Course Notes, January 28, 2009

ECE438, Spring 2009


Properties of L.T. (Continuous Time)

  • Scaling and Shifting
    • $ x(\frac{t-t_0}{a}) \Rightarrow |a|*X(af)*e^{-j2\pi ft_0} $
  • Modulation
    • $ x(t)e^{j2\pi f_0t} \Rightarrow x(f*f_0) $
  • Reciprocity (Duality)
    • $ X(t) \Rightarrow X(-f) $
  • Parsevals Relation

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