EE310syllabus

Week8:samplingofsignals;zero-orderholds;signalreconstruction:theShannon-

Nyquist Sampling Theorem;introduction to digitalsignal processing.

Week9:introduction to communication systems;amplitude modulation anddemod-

ulation;introductiontofrequencymodulation;timeandfrequencymulti-

plexing; how yourradio works.

Week10:introductiontoLaplacetransforms;blockdiagrams;thetransferfunction

ofacontinuous-timelineardynamicalsystem;z-transforms;thetransfer

function of adiscrete-time lineardynamical system.

Week11:introductiontofeedback;rootlocus;theNyquiststabilitytest;gainand

phasemargin; how an autopilotworks; howyour cruisecontrol works;why

apublic address system sometimes screeches; the ageof rob ots is coming.


		SYLLABUS EE310a- SignalsandSystems
	Instructor:A. S.Morse, 508 Dunham Lab.x24295,morse@sysc.eng.yale.edu
	Brief Summary: Concepts for the analysis of sampled-data and continuous time linear systems including convolution, pulse and impulse resp onses, continuous and discrete Fourier series and transforms, frequency responses and Bode diagrams, Laplace and Z-transforms and transfer functions, state equations. Notions of sta- bility including the Nyquist Criterion and Lyapunov's test.Introduction to digital communication concepts including the Shannon-Nyquist Sampling Theorem, digi- tal Øltering, the fast fourier transform, and AM and FM modulation. Introduction to feedback including digital control concepts for robotic systems.
	Organization: The course meets on Mondays and Wednesdays from 9:00am to 10:15am. There are approximately eleven weekly homework assignments. There is a mid-term and a Ønal in-class exam.
	Course Text:Signals andSystems, A. V. Oppenheim andA. S.Willsky, Pren- tice Hall, 2ndEdition, 1996.
	Contents:
Week1:continuousanddiscrete-timesignals;transformations;exp onentialandsi- nusoidalsignals; impulse andstep signals.
Week2:continuousanddiscretesystems;system memory, causality, stability, time invariance, linearity.Convolution sum.
Week3:convolution integral; properties of linear systems;introduction to linear dy- namical discrete andcontinuous systems;characterizations via impulse and stepresponses.
Week4:continuous-time Fourier series;series convergence; properties;discrete-time Fourier series;properties; examples
Week5:continuous-time Fourier transform; transformsof periodicsignals; convolu- tion andmultiplication properties.
Week6:Fourier transform of an impulse resp onse; the frequency response of a linear dynamical system; howyour hi-Ø ampliØer works.
Week7:discrete Fourier transform;timeandfrequency characterizationsofsignals andsystems; magnitude andphaserelations; Bode diagrams;examples.