# Spectral Processing of Signals

A schedule can be found here.

Course Level | Study Period |
---|---|

Advanced | 1 |

## Educational programs:

Program | Course Code | Points | Application Code |
---|---|---|---|

Engineering physics | 1RT605 | 5hp | 11807 |

## Course structure:

Contents | Hours/Assignments | Instructors |
---|---|---|

Lectures | 8x2h | Peter Stoica |

Computer-lab sessions | 4x2h | Mojtaba Soltanalian |

Homeworks | 4 | Mojtaba Soltanalian |

For information about the location and time of the lectures and labs, please visit here.

## Goal:

To provide the student with the knowledge necessary to think in the "frequency domain" and to introduce the state-of-the-art methods and algorithms for computer-aided spectral analysis of signals with applications in communications, signal analysis, radar systems, emitter location, signal recognition, and others. More information is available on this page.

Click to download a popular description of the course in ps or pdf format.

## Prerequisites:

Linear algebra, Fourier analysis, Discrete-time signals and systems.

## Contents:

- Basic definitions and the spectral estimation problem.
- Periodogram and correlogram methods.
- Improved periodogram-based methods.
- Parametric methods for rational spectra.
- Parametric methods for line spectra.
- Filter-bank methods.

The course syllabus is available here. The course slides are available here (or locally in tar.gz-compressed format or in pdf format).

In lecture 7 the instructors will present several applications of spectral processing of signals. Similarly, the students have the possibility to get 25 credit points if they present short talks of approximately 20 minutes about some application of spectral processing of signals, either at their choice or by selecting one from the list below (NB: some of these papers might require you to be on the Uppsala University computer network in order to download them):

- Use of Spectral Analysis in Defense Against DoS Attacks
- Spectral Analysis of Calcium Oscillations (The code and some more stuff can be found here)
- Application of model-based spectral analysis to wind-profiler radar observations
- Is Spectral Processing Important for Future WSR-88D Radar?
- High Resolution Analysis of Impact Sounds and Forces
- Winds under the Rain Forest Canopy: The Aerodynamic Environment of Gliding Tree Frogs
- A dynamical analysis of tennis: Concepts and data
- Frequency Spectrum of the Intracardiac and Body Surface ECG during Ventricular Fibrillation - a Computer Model Study
- Heart-Rate Variability and Event-Related ECG in Virtual Environments
- A Spectral Analysis of the Frequency of Supermarket Visits
- Spectral analysis in ecology
- Comparison of subspace-based methods with AR parametric methods in epileptic seizure detection
- Spectral analysis of clock noise: a primer
- Quantitative measurement of speech sound distortions with the aid of minimum variance spectral estimation method for dentistry use

## Homework assignments:

Homework | Exercise | Deadline | Additional instructions |
---|---|---|---|

Periodogram methods | C2.22 | Sept. 23 | Here |

Rational parametric methods | C3.20 | Sept. 30 | Here |

Rational parametric methods for line spectra | C3.18 | Oct. 7 | Here |

Parametric methods for line spectra | C4.14 | Oct. 14 | Here |

The solutions should be put in the postbox marked *Spectral proc. signals IN* on floor 2 in house 2, and they will be returned via the adjacent OUT-box (box no:s 40 and 46).

For some general advice on the presentation etc of the homework assignments, please check this page.

Since the examination is based on the homeworks, discussing the solutions to the homework assignments with your colleagues or anybody else is **strictly forbidden**. Note that in grading the homework solutions we will put emphasis on your interpretations of the results. Also, note that the **deadlines are strict**! This means that a homework which is handed in late may receive **no points** at all.

## Computer-Labs:

Lab | Exercise | Instructions |
---|---|---|

Periodogram methods | C2.19, C2.20 | Lab1 |

Parametric methods for rational spectra | C3.17 | Lab2 |

Parametric methods for line spectra | C4.12 | Lab3 |

Filter bank methods | C5.13 | Lab4 |

The computer-labs are mandatory. If for some reason you cannot attend a specific session, please contact the person responsible for the lab well in advance, or as soon as possible. Make sure that you come to the labs prepared (see (Syllabus_gen.pdf|here) for descriptions of the different lab sessions).

You can check the locations of the computer labs here.

**IMPORTANT:** For access to the PC-labs at the department, an account at UpUnet-S (the university computer network for students) is required. * When logging in password C should be used! Make sure that you have this password!* Information about UpUnet-S can be found at http://www.student.uu.se/upunets/.

From the computer labs at the IT-department you can access matlab scripts for all the labs (so you don't have to do any programming yourself). Those lab-files can be found in two ways. If you have a `G:` drive mounted when you log into the system you find the files under `G:\Program\Systemteknik\Spektralanalys\`. If you don't have `G:` mounted you can either mount it yourself (using "Map Network Drive") or you can find the files directly under `"My Network Places"-"Entire Network"-"Microsoft Windows Network"-"It-Pclab"\Medusa\Program\Systemteknik\Spektralanalys`.

## Examination:

The students are required to pass all four labs. The exam consists of solving the four homework assignments. Each homework assignment gives a maximum of 25 points. The points required for the different grades are as follows.

For Master of Science students:

Points | Grade |
---|---|

0-40 | Fail |

41-65 | 3 |

66-85 | 4 |

86-100 | 5 |

For PhD students:

Points | Grade |
---|---|

0-60 | Fail |

61-100 | Pass |

During the last lecture, up to 4 students may choose to present some applications of spectral analysis. Each presentation will last 20 minutes (including discussion) and its topic can be selected by the student or suggested by us. For each presentation a maximum of 25 points can be awarded.

## Literature:

P. Stoica and R. Moses, Spectral Analysis of Signals, Prentice-Hall, NJ, USA, 2005. Errata. The book is available for download here :Book