ECEN 5254 Remote Sensing Signals and Systems Professor Albin J. Gasiewski Lecture #14 – March 1, 2012 ECOT 246 303-492-9688 (O) [email protected] Classes: ECCS 1B14 TR 9:30-10:45 AM 1 ECEN 5254 Remote Sensing Signals & Systems Spring 2012 University of Colorado at Boulder Last Lecture • Gain, noise figure, Friis formula • Y-factor • Gain & offset fluctuations • Homodyne detection • Linear calibration 3 ECEN 5254 Remote Sensing Signals & Systems Spring 2012 University of Colorado at Boulder Today’s Lecture • Linear N-port devices • Bosma's theorem • Mixers, SSB/DSB detection • LO noise suppression 4 ECEN 5254 Remote Sensing Signals & Systems Spring 2012 University of Colorado at Boulder Typical Radiometer System - Detailed Many components (both passive and active) between antenna port and detectors – whether in a radiometer or radar! 5 Linear N-Port Devices 6 Complex Power Waves Single-port I(z) linear network + Z o Z V(z) Z ~ o l E - o z 7 Complex Power Waves* Single-port I(z) linear network + Z o Z V(z) Z ~ o l E - o z ↔ *Kurokawa, IEEE Trans MTT, 1964 8 Complex Power Waves - Maximum Power I(z = 0) At network terminals (z = 0): + V(z = 0) Z l - Maximum available power from source (exchangeable power) 9 Interpretation of a Wave I(z = 0) + Thevenin equivalent Z o circuit of source: V(z = 0) Z ~ l E - o Maximum available power from source, (a = incident power wave) 10 V-I ↔ a-b Relationship 11