lecture0831

# lecture0831 - x School of Electrical and Computer...

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School of Electrical and Computer Engineering, Cornell University ECE 4880: RF Systems Fall 2015 Lecture 08/31/2015 Reading Assignments: 1. T. H. Lee, The Design of CMOS Radio Frequency Integrated Circuits , 2 nd Ed , Cambridge, 2004. Chap. 3 Lecture Flow: Three topics for electromagnetic review: LC resonator for impedance analysis Conjugate impedance match From Maxwell equations to the distributed and lumped transmission lines RLC resonators Maxwell’s equations are the physical truth describing the geometrical aspects of the electric and magnetic field profiles, subject to the boundary conditions and sources (net charge, current and magnetic dipole). Circuits, as in simulation program with an integrated circuit emphasis (SPICE), are topological descriptions of the voltage and current of the circuit nodes (integration of the equi-potential planes as the Maxwell’s equation solution, which will become clearer in the plane wave propagation example). R, L and C are 0D, 2-terminal circuit elements, when the physical implementation can be approximated by the topological description of two circuit nodes: V = ZR or v = iR i L j dt di L v L j Z L v C j dt dv C i C j Z C 1 Passive elements are very often used in RF design for filtering, impedance match and resonating circuits.

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