) [4]. In thismethod, the dielectric (air for thisdesign) thickness is changed in order to make a variable capacitor. Threesurface micro-machined plates areconnected to each other using hingesas shown in figure 2 (the other twosides of the middle plate are alsoconnected to two plates for better support but they are not shown in

    figure 2 for simplicity). Twoelectrostatic actuators (comb-drives)are biased such a way that they movetowards each other with the samespeed. As a result, the top plate of the capacitor rises above the surface(max height is 250 m from surface)of the silicon and consequently thegap between the two plates widens.The bottom plate of the capacitor is

    stationary. The entire process isshown in figure 2.

    Figure 2 : The variable capacitance process

    Fabrication Process

    The standard MUMPS process will be used to fabricate the variablecapacitor. MUMPS is a three-layer

    polysilicon surface micro-machining process.

    Results and Conclusion

    The designed capacitor is used in thecircuit shown in figure 3. HSPICEsimulation shows that the Q value of 15 at 950MHZ is achieved. Theobtained for value of Q is very lowcompare to other designs [1], [7].

    Figure 3: Design of a VCO with currentmirrors

    Lateral actuation of the comb-drives,which is transferred to the upper

    plates vertical movement, causes theQ to drop. Also, contact resistance

    between the hinges reduces the Q [4].The main problem with this design isthe variation of the capacitance.Because the inverse relationship

    between the capacitance and thedielectric thickness, the capacitancevariation is huge (500fF-25fF) [4].Consequently the variablecapacitance is not suitable for fine-tuning. Fine-tuning is required for the voltage control oscillator.

    Some changes to the design willimprove the value of Q. For example, using thermal actuator instead of comb-drive theoreticallyimproves the Q. Since thermalactuator can be used to move theupper plate up without any lateral

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    movement, the hinges can beeliminated from the design. As aresult, the hinge resistance iseliminated from the design. Also, byusing a 2-D actuator, instead of changing the dielectric thickness, theoverlapping area between the two

    parallel plates can be changed.Referring to (E1), area is linearly

    proportional to the capacitance;therefore huge variation of capacitance can also be eliminated.Other designs have beendemonstrated for the variablecapacitor [1], [2], [3], [7].

    AcknowledgementThe author would like to thank Professor Roger T. Howe for hisencouragement and support.

    Reference

    1. A. Mohamed, H.Elsimary,M.Ismail, Design of MEMS

    Tunable Capacitor all MetalMicrostructure for RFWireless Application, AnalogVLSI Lab, Ohio StateUniversity

    2. K.F.Harsh, W.Zhang,V.M.Bright, Y.C.Lee, Flip-Chip Assembly for Si-BasedRF MEMS, Department of

    Mechanical Engineering,

    University of Colorado,Boulde.

    3. C.L.Goldsmith,A.Malczewski, Z.J.Yao,S.Chen, J.Ehmke, D.H.Hinzel,RF MEMS VariableCapacitor for Tunable Filters,Raytheon SystemsCorporation, Dallas, Texas

    4. L.Fan, R.T.Chen, A.Nespola,M.C.Wu, Universal MEMSPlatforms for Passive RFComponents: Suspended

    Inductor and VariableCapacitors, Department of Electrical Engineering,University of California, LosAngeles

    5. B.Razavi, RFMICROELECTRONICS,Prentice Hall CommunicationEngineering and Engineering

    Technologies Series, 1998

    6. D.J.Young, B.E.Boser, AMicromachined VariableCapacitor for Monolithic Low-

    Noise VCOs, Solid-StateSensor and Actuator Workshop, Hilton HeadIsland, SC, June 3-6, 1996