EE 448 University of Southern California Department of Electrical Engineering Dr. Edward W. Maby Class #1 11 January 2005 0 Course Personnel Dr. Edward W. Maby (Instructor) [email protected] 740-4706 Office Hours: MW 1:00 - 2:00 PHE 626 Clint Colby [email protected] Tyler Rather [email protected] University of Southern California - EE 448 - Class #1Slide # 1 Grading Policy Midterm 1 Midterm 2 Homework Final Exam 25% 25% 15% 35% 17 February 24 March 10 May No Make-Up Exams Homework Conditions Borderline Grades Same “Curve” for Graduate Students University of Southern California - EE 448 - Class #1Slide # 2 Course Objectives Circuit Concepts for RF Systems Transmission Lines, Impedance Matching Noise and Distortion Analysis Filter Design RF System Components Low-Noise Amplifiers, Power Amplifiers Mixers and Oscillators Elementary Transmitter/Receiver Architectures and Their Board-Level Implementation University of Southern California - EE 448 - Class #1Slide # 3 Why RF ? Ever-Growing Wireless Applications Personal Communication Systems Satellite Systems Global Positioning Systems Wireless Local-Area Networks Strong Demand for Wireless Engineers Digital is HOT Analog is COOL RF Design is an ART University of Southern California - EE 448 - Class #1Slide # 4 Emphasis ??? Designing RF Integrated Circuits Designing With RF Integrated Circuits Some Engineers More Engineers Difficult to Satisfy Both Objectives University of Southern California - EE 448 - Class #1Slide # 5 EE 448 Textbooks The Design of CMOS Radio-Frequency Integrated Circuits Planar Microwave Engineering: A Practical Guide to Theory Measurements and Circuits Arshad Hussain Microwave and RF Design of Wireless Systems W. Alan Davis and Krishna K. Agarwal Advanced RF Engineering for Wireless Systems and Networks Thomas H. Lee Radio Frequency Circuit Design Thomas H. Lee (required) David M. Pozar High-Frequency Techniques Joseph F. White University of Southern California - EE 448 - Class #1Slide # 6 Some Good Advice … Read the Syllabus Come to Class (Come to Class Early) Do the Homework (But Not One Hour Before a Deadline) (And Don’t Give Up Easily) Enjoy the Course ! University of Southern California - EE 448 - Class #1Slide # 7 Basic Radio Systems Data In Modulator IF Filter Mixer Bandpass Filter Power Amplifier X Local Oscillator Transmitter Bandpass Low-Noise Filter Amplifier Mixer IF Filter IF Amplifier Demodulator X Receiver University of Southern California - EE 448 - Class #1Slide # Local Oscillator Data Out 8 Connecting the Boxes Antenna RF Link Between Transmitter and Receiver (Marginal Issue for EE 448) Transmission-Line Connections Between Internal Transmitter/Receiver Components l = Velocity / Frequency Circuit Dimensions Comparable to l at High Frequencies (>> 1 GHz) “Distributed” Circuit Behavior University of Southern California - EE 448 - Class #1Slide # 9 Transmission-Line Model Two “Wires” with Uniform Cross Section L (inductance), C (capacitance) per unit length Transverse Electromagnetic Fields Quasi-Static Solutions L = L (m, xy geometry), C = C (e, xy geometry), LC=me R (resistance), G (conductance) per unit length (Consider Physical Mechanisms Later) University of Southern California - EE 448 - Class #1Slide # 10 Telegraphers Equations (Heaviside, 1880) University of Southern California - EE 448 - Class #1Slide # 11 Power Implications Dissipated Power University of Southern California - EE 448 - Class #1Slide # Change in Stored Linear Energy Density 12 Time-Domain Solutions (No Loss) Wave Equation Forward Wave Reverse Wave Velocity No Wave Dispersion (Corruption) During Propagation University of Southern California - EE 448 - Class #1Slide # 13 Frequency Domain v and i have Time Dependence (Similar equation for i) Propagation Constant R and G may be w dependent University of Southern California - EE 448 - Class #1Slide # 14 Freq.