7/31/2014 Signals and Systems– ECE501 16:332:501 Professor Lawrence Rabiner Rutgers University Dept. of Electrical and Computer Engineering Sept-Dec 2014 1 1 7/31/2014 Course Description This course emphasizes the application of basic concepts of linear signals and systems via the following sequence of lectures: – – – – – – – – – – – Basic concepts of signals and systems Introduction to Linear Time-Invariant Systems Fourier Series Representation of Periodic Signals The Continuous Time Fourier Transform The Discrete Time Fourier Transform Time and Frequency Characterization of Signals and Systems Sampling Communication Systems (Modulation) The Laplace Transform The z-Transform Linear Feedback Systems 2 2 7/31/2014 Course Information • Textbook: Signals & Systems, A. V. Oppenheim and A. S. Willsky, Prentice-Hall Inc., 1997. • Grading: – Homework – Mid -Term Exam – Final Exam 20% 30% 50% • Prerequisites: None • Time and Location: Wednesday, 9:00 am to 11:20 pm, Allison Room ARC 105. • Course Website: cronos.rutgers.edu/~lrr/ • Office Hours: Tuesday, 10:30-11:30 am • Homework Grader: Valerie Yang; [email protected] 3 3 7/31/2014 Web Page for Signals and Systems Course http://cronos.rutgers.edu/~lrr/ Click on Linear Signals and Systems on left-side panel 4 4 7/31/2014 Web Page for Signals and Systems Course http://cronos.rutgers.edu/~lrr/ Download course lecture slides 5 5 7/31/2014 Web Page for Signals and Systems Course http://cronos.rutgers.edu/~lrr/ 6 6 7/31/2014 Web Page for Course Course lecture slides (6-to-page) 7 7 7/31/2014 Web Page for Signals and Systems Course Homework Download homework assignments Speech Files 8 8 7/31/2014 Web Page for Signals and Systems Course Image Files Download image (.tif, .jpg) and/or MATLAB (.m) files MATLAB Files 9 9 7/31/2014 Course Readings Required Course Textbook: • A. V. Oppenheim and A. S. Willsky, Signals and Systems, Prentice-Hall Inc., 1997 Recommended Supplementary Textbook: • None 11 10 7/31/2014 Signals and Systems Practice Concepts Theory Ability to implement theory and concepts in working code (MATLAB, C, C++) Basic understanding of how theory is applied Mathematics, derivations, signal processing Need to understand signal and systems at all three levels 12 11 7/31/2014 Course Outline – ECE501 –Signals and Systems -- 2014 • • • • • • • • • • • • • • • Sept 3 - Lecture 0, Introduction/Review of Signal Processing Sept 10 - Lecture 1, Signals and Systems Sept 17 - Lecture 2, Linear Time-Invariant (LTI) Systems Sept 24 - Lecture 3, CT/DT Fourier Series for Periodic Signals Oct 1 Lecture 4, Continuous-Time (CT) Fourier Transform Oct 8 Lecture 5, Discrete-Time (DT) Fourier Transform Oct 15 - Mid-Term Exam Oct 22 - Lecture 6, Time and Frequency Characterization Oct 29 - Lecture 7, Sampling Nov 5 - Lecture 8, Communication Systems (Modulation) Nov 12 - Lecture 9, Laplace Transforms Nov 19 - Lecture 10, z-Transforms Nov 26 - Thanksgiving Break – No Class Dec 3 Lecture 11, Linear Feedback Systems Dec 10 - Final Exam (8am-11 am) (Tentative Date and Time) 13 12 7/31/2014 Summary • Signals and Systems course: – introduce/review signals and systems (basic concepts) – introduce linear, time-invariant (LTI) systems (both discrete-time (DT) and continuous-time (CT) variants) – discuss the concept of Fourier series as a representation of periodic signals – extend the concept of Fourier series to the continuous-time Fourier transform – introduce the concept of the discrete-time Fourier transform – discuss topics in time and frequency characterization of signals and systems – introduce the concept of sampling for conversion from continuous-time to discrete-time signals – show how signal processing concepts (modulation) enable design of modern communication systems – introduce the Laplace transform representation of continuous-time signals and systems – introduce the z-transform representation of discrete-time signals and systems – illustrate the design and stabilization of linear feedback systems 14 13