**Abstract:** Signals arise in most engineering applications. They contain information about the behavior of physical systems. Systems respond to signals and produce other signals. In this course we will explore how signals can be represented and manipulated, and their effects on systems. We will explore how we can discover basic system properties by exciting a system with various types of signals.

**Content:** Discrete time signals and systems. Fourier- and z-Transforms. Frequency domain characterization of signals and systems. Black-box system identification in time domain and frequency domain. Digital filter design.

**Book: **Schaum’s Outlines: Signals and Systems (Second Edition) by Hwei P. Hsu, ISBN 978-0071634724. Additional handouts will be provided.

Jan 30 |
The results of the programming exercise are available here. |

Jan 3 |
The script, which explores white noise and was mentioned in lecture 8, can be downloadedhere. |

Dec 20 |
The lecture notes of the last lecture on frequency domain system identification have been updated. |

Dec 15 |
The script referred to in the lecture notes on frequency domain system identification is online here. |

Dec 6 |
The script shown in the lecture on System Identification in the time domain can be downloaded here. |

Nov 30 |
The plots shown in the lectures on Filtering can be downloaded here: Finite Impulse Response Filtering, Infinite Impulse Response Filtering. |

Nov 22 |
The grades for the quiz are available here. The quizzes can be viewed on Friday, November 23 at 17:00 – 18:00, in ML 37.1 |

Nov 15 |
The script for calculating the exact discretization and also a comparison to the Euler method can be found here: discretization.m. |

Nov 8 |
Part A of the programming exercise is now online, part B will be made available on December 10. Both exercises are due January 4. |

Nov 8 |
The solution for today’s quiz is online here. |

Nov 7 |
The class notes for all coming lectures will be made available ahead of the lecture on this website in the section ‘Lectures’ below. The notes for this week’s lecture have been added. |

Oct 22 |
A note on exchanging the order of integration and summation, with examples of when this is not allowed, is available here. This relates to the comments made in the lecture of Oct 18, regarding the inverse Fourier transform. |

Oct 18 |
The script for calculating the Fourier spectra, as referred to in today’s lecture, can be found here: CalculateFourierSpectra.m. |

Oct 9 |
After the lecture of October 11, there will be no recitation. The work will be covered in the recitation of October 18. |

Aug 20 |
The book used in the first part of the lecture is ‘Schaum’s Outlines: Signals and Systems (Second Edition)’ by Hwei P. Hsu, ISBN: 978-0071634724. This book will be on sale during the first two lectures (September 27 and October 04) at a price of 25CHF. |

Instructor |
Prof. Raffaello D’Andrea |

Teaching Assistants |
Max Kriegleder, Mark Müller |

Lecture |
Thursday, 13:00 to 15:00, CAB G 61 |

Recitation |
Thursday, 15:00 to 16:00, CAB G 61 |

Office Hours |
The teaching assistants will be available from 16:00 to 17:00 in the lecture hall for questions. If necessary, additional appointments with the teaching assistants can be made via e-mail. |

Teaching language |
Lectures and recitations in English, exam in English. |

Quiz |
November 8, covering lectures 1-6. The quiz will be held in class at regular lecture hours and last 40 minutes. Lecture 7 then follows the quiz. No books, notes, calculators or other aids are allowed. Complicated formulae will be provided. |

Programming Exercise |
Handout on November 8 and December 6, due on January 4. |

Exam |
Written final exam during the examination session, covers all material. One A4 sheet of paper allowed as a written aid. Note that one A4 sheet corresponds to two pages (sheet = Blatt, page = Seite). You may use a computer and printer or any other tools to compile your formulas. |

Grading |
20% quiz, 20% programming exercises, 60% final exam if the grade of the quiz has an improving effect on the final grade, 20% programming exercise, 80% final exam otherwise. |

Repetition |
The final exam is only offered in the session after the course unit. Repetition is only possible after retaking the class, i.e. attending the quiz and submitting the programming exercise. |

# |
Date |
Topic |
Reading |

1 | Sep 27 | Introduction to Signals and Systems | Chapter 1: Sections 1, 2, 4, 5 |

2 | Oct 04 | Discrete Linear Time-Invariant (LTI) Systems | Chapter 2: Sections 1, 6-9 |

3 | Oct 11 | The z-Transform | Chapter 4: Sections 1-6 |

4 | Oct 18 | Fourier Analysis of Discrete Time Signals | Chapter 6: Sections 1-4 |

5 | Oct 25 | Fourier Analysis of Discrete Time Signals | Chapter 6: Sections 5, 6, 8 |

6 | Nov 01 | State Space Descriptions of LTI Systems | Chapter 7: Sections 1-3, 5 |

7 | Nov 08 | Discretization | Lecture 7 |

8 | Nov 15 | Power Spectral Density and White Noise | Lecture 8 |

9 | Nov 22 | Discrete Time Filtering: Finite Impulse Response (FIR) Filters | Lecture 9 |

10 | Nov 29 | Discrete Time Filtering: Infinite Impulse Response (IIR) Filters | Lecture 10 |

11 | Dec 06 | Black Box System Identification | Lecture 11 |

12 | Dec 13 | Black Box System Identification | Lecture 12 |

# |
Week starting |
Problems |

1 | Sep 24 | Book: Problems 1.2, 1.3, 1.5, 1.7, 1.8, 1.11, 1.12, 1.14, 1.16, 1.19, 1.23, 1.34, 1.35, 1.36, 1.39, 1.41 |

2 | Oct 01 | Book: Problems 2.26b, 2.27, 2.28, 2.31, 2.33, 2.34, 2.38, 2.39, 2.41, 2.45 |

3 | Oct 08 | Book: Problems 4.2, 4.4, 4.5, 4.6, 4.10, 4.15, 4.22, 4.30, 4.31, 4.33, 4.34, 4.39 |

4 | Oct 15 | Book: Problems 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.10, 6.11, 6.13, 6.15, 6.16, 6.18, 6.24 |

5 | Oct 22 | Book: Problems 6.33, 6.34, 6.35, 6.36, 6.37, 6.38, 6.39, 6.41, 6.48, 6.49, 6.52, 6.54, 6.56 |

6 | Oct 29 | Book: Problems 7.1, 7.4, 7.7, 7.11, 7.21, 7.26, 7.30, 7.33, 7.34 |

7 | Nov 06 | Book: Problems 7.40, 7.42, 7.44 |

8 | Nov 12 | Problem Set 8 |

9 | Nov 19 | Problem Set 9 |

10 | Nov 26 | Problem Set 10 |

11 | Dec 03 | Problem Set 11 |

12 | Dec 10 | Problem Set 12 |

Part A | Description Files |

Part B | Description Files |

Past quizzes | Quiz 2009 – 1 Quiz 2009 – 2 Quiz 2010 Quiz 2011 |

Past exams | Exam 2009 Exam 2010 Exam 2011 |

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