EECS 316 Fall 1999 Lecture Topics - Jeff Fessler
This list will be updated regularly (online) over the course of the semester.
Course Text: Signals and systems, Oppenhiem, Willsky, Nawab, 2nd edition

Lecture# topic (x.x.x indicate sections from text)

1
	course policies
	motivations
	signal classes

2
	signal notation
	1.2 time transformations
	amplitude transformations
	differentiator system

3
	integrator system
	two-signal operations
	1.2.3 even / odd signals
	1.2.2 periodicity
	sum of periodic signals
	1.4 step and rect function

4
	Dirac impulse function
	delta shifting property
	delta sampling property
	delta scaling property
	delta / step relations

5
	1.1.2 energy / power signals (moved from earlier to here
					to facilitate HW1)
	1.3.1 exponential signals (students read on own!)
	CT systems
	input-output relationship
	block diagram
	subsystem interconnection

6
	1.6 system classifications
	A-1 linearity
	A-2 stability

7
	A-3 invertibility
	T-1 causality
	T-2 memory

8
	T-3 time-invariance
	summary of ch 1
	impulse response

9
	impulse representation
	convolution
	commutative property
	car example

10
	graphical convolution recipe/example
	convolution properties

11
	convolution/impulse properties
	interconnection of LTI systems / example
	causality
	memory

12
	stability
	invertibility
	step response

13
	diffeq systems - RC example
	time-domain solution of diffeqs
	impulse response of diffeqs via step response

14
	block diagram implementation
	summary of chapter 1,2
	exponential signals through LTI systems

15
	review of chapter 1,2

16
	skip: orthonormal signals
	skip: orthogonal representation of signals
	Fourier series
	Hermitian symmetry of Fourier coefficients
	trigonometric forms of FS
	FS of square wave

(exam 1)

17
	FS convergence
	Gibbs phenomenon
	FS amplitude transformation
	ideas behind ck formula

18
	properties of FS
		FS time transformation
		differentiation property
		modulation property (skip)
		linearity
		filtering
	Fourier series through LTI yields Fourier series

19
	example: shifting square wave by 1/4 period (by request)
	parseval's theorem
	power density spectrum
	magnitude/phase spectrum

20
	FS of rect. pulse train
	FS of impulse train
	FS through LTI systems
	transfer function H(s)
	frequency response H(j omega), magnitude response, phase response
	cos/sin through LTI systems
	RC example (frequency response, magnitude response)

21
	square wave through RC
	transfer function of diffeq system

22
	notch filter example
	total harmonic distortion
	summary

23
	class canceled (nss/mic)

24
	Fourier transform development
	existence of FT
	FT of rect, impulse, exponential

25
	FT of sgn, step, DC
	DC value
	FT of periodic functions
	linearity property
	time-transformation property
	symmetry properties (even, real)

26
	general symmetry properties
	duality
	time differentiation
	time integration
	frequency differentiation
	convolution property derivation

27
	convolution examples
	basics of PFE
	time-domain multiplication
	frequency shift, modulation
	pulsed cosine example

28
	tri <-> sinc^2
	parseval's theorem
	energy density spectrum
	skip: power density spectrum
	system response by Fourier methods
	RLC circuits and complex impedance by FT properties
	step response of RC circuit
	RLC frequency response example
	diffeq of RLC from H(w)

29
	RLC impulse response example
	partial fraction expansions
	PFE example
	review/summary of diffeq systems / RLC / Fourier
	review

30
	review

(exam 2)

31
	unit impulse review
	DSP overview
	A/D conversion
	FT of (impulse) sampled signals
	bandlimited signals
	nyquist sampling rate

32
	sampling theorem
	aliasing
	sinc interpolation

33
	linear interpolation
	inverse filters
	pulse-train sampling
	skip: DTFT/FT relationships

34
	sinusoidal amplitude modulation
	demodulation
	frequency-division multiplexing
	heterodyning (overview)

35
	heterodyning overview
	Laplace transform

36
	relation between Laplace and Fourier
	region of convergence (ROC)
	general form for ROC

37
	rational Laplace transforms
	ROC for rational Laplace transforms
	inverse Laplace transform
	modes and decay rates from s-plane
	PFE revisited
	stability of systems with rational system functions
	natural response / modes
	stability in terms of root (pole) locations

38
	PFE example - complex conj. pair of poles
	pole-zero plot tells all
	magnitude and phase response from pole-zero

39
	bode plots

40
	LT properties
	feedback

------------------ everything below here from previous semester -------------

41

	ideal filters
	practical filters

	butterworth filters
	linear phase
	filter delay
	tradeoffs

	improper rational system functions and "residue"
	frequency scaling of poles/zeros
	bandwidth

	rms bandwidth
	rms time duration
	time-bandwidth product, gaussian example