ELI2300 Dynamic Systems Course description

Knowledge of linear dynamic systems;is important in many applications, including electronics, signal processing, communications, biomedical engineering, robotics and control systems. The;course deals with analysis of;linear;dynamic systems;in the time domain and the frequency domain. The course also is an introduction to modeling of systems as differential equations and solving them by application of the Laplace transform. The systems are;analyzed;by their transfer function and frequency response. The frequency response also reveals the filter characteristics of the system and how it;affects;the frequency content of a signal.;

Builds on ELPE1300 Electric Circuits, MEK1400 Physics, MEK1000 Mathematics 1000;and MEK2000 Mathematics 2000 should be taken in parallel.

No requirements over and above the admission requirements.

The course describe the analysis and processing of signals in the frequency domain and analysis of systems for signal processing. Images are two-dimensional signals. The course also include the acquisition of image data, reconstruction of images and basic image processing of images for medical diagnostics.

No requirements over and above the admission requirements.

After finishing this course the student should have the following outcome:

Knowledge:

Understand the connection between the impulse response and frequency response

Understand that images are 2D signals and can be analysed accordingly

Understand the connection between resolution, impulse response, point spread function and frequency response.

Know how to describe wave propagation, reflection, refraction and attenuation of waves

Understand how an ultrasound image is formed and how the pulses are transmitted and recorded.

Understand how x-rays are generated and how an X-ray image is formed.

Understand how tomographic data are recorded and how CT-images are reconstructed.

Understand the physical principals of magnetic resonance and how images are formed.

Skills

Can describe and analyse signals with the use of the Fourier transform.

Be able to frequency analyse signals and design;optimal processing

Can digitize signals by sampling and AD-conversion.

Can explain the difference between diagnostic and technical image quality.

Understand how images are reconstructed fro measured data.

Can use an ultrasound scanner and chose optimal settings.

General competence:

Be able to process a measured signal to;optimize information content.

Be able to evaluate technical quality of an image in order to optimize diagnostic quality

Lectures and exercises including use of MATLAB

Mandatory deliveries:

4 exercises

1 ultrasound lab

1 diagnostic group work

Each task should take about 5 hours of work

Individual written exam 3 hours.

The result of the exam can be appealed.

In the event of a resit or rescheduled exam, an oral examination may be used instead. In case an oral exam is used, the examination result cannot be appealed.

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