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Advanced RFIC Design ELEN 359A Lecture 2: Passive Circuits
Instructor: Dr. Allen A Sweet
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Passive Circuit Types
• Low Pass Filters (LPF)• High Pass Filters (HPF)• Band Pass Filters (BPF)• Differential Circuits• Phase Shifters• Splitters/Combiners• Couplers
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Single Section “T” LPF
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Basic Design Equations: Single Section “T” Low Pass Network
• Z0=SQR(L/C)• Fc=1/piZ0C• L=SQ(Z0)C• Time Delay=SQR(LC)• Phase Shift(in degrees)=360F(Time Delay)• Fh=50%Fc• Roll off is about 10 dB per octave per section• Phase shift is about 90 degrees at Fh per section
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Design Example of a Single Section LPF
• Assume Fh=3 GHz, then Fc=6 GHz• Assume Z0=50 Ohms• C=1/pi(50)(6 GHz)=1.06 pF• L=(50)(50)(1.06E-12)=2.65 nH• Time Delay=SQR(2.65E-9)(1.06E-12)=53
ps• Phase Shift=360(3GHz)(53 ps)=57 degrees
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ADS Schematic for a Single Section “T” LPF
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ADS Simulation for a Single Section “T” LPF
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Single Section“T” HPF
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ADS Schematic for a Single Section HPF (Inverting LPF)
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ADS Simulation of a Single Section “T” HPF
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ADS Schematic of a Two Section LPF using Spiral Inductors
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ADS Simulation of a Two Section LPF with Spiral Inductor
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ADS Schematic for a Two Section HPF using Spiral Ind
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ADS Simulation of a Two Section HPF with Spiral Ind
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Basic Differential Circuit Topology
50 Ohm
50 Ohm
0 Degrees
180 Degrees
Virtual Ground
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ADS Center Tapped Transformer Element TF3
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Transformer Phase Splitter
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Simulation of Transformer phase Splitter
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ADS Schematic of a Single Section Differential LPF
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ADS Simulation of a Single Section Differential LPF
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Band Pass Filter Types
• Cascade an LPF and a HPF• Use a series or parallel resonant LC circuit
per section. Couple with series capacitors.• Use ½ wavelength microstrip resonator
sections. These filters are very large for IC applications, except at very high frequency.
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ADS Schematic of a Cascaded LPF and HPF forming a BPF
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ADS Simulation of a BPF Formed by Cascading LPF, HPF
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ADS Schematic of a Two Section Parallel Resonant LC BPF
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ADS Simulation of Two Section Parallel Resonant LC BPF
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ADS Schematic of a Microstrip ½ Wavelength Resonator BPF
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ADS Simulation of a ½ Wavelength Microstrip
Resonator BPF
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Splitters, Combiners, and Couplers
• Wilkinson 3 dB Power Splitter/Combiner• Resistive 6 dB Power Splitter/Combiner• High Ratio Directional Coupler
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¼ Wavelength Wilkinson 3 dB Power Splitter/Coupler Schemati
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Simulations of Wilkinson 3 dB Power Splitter/Combiner
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Schematic of a Wilkinson 3 dB Splitter Using Spiral Inductors
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Simulations of a Wilkinson Splitter/Coupler using Spiral Ind
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Schematic of a 6 dB Resistive Power Splitter/Combiner
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Simulations of a 6 dB Resistive Power Splitter/Combiner
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Schematic of a ¼ Wavelength Microstrip High Ratio Coupler
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Simulations of a ¼ Wavelength Microstrip High Ratio Coupler
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Homework #1: Differential BPF Design
• In Band Insertion loss < 1.0 dB• In Band Input/output match<-10 dB• Bandwidth: 5.20 GHz to 5.90 GHz (802.11a)• Reject Bands: 2.0 GHz to 2.5 GHz and 10.0 GHz
to 12.0 GHz• Rejection > 30 dB• Schematic to include all layout elements (I.e.
Spiral inductors) and any anticipated layout parasitics.
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