Teaching transforms: a vector approach

• Autores: Lars E. Bengtsson
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 46, Nº. 5, 2015, págs. 752-765
• Idioma: inglés
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• Resumen

  • This article treats the problem of introducing transform theory (Fourier, Laplace, z) to undergraduate students and we suggest a vectorapproach which means that signals (functions of time) should be treated as vectors from the beginning and that transforms are introduced as a scalar product; the transform should be presented as a tool to analyse the signal exactly in the same way as the dot product is used to analyse an ‘arrow’ vector in a Cartesian space. Hence, the transform becomes a tool to find the signal's magnitude in the directions of the basis vectors.