# HF1011 Signals, Systems and Transforms 8.0 credits

### Offering and execution

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## Course information

### Content and learning outcomes

#### Course contents *

• Differential equations and difference equations
• Fourier series, the Fouriertransform, the Laplacetransform and the Z transform
• State space models and transfer functions in the time and frequency domain
• Fundamental properties of linear systems in the time and frequency domain
• Mathematical models of physical systems and signals
• Sampling, discretisation and the alias effect
• Modeling and simulation with MATLAB / Simulink

#### Intended learning outcomes *

After completing this course, students should demonstrate competency in the following skills:

• Define and interpret the fundamental concepts of systems, signals and models
• Set up mathematical models of signals and systems
• Describe and analyse continuos time discrete time signals and systems in the time- and frequency domain
• Understand and use the concepts of stability and performance
• Understand the concepts of sampling, discretisation and alias

#### Course Disposition

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### Literature and preparations

#### Specific prerequisites *

Calculus in one variable and linear algebra (HF1008) or corresponding

#### Recommended prerequisites

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#### Equipment

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### Examination and completion

A, B, C, D, E, FX, F

#### Examination *

• LAB1 - Laboratory, 2.0 credits, Grading scale: P, F
• TEN1 - Examination, 6.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

#### Opportunity to complete the requirements via supplementary examination

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#### Opportunity to raise an approved grade via renewed examination

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### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web HF1011

#### Offered by

CBH/Biomedical Engineering and Health Systems

Technology

First cycle