Gain ImplicationsI/O Reflection CoefficientsFundamental ConsiderationsEqualizers9, 1010/16/06Butterworth & Bessel BroadbandUUUniversity of SSSouthern CCCalifornia USC Viterbi School Of Engineering Department Of Electrical Engineering EE 541: #30705 Fall, 2006 Course Syllabus Choma ABSTRACT: EE 541 addresses the analysis, design, and implementation of high performance analog filters suit-able for data processing, information transmission, and radio frequency (RF) communication systems realized in modern monolithic circuit technologies. Several reasons underlie the necessity of suitable filters in these systems. Foremost among these reasons is that they can be used to match or otherwise modify circuit impedances to ensure the reasonably efficient transfer of signal power between driver and load ports. Maximum power transfer is a critical design objective in high frequency communica-tion networks because the anemic levels of signal power indigenous to such systems increase the risk of contaminating signal information content by omnipresent electrical noise. Filters can also be em-ployed to improve the high frequency responses of active circuits by mitigating the deleterious impact of active device capacitances. They can even improve the observable linearity of certain types of ac-tive systems through a sharp attenuation of the high frequency harmonics incurred by inherent active device nonlinearities. The RC and RLC filters implicit to electronic power supplies comprise simple examples of filters designed to obviate undesirable harmonics of power line frequencies. Finally, fil-ters can annihilate unwanted signals by offering designable frequency selectivity. For example, low-pass filters all but eliminate undesired signal or noise energy at very high frequencies, bandpass fil-ters offer frequency selective signal processing, as well as a reduction of cumulative output noise en-ergy, and stopband filters obviate the energy of specific frequencies lying within the frequency spectra of signal information earmarked for processing. Active filters comprised of resistors, capacitors, and either operational amplifiers (op-amps) or op-erational transconductor amplifiers (OTAs) are widely used in audio, video, and other types of rela-tively low frequency signal processors. But for systems operating in the high hundreds of megahertz -to- the tens of gigahertz, active filters are inappropriate because of the inadequate gain-bandwidth product, phase response, delay characteristics, and linearity metrics afforded by op-amps and OTAs. As a result, passive filtering networks containing resistors, capacitors, inductors, and even transform-ers and distributed transmission lines are commonplace in RF and ultra high frequency mixed signal integrated circuits. Indeed, and in stark contrast to more traditional very large scale integrated (VLSI) digital circuits, these monolithic RF units display a relatively high ratio of passive -to- active components. These latter (passive) filters comprise the dominant focus of EE 541. The fundamental theories that underpin the design and realization of passive filters were largely forged four -to- six decades ago by such technical luminaries as Cauer, Chen, Darlington, Foster, Huelsman, Mitra, and others. One course is not a sufficient forum to address all of these seminal contributions. But since an insightful understanding of relevant circuit theoretic concepts is essential to the meaningful and efficient design of passive filters for RF systems, EE 541 does address essential theoretic issues. Included among these issues are two port networks, scattering analyses, parametric sensitivity, and distributed network analyses. The latter analyses are pivotal for a satisfying under-standing of very high frequency circuit dynamics, and they form the basis for the design of distributed passive and active networks offering exciting I/O transfer characteristics, impedance matching, delay, and high frequency compensation attributes. The design strategies entailing impedance matching, broadband compensation, frequency response selectivity, and other types of filters are addressed de-finitively.EE 541 USC Fall Semester 2006 J. Choma 1. Course Administration The prerequisite for EE 541 is a basic undergraduate course in electronic circuits, such as EE 348 at USC. Course lectures are given on Tuesdays and Thursdays from 12:30 -to- 1:50 PM in Olin Hall of Engineering (OHE) Room #100C, and are broadcast via the Dis-tance Education Network (DEN). EE 541 lectures commence on Tuesday, 22 August 2006, and end on Thursday, 30 Novem-ber 2006. Students who are absent from a given lecture should arrange for a colleague to obtain any notes, homework assignments, homework solutions, or other information that may not have been posted to the course website. The last day to drop the course without a “W” grade is Friday, 08 September 2006. The last day to drop the class with a “W” grade is Friday, 10 November 2006. An Incomplete “IN” course grade is rarely given. An “IN” grade can be justified only in such substantiated ex-ceptional cases as protracted student illness, a temporary physical disability, or a serious, substantiated personal problem experienced after the twelfth week of the semester (subse-quent to 10 November 2006). The final examination is scheduled for Tuesday, 12 December 2006, from 11:00 AM -to- 1:00 PM. One midterm examination is also planned. A tentative date for the midterm ex-amination, which is announced well in advance of its administration, is Thursday, 19 Octo-ber 2006, which occurs in the ninth week of the semester. Review sessions designed to fa-cilitate comprehension of especially difficult technical material may be scheduled through-out the semester. Review sessions are also likely in advance of impending formal exami-nations. The results of the midterm examination, the final examination, and the design project (rec-ommended for execution by groups of nominally three -to- four students), combine with av-eraged homework grades in accordance with the algorithm given below to determine the fi-nal course average for each student. It should be noted that a conscientious effort is made to have homework assignments complement lecture material. Homework is assigned periodi-cally, and solutions are normally distributed on the day that assignments are handed in. MIDTERM EXAMINATION GRADE: 25% FINAL EXAMINATION