Exam and homeworks: there will be 2 midterm exams (1 hour each), 1 final (3 hour), and quiz approximately once a week in the beginning of the Wed lecture (10 minutes). Homeworks will be assigned once per week, due the following week. Quiz problems will be mostly coming from the homework. You are encouraged to study and complete homework problems in groups. But you must understand what you write for the homework! There will be some computer assignments that requires the use of Matlab.

Grading Policy: First midterm: 20%, Second midterm: 20%, Final: 40%, Quiz: 10%, Homework: 10%

Text Book: A. V. Oppenheim and A. S. Willsky, Signals and Systems, 2^nd ed. Prentice Hall, 1997

Optional References: The Schaum's outline of Signals and Systems by Hwei Hsu, McGraw-Hill, 1995. (on reserve in the library)

Lecture Outline (# in parenthesis refer to section # in the text book)

• Week 1: Applications of signal processing; Continuous and discrete time signals including special signals such as exponential, sinusoidal, unit impulse and step function (1.1-1.4)

• Week 2: Continuous and discrete time systems and basic properties (1.5-1.6) Discrete time LTI Systems: impulse response and convolution sume (2.1)

• Week 3: Continuous time LTI Systems: impulse response and convolution integral (2.2); Properties of LTI system (2.3)

• Week 4: Differential and difference equation representation of LTI systems (2.4); Block diagram representation (2.4)

• Week 5 (No Monday class, 2/19) First Exam on the Recitation hour, covering properties of systems and LTI system in particular, concept of impulse response, discrete and continuous time convolution; Complex exponentials as eigen functions of LTI systems (3.2); Fourier series representation of continuous time periodic signals(3.3, 3.5)

• Week 6: Response of LTI systems to periodic signals using Fourier series representation (3.8); Filtering concept: frequency shaping and frequency selective filters (3.9); Example filter systems (3.10,3.11)

• Week 7: Continuous time Fourier transform (CTFT) (4.1) and their properties (4.3); CTFT for periodic signals (4.2); Convolution and multiplication properties (4.4, 4.5); Application to modulation and frequency multiplexing in communications (8.1,8.3)

• Week 8: Frequency and impulse response of systems characterized by differential equations (4.7); Derivation of impulse response of differential equations using partial fraction expansion

• Week 9: Discrete time Fourier transform (DTFT) (5.1) and their properties (5.3); Convolution and multiplication properties (5.4,5.5);Frequency and impulse response of systems characterized by difference equations (5.8)

• Week 10: Second exam (Monday 1 hour), covering FS, CSFT, DSFT, Frequency and impulse Response of differential and difference equation systems; Sampling theorem and effect of sampling (7.1-7.3)

• Week 11: Laplace transform and region of convergence (9.1,9.2), inverse Laplace transform (9.3), Properties (9.5)

• Week 12: Evaluation of CSFT from the pole-zero plot of Laplace transform (9.4); Characterization of differential equation system using Laplace transform (9.7); Block diagram representations of sytesms described by differential equation systems and rational system function (9.8)

• Week 13: Z-transform and region of convergence (10.1,10.2), inverse Z-transform (10.3), properties of Z-transform (10.5), Convolution as polynomial multiplication; Evaluation of DTFT from the pole-zero plot of Z-transform (10.4); Characterization of difference equation systems using Z-transform (10.7); Block diagram representations for systems described by difference equations and rational system functions (10.8)

• Week 14: Last class on Monday: review

• Final exam: TBA (3 hour, comprehensive)