1. Final Project
4/2/2017
Kihwan Lee

2. LNA Design Specification
Description
Value
Unit
Operating frequency
2.5
Ghz
Supply Voltage
1.5 V
CMOS
Length
180 nm
Width
0.6 mm Id
0.33 mA
Die Capacitance 50 pF
Input impedance
Ohm
Load Capacitance 40
All specifications were set in the beginning of the LNA design, except CMOS width.
The CMOS width has been varied to find out a working width that satisfies both tranconductance of 1/50 and 2.5 Ghz operating frequency.
Id (Volt) gm

3. LNA Schematics
The following LNA schematics has been explored. However, the details of LNA design has not been applied to this level due to lack of time.

4. LNA Component Dimensions
Description
Design Point
Dimension
CMOS
f = 2.5Ghz, Id = 0.33 mA
180 nm X 0.6 mm
Capacitor
C = 30e-15 F
1.84 mm X 1.84 mm X 1 mm
C = 40e-15 F
2.125mm X 2.125mm X 1 mm
C = 50e-15 F
2.38 mm X 2.38 mm X 1 mm
C = 1.2e-12 F
11.6 mm X 11.6 mm X 1mm
Inductor
L = 1 nH
Dout = 2.22E-05 m, W = 1.11E-06 m, N = 5, S = 2.22E-07 m
L = 10 nH
Dout = m, W = 1.111E-05 m, N = 5, S = 2.22E-06 m
Resistor
17 Ohm
Wire length = 1.01E-03, Width = 1.00E-05, thickness = 1.00E-07, resistivity = 1.68E-08
50 Ohm
Wire length = 2.98E-04, Width = 1.00E-06, thickness = 1.00E-07, resistivity = 1.68E-08
1000 Ohm
Wire length = 5.95E-03, Width = 1.00E-06, thickness = 1.00E-07, resistivity = 1.68E-08
6900 Ohm
Wire length = 4.11E-03, Width = 1.00E-06, thickness = 1.00E-08, resistivity = 1.68E-08
Dimension of each LNA components are calculated at the design point.
Die size estimate: 200 mm X 200 mm, based on rough observation of the component sizes.

5. CMOS Calculation
Using tranconductance of 1/50 and operating frequency of 2.5 Ghz.

6. Capacitance Calculation
Based on the formula:
C = e0 * er * Area/separation

7. Inductance Calculation
Based on the formula:
L = (µ0*N2*Davg α1 )/2*( ln (α2/ρ) + α3 * ρ + α4*ρ2

8. Resistance Calculation
Based on the formula:
R = ρ * length/(with* thickness), where Cu is assumed for the material