FTA

The Fourier-Transform and its Applications (OA) - FTA

CourseThe Fourier-Transform and its Applications (OA)
Course No.FTA
CategoryTypeLanguageTeaching hoursCPSemester
ElectiveLecture with exercisesEnglish2+14ST
Requirements for Participation:

Preparation: Elementary Physics (Bachelor level); Elementary QM

Form of Testing and Examination: Exercise and written test; or oral examination

Length of Course: 1 semester

Aims of the Course: Strengthen insight into how the mathematical principles of Fourier Theory as a common principle affect many areas of physics (optics: diffraction/interference; QM: Heisenberg principle; statistics of noise and drifts; data acquisition: sampling) and other applications (data compression, signal processing).

Contents of the Course:
  • introduction to the principles of Fourier Transform mathematics

  • Delta-function and more general distributions

  • diffraction optics and interferometry

  • uncertainty principle in QM as application of FT

  • theory of noise, drifts and their statistics

  • intro to wavelet analysis and data compression



Recommended Literature: Bracewell: The Fourier Transform and its Applications

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