Syllabus for Signals and Transforms

Signaler och transformer

A revised version of the syllabus is available.

Syllabus

  • 10 credits
  • Course code: 1TE746
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Technology G2F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2019-03-05
  • Established by: The Faculty Board of Science and Technology
  • Applies from: week 27, 2019
  • Entry requirements: 60 credits within Science and Technology, including Imperative and Object-Oriented Programming Methodology, Single Variable Calculus as well as Linear Algebra and Geometry. Numerical Methods and Simulations as well as Digital Technology and Electronics should have been attended.
  • Responsible department: Department of Electrical Engineering

Learning outcomes

On completion of the course the student shall be able to:

  • explain the following transform definitions and characteristics: Laplace transform, z-transform, Fourier transform,
  • apply transform rules to calculate transforms of simple functions and use tables to calculate inverse transforms,
  • account for basic analysis of signal processing systems using transforms,
  • account for basic theory of linear, time-invariant systems and their characteristics, such as linearity, time invariability, stability and causality,
  • analyse and synthesize simple analog systems,
  • explain basic principles for sampling time-continuous signals including the sampling criterion and signal reconstruction,
  • analyse and synthesize simple digital filters,
  • use transform methods within any of the application areas of the educational programs and in this context implement and present the results of a smaller project.

Content

Basic theory and characteristics of Fourier series, Fourier, Laplace and Z transform of discrete and continuous signals and systems: linearity, delay, attenuation and scaling, behavior during derivation and integration. Convolution. Start and final value theorem. Applications for differential and difference equations.
Discrete and continuous linear time-invariant systems: causality and time invariance. Stability condistions.
Ohms and Kirchhoff's laws in a complex form and the concept of impedance. Operational Amplifier. Passive and active analogue filters and the terms transfer function, poles, zeroes, magnitude surfaces, cut-off frequency and Bode diagams.
The sampling theorem. Analysis and synthesis of analogue and digital filters. Examples of applications.
A project aimed at deepening the understanding of the properties of transforms and their use in relevant applications.

Instruction

Lectures, lessons, exercises. Laboratory work may be part of the special project. Assignments during the course as instructed at the start of the course.

Assessment

Written tests combined with a complementary written exam (6 credits), oral and written presentation of project (2 credits), assignments (2 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Syllabus Revisions

Reading list

Reading list

Applies from: week 26, 2019

Some titles may be available electronically through the University library.

  • Lathi, Bhagawandas Pannalal Linear systems and signals

    2. ed.: New York: Oxford Univ. press, cop. 2005

    Find in the library

  • Mandal, Mrinal Kr.; Asif, Amir Continuous and discrete time signals and systems

    Cambridge, UK: Cambridge University Press, 2007.

    Find in the library