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Frequency AnalysisLaajuus (3 cr)

Code: ELA18GY15

Credits

3 op

Objective

After passing the course, the student is expected to understand how a signal is sampled, represented (in the time and frequency plane) and how to interpret and use a frequency spectrum.

Content

Different types of signals
Periodic functions and signals
Fourier series and representation of periodic signals
Sampling and the sampling theorem
Fourier transform and FFT algorithm
Frequency analysis and interpretation of FFT spectrum
Signal analysis in matlab

Qualifications

No prerequisites

Assessment criteria, satisfactory (1)

Knows the characteristics of the frequency spectrum for a periodic signal
Knows the characteristics of the frequency spectrum for an aperiodic signal
Can interpret the results of a frequency analysis

Assessment criteria, good (3)

Can use Fourier Series conversion tables to determine the frequency spectrum of some typical signals.
Understands, on a fundamental level, the relationship between the rate of change of the signal and the frequency spectrum of the signal.
Can use a frequency analyzer.

Assessment criteria, excellent (5)

Master the integral technique to determine the fourier coefficients for periodic signals.
Master the transform technique to determine the frequency spectra of aperiodic signals.
Can use a frequency analyzer and is also familiar with the use of Matlab as a tool for frequency analysis.

Materials

Material on Moodle and web-based material.

Enrollment

01.12.2022 - 15.01.2023

Timing

01.01.2023 - 26.02.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology and Seafaring

Campus

Vasa, Wolffskavägen 33

Teaching languages
  • Svenska
Degree programmes
  • Degree Programme in Electrical Engineering and Automation
Teachers
  • Ray Pörn
Scheduling groups
  • ELA21-A (Size: 30. Open UAS: 0.)
  • ELA21-E (Size: 30. Open UAS: 0.)
  • ELA21-K (Size: 30. Open UAS: 0.)
  • ELA21-I (Size: 30. Open UAS: 0.)
Groups
  • ELA21D-V
    Ingenjör (YH), el- och automationsteknik, 2021, dagstudier
Small groups
  • ELA21-A
  • ELA21-E
  • ELA21-K
  • ELA21-I

Objective

After passing the course, the student is expected to understand how a signal is sampled, represented (in the time and frequency plane) and how to interpret and use a frequency spectrum.

Content

Different types of signals
Periodic functions and signals
Fourier series and representation of periodic signals
Sampling and the sampling theorem
Fourier transform and FFT algorithm
Frequency analysis and interpretation of FFT spectrum
Signal analysis in matlab

Location and time

11.1-.14.3.2021

Materials

Lecture notes
Web-based material

Teaching methods

Lectures
Exercises
Self studies

Completion alternatives

Exam and assignments

Student workload

Altogether 81 hours, of which 36 hours as classroom education.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Knows the characteristics of the frequency spectrum for a periodic signal
Knows the characteristics of the frequency spectrum for an aperiodic signal
Can interpret the results of a frequency analysis

Assessment criteria, good (3)

Can use Fourier Series conversion tables to determine the frequency spectrum of some typical signals.
Understands, on a fundamental level, the relationship between the rate of change of the signal and the frequency spectrum of the signal.
Can use a frequency analyzer.

Assessment criteria, excellent (5)

Master the integral technique to determine the fourier coefficients for periodic signals.
Master the transform technique to determine the frequency spectra of aperiodic signals.
Can use a frequency analyzer and is also familiar with the use of Matlab as a tool for frequency analysis.

Assessment methods and criteria

Examination is based on an individual exam (30 points) and assignments (20 points).
At least 12 points in the exam and a total of 20 points is required to pass the course.

Assessment criteria, fail (0)

Less than 12 points in the exam or less than 20 points in total.

Assessment criteria, satisfactory (1-2)

At least 12 points in the exam and 20-31 points in total.

Assessment criteria, good (3-4)

At least 12 points in the exam and 32-43 points in total.

Assessment criteria, excellent (5)

At least 12 points in the exam and at least 44 points in total.

Qualifications

No prerequisites