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Impedance Transformation. Resistance of Inductor. R= R sh (L/W) R sh is the sheet resistance Rsh is 22 mOhms per square for W=6um. If the outer diameter is 135 um, the length is approximately 135um x4=540 um. R=22 mOhms x (540/6)=1.98 Ohms.

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Presentation Transcript
resistance of inductor
Resistance of Inductor
  • R=Rsh(L/W)
    • Rsh is the sheet resistance
    • Rsh is 22 mOhms per square for W=6um.
    • If the outer diameter is 135 um, the length is approximately 135um x4=540 um.
    • R=22 mOhms x (540/6)=1.98 Ohms

Q=(ωL)/R=(2π2.4G0.336 nH)/1.98 Ω=2.56

include resistor in the tank circuitry
Include Resistor In the Tank Circuitry

Q=2.427/(3.076-1.888)=2.04

Inclusion of parasitic resistance

reduces the circuit Q from 10.

problem
Problem
  • The gain drops significantly when the resistive loss in the inductor is accounted for.
assignment
Assignment
  • Redesign the circuit so that it meet the following specifications:
    • fo=2.4 GHz
    • Q(circuit quality factor)>7
    • Av=Vout/Vin=-6 dB
    • Rs=50 Ohms
design constraints
Design Constraints
  • Design constratins:
    • Av=Rp/(Rs+Rp)
    • Rp=Rind(1+Qind*Qind)
    • Qcirc=ωo(Rp*Rs/(Rp+Rs))C=ωoAvRsC
    • ωo=1/sqrt(LC)
    • Qind=ωoL/Rind
submission check list
Submission Check List
  • Determine the Qind that achieves the Av.
  • Submit the circuit schematic
  • Submit AV as a function of frequncy from 1M to 10 GHz.
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