Final Project 4/2/2017 Kihwan Lee

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

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.

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 = 0.000222 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.

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

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

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

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