ECE 330 Signals and Systems, Lec. 1, Spring 1998

1/20	Overview of the course.  Review of some mathematical background
	on complex numbers, exponentials, and sinusoids.  Integration by parts.
	Assigned HW: Ch 1: 48(a), 49(c)(f)(i), 51(a)(e), 53(d), 56(e)
	DUE Thur. 1/29.

1/22	Handout on integration by parts, including two HW problems DUE Thur. 1/29.
	Covered the geometric series formula (see Problem 1.54 on p. 73)
	Section 1.1.2: Signal Energy and Power.  Section 1.2.1: Transformations
	of the Independent Variable.

1/27	Finished Section 1.2.1. Section 1.2.2: Periodic Signals, Section 1.2.3:
	Even and Odd Signals.  Section 1.4: The Unit Impulse and the Unit
	Step.  Began discussion of discrete-time unit step.
	Assigned HW: Ch 1: 21(b)(c)(d), 22(a)(d)(h), 23(a)(b), 24(a),
	25(a)(c)(e), 26(a)(b)(c) DUE Thur. 2/5.

1/29	Continued with Section 1.4: Discrete-time unit step and impulse.
	The continuous-time unit step and unit impulse (Recommended reading
	the discussion on p. 36 of the textbook.)
	Assigned HW: Ch 1: 22(e)(f) DUE Thur. 2/5.

2/3	Finish discussion of the continuous-time unit impulse.
	Section 1.5: Continuous and discrete-time systems.
	Section 1.6: Basic system properties.

2/5	Continued with Section 1.6: Stability, time invariance, and linearity.
	Assigned HW: Ch 1: 21(e)(f), 27(a)(c)(e), 28(c)(d) DUE Thur. 2/12.

2/10	Finish Chapter 1 (linearity, examples)
	Assigned HW: Ch 1: 42(a)(b)(c), 43(a)(b), 55(a)(f) DUE Thur. 2/19.
	Begin Chapter 2.  Section 2.1: Discrete-Time LTI Systems.

2/12	Review of Dirac delta function.  Function notation.  Examples
	of linearity, time invariance, memoryless, causality.
	Continued with Section 2.1 on discrete-time LTI systems.

2/17	Graphical discrete-time convolution.  Worked Examples 2.3
	and 2.4 in the text.

2/19	Worked Example 2.5 in the text and another example.
	Discussed material to be covered on Midterm 1.

2/24	Review for Midterm 1.

2/26	Midterm 1, in class

3/3	Returned and went over exam.  Section 2.2: Representation of
	continuous-time LTI systems by convolution integrals.
	Continuous-time graphical convolution.
	Worked examples 2.6 and 2.7 from the text.
	Assigned HW: Ch 2: 21(a)(b)(d), 24(a)(b) DUE Thur. 3/19.

3/5	Worked Example 2.8 in the text.  Section 2.3: Properties of LTI
	systems.  Commutivity, associativity.  Systems with and without
	memory.  Causality, Stability.  Step response.
	Assigned HW: Ch 2: 21(c), 22(a)(b)(c)(d), 44(a)(b)(c) DUE Thur. 3/19.

3/10	No class - Spring Recess
3/12	No class - Spring Recess

3/17	Finished Section 2.3.7 on stability.  Briefly discussed Section 2.4:
	The discussion was motivated by Problems 2.55 and 2.56.
	Began Chapter 3 on Fourier series, Sections 3.1-3.3.
	Assigned HW: Ch 2: 28(a)(c)(e)(g), 29(a)(c)(e)(g),
	48(a),(c)-(h) DUE Thur. 3/26.

3/19	Class canceled.

3/24	Continued with Section 3.3.  Section 3.5: Properties of Fourier Series.
	Assigned HW: Ch 3: 22(a; graphs a,b,d,f)(b) DUE Thur. 4/2.

3/26	Continued with properties of Fourier Series.
	Mentioned applications to switched power supplies, etc.
	Assigned HW: Ch 3: 23(a)(c), 26(a)(b)(c) DUE Thur. 4/2.

3/27	FRIDAY: Last day to drop courses for undergrads

3/31	Started Chapter 4 on Fourier Transforms, Sections 4.1-4.2.

4/2	Sections 4.3-4.4: Properties of Fourier transforms.
	Assigned HW: Ch 4: 21(a)(b)(d)(g)(i), 22(b)(c)(d) DUE Thur. 4/9.

4/7	Covered material based on Sections 4.4-4.6 -- the filtering
	interpretation of the operation of LTI systems.  Application
	to noise removal, DSB-SC systems, Doppler shift identification.
	Assigned HW: Ch 4: 23(a)(b)(c), 24(a)(b), 25(b)-(f)
	NOTE: in 25 do NOT evaluate X(w) explicitly.  Also, on (f),
	consult the table on p. 328 of transform properties.  DUE Thur. 4/16.

4/9	Used 2-d Fourier transforms to explain how tomography works.
	Begin Chapter 5: The Discrete-Time Fourier Transform.

4/14	Discussed material to be covered on the second midterm next week.
	Finished Chapter 5.  Started Chapter 7 on Sampling.
	Assigned HW: Ch 5:  21(a)(d)(j), 22(a)(c)(f), 23(a),(c)-(f)
	24(a)(g)(h)(i) DUE (in 2 weeks, after the midterm) Thur. 4/30.

4/16	Derived the sampling theorem using Fourier series/transforms,
	using impulse sampling, and using a zero-order hold.

4/21	Worked problems based on material on midterm 2.

4/23	Midterm 2, in class

4/28	Introduction to the Laplace transform, including regions of
	convergence.  Worked examples.  Causal, anti-causal, and noncausal
	waveforms.  Pole-zero plots.
	Assigned HW: Ch 9: 21(a)(c)(f)(i), 22(a)(c)(e)(g).  DUE Thurs. 5/7.

4/30	Partial fraction expansion.  Laplace transform of causal functions
	with initial conditions.  Laplace transforms of differential
	equations.  Solving differential equations with Laplace transforms.
	Assigned HW: Ch 7:  21(a)(b)(d), 22.  Two problems on the board.
	DUE Thur. 5/7. TA evaluations.

5/5	Went over second midterm.  Discussed aliasing and oversampling.

5/7	Review for final exam.

5/11	MONDAY, Final Exam, 5:05 pm 212, Animal Science.