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# Impedance Transformation - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Impedance Transformation' - dai-townsend

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### Impedance Transformation

• 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

Q=2.427/(3.076-1.888)=2.04

Inclusion of parasitic resistance

reduces the circuit Q from 10.

• The gain drops significantly when the resistive loss in the inductor is accounted for.

• 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 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

• Determine the Qind that achieves the Av.

• Submit the circuit schematic

• Submit AV as a function of frequncy from 1M to 10 GHz.