• Series resonance @fImg→ improves image rejection
fmax
Noise Rejection
M3 X In
M1
Cx
Lx
Noise Figure
Parasitic capacitance Cx degrades the noise performance.
Without LX
With LX
fmin
fimg
fsig Frequency
• Parallel resonance @fSig→ improves noise figure
fmax
Solution: Third-Order Filter 2
L5 ⋅ ( C 3 + C 1 ) ⋅ s + 1 Z f ( s ) = -------------------------------------------------------3 C 1 ⋅ C 3 ⋅ L5 ⋅ s + C 3 ⋅ s
C3
L5
ωp = 0 1 ω p = ± --------------------L5 ⋅ C 1 1 -------------------------------------ωz = ± L5 ⋅ ( C 3 + C 1 )
Zf
C1
LNA/Filter Transfer Function log Z f ( f )
1 log --------- gm 3
Out 1/gm3 C3 M3
In
L5
M1
C1
fmin
fimg
fsig
fmax
fmin
fimg fsig Frequency
fmax
V Out ( f )
-----------------V In ( f )
Zf
Equivalent Noise Circuit for the LNA Zin
X
M3
Iout
Lg M1 Cx Ls First stage
Second stage
(all noise sources modeled)
V
Rs
2 g1
I
+ −
2 V + s −
(Only drain noise modeled)
+
2 g1
V1
I
Rin1
− G m1 V 1
2 d3
+
Cx
V3 1/gm3 g V − m3 3
Iout
Filter Noise Model C3 Cx
C1
L5
I
2 L5
1 ----------G L5
Simplifies to 2 2 ψI + I d5 L5
1 – ---------g m5
I
2 d5
Noise Formulas F no – filter = F 1 +
2 2 ω 0 C x 2 - ω 0 4R s γ 3 g do3 ------2- -------2 ω T g m3
F with – ideal – filter = F 1 F tot = F 1 + ψ ⋅ 4R s ( γ 5 g do5 +
2
2 ω0 G L5 ) ------2- ωT
2
C 3 ⋅ ω0 = ----------------------------------------------------------------------------, ψ Where 2 2 C3 2 2 ------------------- ⋅ ω 0 + ( G L5 – g m5 ) C x + C 3
and F1 is the noise figure of the first stage defined in: D. Shaeffer and T. Lee, “A 1.5V, 1.5 GHz CMOS Low Noise Amplifier”, IEEE Journal of Solid-State Circuits, May 1997, pp. 745-759.
Receiver Architecture Fractal Capacitors +
Σ _
Baseband Buffer
I
Baseband Buffer
Q
LNA Tracking Filter
+
+ Σ
Vc VCO Loop Filter Image-Reject PLL
Charge Pump
PFD
LO2 Buffers
LO1 Buffers Q
I LO1
Q
LO2 Synthesizer
I
Circuit Implementation: LNA and filter LNA
L3
In+
L4
M3
M4
M1
M2
L1
In-
L2 I1 (Const. gm source)
C3
L5
M5 Filter
C1Vc C2
L6
C4
M6 I2 (Const. gm source)
Receiver Architecture Fractal Capacitors +
Σ _
Baseband Buffer
I
Baseband Buffer
Q
LNA Tracking Filter
+
+ Σ
Vc VCO Loop Filter Image-Reject PLL
Charge Pump
PFD
LO2 Buffers
LO1 Buffers Q
I LO1
Q
LO2 Synthesizer
I
Circuit Implementation: First Mixers IF+
LO1
M3
M4
LO1
RF+ RFLO1
M1
M2
LO1
IF-
- A. Shahani, et al, “A 12-mW wide dynamic range front-end for a portable GPS receiver,” IEEE J. Solid-State Circuits, vol. 32, pp. 20612070, Dec. 97.
Receiver Architecture Fractal Capacitors +
Σ _
Baseband Buffer
I
Baseband Buffer
Q
LNA Tracking Filter
Vc
+
+ Σ
Loop Mixer
VCO Loop Filter Image-Reject PLL
Charge Pump
PFD
LO2 Buffers
LO1 Buffers Q
I LO1
Q
LO2 Synthesizer
I
Circuit Implementation: VCO and Loop Mixer Vbias
Loop Mixer
IF+ LO1
M3
M4
LO1
LO1
RF+ RFM1 M2
LO1
IFVbias C3
L5
C1
Vc
C2
M5 VCO
L6
M6 I3
C4
Receiver Architecture Fractal Capacitors +
Σ _
Baseband Buffer
I
Baseband Buffer
Q
LNA Tracking Filter
+
+ Σ
Vc VCO Loop Filter Image-Reject PLL
Charge Pump
PFD
LO2 Buffers
LO1 Buffers Q
I LO1
Q
LO2 Synthesizer
I
Circuit Implementation: Second Mixers To Current Summing Resistors +Out
-Out
+ LO Ib
+In
-In
DC Offsets
Baseband Amp
LO Leakage
Interferer Leakage
LO
Baseband Amp
LO
DC Offset Cancellation Techniques • Capacitive Coupling - Requires a large capacitor
Baseband Amp LO
• Negative Feedback - Nonlinear
Baseband Amp
LO
-a MOS Capacitor
• TDMA offset Cancellation - Requires a large capacitor
Baseband Amp LO
Switch
Traditional Capacitors Gate Capacitance: High capacitance per unit area Nonlinear Requires DC bias voltage Low breakdown voltage Medium Q
Junction Capacitance: Highly nonlinear Requires DC bias voltage Sensitive to process variations Low Q Large temperature variation
Metal to Metal / Poly Capacitance: Linear High Q Small temperature variation Low capacitance per unit area
Thin-Insulator Capacitors: Linear Expensive Not available in standard CMOS
Improving Capacitance Density • Lateral flux improves capacitance density.
• Structures with large periphery are desirable. • Some fractals have finite area but infinite perimeter.
Scalability Unlike conventional parallel-plate structures, the capacitance per unit area increases as the process technologies scale.
Reduction of the Bottom-Plate Capacitance Area is smaller. Some of the field lines terminate on the adjacent plate instead of the substrate. First Terminal
Second Terminal
Second Terminal
First Terminal
Substrate
Improved Matching 6
Number of dice
5
Central sites σcentral=9.4fF (0.2%) 8”
4 m=5.5pF σ=83fF
3
22mm
2 1 0
5.4pF
5.5pF Capacitance
5.6pF
Capacitance distribution across the wafer
CAD Tool Layout
Tech. File
Fractal Lib.
User Input
Field Solver
LGFC
C Ls & rs
Report LGFC Layout Generator for Fractal Capacitors
Power dissipation Synthesizer Divide-by-8 (for LO2) Signal path Image-reject PLL LO buffers Biasing Total power Supply voltage
25.3mW 6.0mW 18.5mW 3.1mW 5.0mW 0.9mW 58.8mW 1.8V
Implementation Die area Technology Package
4mm2 0.24-µm CMOS 32-pin ceramic flat pack
Required 18.3dB
-21dBm -47dBm -57dBm
Contributions • Implementing the first 5GHz CMOS wireless-LAN receiver. The receiver is: - highly integrated - low power - highly linear and tolerates large blockers
• Developing a novel RF filter topology that: - rejects the image signal - improves the LNA noise figure
• Demonstrating the feasibility of automatic tuning techniques at RF frequencies using a low power image-reject PLL.
Contributions • Implementing a novel capacitor structure using fractal geometries. • Demonstrating the benefits of fractal capacitors including: - area efficiency - linearity - scalability - reduced bottom-plate capacitance - improved matching characteristic
• Developing a CAD tool to automatically generate custom fractal layouts.