ECE-S 302 – Transform Methods and Filtering, Fall 2009

Tuesday and Thursday, 2:00pm-3:20pm. CAT 76.

Fridays, 12:00pm-12:50pm. Main 301.

Prof. John MacLaren Walsh. Office: Bossone 203. Telephone: (215) 895-2360. Email: jwalsh@ece.drexel.edu

Office Hours: Wednesday 10AM-noon. Other times available by email appointment.

Zhongchuan Zhang. Office: Bossone 324. Email: zz57@drexel.edu.

Office Hours: Friday 11AM-1pm.

Charles L. Phillips, John M. Parr, Eve A. Riskin, Signals, Systems, and Transforms, 4th Ed. Prentice Hall, 2007.

- Signals & Systems, 2nd Ed. A. V. Oppenheim and A. S. Willsky, Prentice Hall, 1997.
- Digital Signal Processing, 4th Ed. J. G. Proakis and D. G. Manolakis, Prentice Hall, 2007.

This course has a website: http://www.ece.drexel.edu/walsh/eces302/eces302.html. You will need to check it periodically throughout the semester for information concerning reading assignments, homework assignments, exam information, and projects.

This is an introductory course to signals and systems with specific attention to techniques for their modeling and analysis. Continuous-time signals and systems, discrete-time signals and systems, linear time-invariant systems, convolution integrals and sums, Fourier Series, Fourier, Laplace and Z-transforms, and system functions will be studied.

This course covers an incredible amount of material. The most important thing you should do to excel in it is to attend the lectures and take notes, as the lectures will best indicate the selection of the most important concepts and topics. The course has a significant computational/calculus component, and these aspects will be emphasized and practiced during recitation. For this reason, attendance in the recitation is mandatory.

There will be graded homework assignments, recitation quizzes, a midterm and a cumulative final exam. These will count towards the final grade as follows: homework (15%), recitation quizzes (20%), midterm exam (30%), final exam (35%). Because we will go over solutions in recitation, late homework can not be accepted. If you wish to dispute the grading of a homework/project/exam, you must attach to the homework/project/exam a piece of paper outlining your complaint and return it to the instructor within 2 business days after the homework/project/exam is returned. Any disputation of grading which does not follow these guidelines will not be accepted, and may lead to a reduction in your grade.

- Week 1: Continuous Time Signals & Systems. Linear Time Invariant Systems.
- Read: Chapter 1, Chapter 2.1-2.7, & Chapter 3.1-3.4.
- Homework 1: due January 8 at the beginning of recitation. Do problems 2.1a, 2.2b, 2.10, 2.12, 2.20, 2.27, 2.28a, 3.1b, 3.7, 3.24, 3.26.
- January 5, 2010 Lecture 1T Continuous Time Signals and Systems. Some Important Signals (Complex Exponentials, Unit Step, Unit Impulse). Some important types of systems (Causal, Stable, Linear, Time-Invariant).
- January 7, 2010 Lecture 1R Properties of Linear Time Invariant CT Systems. Impulse Response. Convolution.
- January 8, 2010 Recitation 1

- Week 2: Linear Constant Coefficient Differential Equations. Fourier Series.
- Read: Chapter 3.5-3.7 & Chapter 4.1-4.6.
- Homework 2: due January 15 at the beginning of recitation. Do problems 3.27, 3.28, 3.31, 3.36, 4.4, 4.5, 4.10a, 4.10b, 4.13, 4.24a, 4.24b, 4.27.
- January 12, 2010 Lecture 2T Linear Constant Coefficient Differential Equations.
- January 14, 2010 Lecture 2R Representation of periodic signals using Fourier series.
- January 15, 2010 Recitation 2

- Week 3: Continuous Time Fourier Transform. Frequency Response of LTI Systems.
- Read: Chapter 5.1-5.5.
- Homework 3: due January 22, 2010 at the beginning of recitation. follow this link.
- January 19, 2010 Lecture 3T Continuous Time Fourier Transform.
- January 21, 2010 Lecture 3R Frequency Response of LTI systems.
- January 22, 2010 Recitation 3

- Week 4: Laplace Transform. Transfer Function Analysis.
- Read: Chapter 7.
- Homework 4: due January 29, 2010 at the beginning of recitation. follow this link.
- January 26, 2010 Lecture 4T Laplace Transform.
- January 28, 2010 Lecture 4R Transfer Function Analysis.
- January 29, 2010 Recitation 4

- Week 5: Midterm examination.
- February 2, 2010 Lecture 5T Exam Review.
- February 4, 2010 Midterm Examination (In Class).
- February 5, 2010 Recitation 5 Work through exam solutions.

- Week 6: Discrete time Signals & Systems. Linear Time Invariant DT Systems.
- Read: Chapter 9. Chapter 10.1-10.3.
- Homework 6: due February 12, 2010 at the beginning of recitation.
- February 9, 2010 Lecture 6T Discrete time Signals & Systems. Some important signals. Some important types of discrete time systems.
- February 11, 2010 Lecture 6R Linear Time Invariant DT Systems. Impulse Response. Convolution.
- February 12, 2010 Recitation 6

- Week 7: Linear Constant Coefficient Difference Equations. Z-transform.
- Read: Chapter 10.4-10.7. Chapter 11.1-11.5.
- Homework 7: due February 19, 2010 at the beginning of recitation. Do problems 11.23a, 11.27, 11.29.
- February 16, 2010 Lecture 7T Linear Constant Coefficient Difference equations.
- February 18, 2010 Lecture 7R Z-Transform.
- February 19, 2010 Recitation 7

- Week 8:
- Read: Chapter 11.6-11.7. Chapter 12.1-12.2.
- Homework 8: due February 26, 2010 at the beginning of recitation. Do problems 12.1b, 12.12.
- February 23, 2010 Lecture 8T Transfer functions for DT LTI systems.
- February 25, 2010 Lecture 8R The discrete time Fourier transform (DTFT).
- February 26, 2010 Recitation 8

- Week 9:
- Read: Chapter 12.3-12.4.
- Homework 9: due March 5, 2010 at the beginning of recitation. Do problems 12.11, 12.20, 12.24a-b, 12.25
- March 2, 2010 Lecture 9T Frequency Response of DT LTI systems.
- March 4, 2010 Lecture 9R Sampling Continuous Time Signals to get Discrete time Signals – Relationship between CTFT and DTFT. Nyquist Sampling Theorem.
- March 5, 2010 Recitation 9

- Week 10:
- Read: Your course notes. Review the whole book.
- Homework 10: due March 12, 2010 at the beginning of recitation.
- March 9, 2010 Lecture 10T Discrete Fourier Series representation of period DT signals. Discrete Fourier Transform. (DFT)
- March 11, 2010 Lecture 10R Course Review. Relationship between covered transforms.
- March 12, 2010 Recitation 10

- Final Exam: Wednesday, March 17, 2010. 13:00-15:00. Location: CAT 76.