-Domain Solutions Forward Reverse (V+ and V- are Fourier Amplitudes) Similar form for i (z,t); however, Characteristic Line Impedance (Zo Follows Directly from Transmission-Line Model) University of Southern California - EE 448 - Class #1Slide # 15 Low-Loss Propagation Assume (OK to 10 GHz) For Line Length l, • Attenuation in dB • Attenuation in nepers University of Southern California - EE 448 - Class #1Slide # 16 Velocities and Wavelength Fixed Phase Angle Phase Velocity: w Independent No Dispersion Group Velocity: (Applies to Modulated Signal) Wavelength: University of Southern California - EE 448 - Class #1Slide # 17 Historical Remarks (Transatlantic Cable) First Telegrapher’s Equations: (No L or G) Prof. William Thomson (Later Lord Kelvin) 1854 Diffusion Equation (Applies to Most Ordinary IC Interconnects) University of Southern California - EE 448 - Class #1Slide # 18 Diffusion Solutions Unit-Step Input: For line length l, imax at Pulse Input: University of Southern California - EE 448 - Class #1Slide # 19 Diffusion “Velocity” Sinusoidal Input: “Velocity” Dispersion, High-Frequency Attenuation University of Southern California - EE 448 - Class #1Slide # 20 Did Engineers Care? Dr. Edward Orange Wildman Whitehouse M.D. Chief Electrician, Atlantic Telegraph Company, 1856 On Thomson’s Results … “In all honesty, I am bound to answer, that I believe nature knows no such application of that law; and I can only regard it as a fiction of the schools, a forced and violent adaptation of a principle in Physics, good and true under other circumstances, but misapplied here.” Nahin, p. 34 First Transatlantic Cable (1858) Whitehouse: Long Cable Requires Large-Voltage Input 2000-V “Stroke of Lightning” per Pulse (Obviously) University of Southern California - EE 448 - Class #1Slide # 21 What Happened Next? Queen Victoria and James Buchanan Exchange Messages Great Celebration, Public Pleased Cable Insulation Fails, Cable Dead, Public Angry Boston Headline: Was the Atlantic Cable a Humbug? Investor: Was Cyrus Field an Inside Trader? Further Experiments: High Voltage Not Necessary Whitehouse Fired Second Transatlantic Cable Successful (1866) University of Southern California - EE 448 - Class #1Slide # 22 Minimal Dispersion ? Telegraph Lines Make Poor Telephone Lines (Bell Fails to Propagate Voice Over Atlantic Cable - 1877) ? Heaviside (1887) Increase L by Adding Series Loading Coils at l/4 Intervals Improve Audio Bandwidth, But Suppress High Frequencies H88 Standard (88 mH at 6000-foot Intervals) Bad for DSL University of Southern California - EE 448 - Class #1Slide # 23 Dispersion - Skin Effect Skin Depth Real Part: Imaginary Part: Amplitude Distortion Phase Distortion Rise Time University of Southern California - EE 448 - Class #1Slide # 24 Dispersion - Dielectric Loss General Relation for Capacitance: Dielectric Constant Has Real and Imaginary Parts (Loss Tangent) Loss Dielectric Loss Overtakes Skin-Depth Loss (f >> 1 GHz) University of Southern California - EE 448 - Class #1Slide # 25 Digital Digression Dispersion Promotes Inter-Symbol Interference Equalization at Receiver Correct for Group Delay Correct for Amplitude Distortion Difficult for Very-High Data Rates Pre-Emphasis (Pre-Distortion) at Transmitter Increase Pulse Amplitude After Transition MAX3292 (for RS-485) See Widmer et al. (IBM) IEEE JSSC 31, 2004 (1996) University of Southern California - EE 448 - Class #1Slide # 26 Why 50 Ohms? (Lee, pp. 229-231) Consider Coaxial Cable With Inner and Outer Diameters a and b Maximum Deliverable Power: Zo = 30 W Minimum Attenuation: Zo = 77 W (75 W - Cable TV) Compromise: Zo = 50 W University of Southern California - EE 448 - Class #1Slide # 27 Microstrip Lines w e h Important Substrate Properties Substrate Relative Dielectric Constant Loss Tangent Thermal Conductivity Dielectric Strength Numerous Design Equations for Zo and Effective e See Davis and Agarwal, pp. 71-74; Chang, pp. 43-49 Calculator: http://mcalc.sourceforge.net/#calc University of Southern California - EE 448 - Class #1Slide # 28 Design Formulas Define Then Assumes “Narrow” Lines University of Southern California - EE 448 - Class #1Slide # 29 References (Other than course texts) Richard B. Adler, Lan Jen Chu, and Robert M. Fano, Electromagnetic Energy Transmission and Radiation (1960) Paul J. Nahin, Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age (1988) Henry M. Field, History of the Atlantic Telegraph (1866) Kai Chang, RF and Microwave Wireless Systems (2000) Richard E. Matick, Transmission Lines for Digital and Communication Networks (1969) University of Southern California - EE 448 - Class #1Slide # 30
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