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Fourier Transform using Transform Pair and Properties

  1. Nov 4, 2013 #1
    1. The problem statement, all variables and given/known data
    Finding the Fourier Transform using Transform Pair and Properties
    x(t) = 2[u(t+1)- t[itex]^{3}[/itex]e[itex]^{6t}[/itex]u(t)]
    2. Relevant equations

    3. The attempt at a solution
    For the first problem, I got
    u(t) [itex]\leftrightarrow[/itex] ∏δ(ω)+[itex]\frac{1}{jω}[/itex]
    F(at-t[itex]_{0}[/itex]) [itex]\leftrightarrow[/itex] [itex]\frac{1}{|a|}[/itex]F([itex]\frac{ω}{a}[/itex])e[itex]^{-jt_{0}(\frac{ω}{a})}[/itex]
    The problem is I don't know what's next and where will I get the t[itex]^{6}[/itex] and e[itex]^{6t}[/itex]. I don't even know what to do next. Please guide me.

    Hopefully when I know already how to do this, I will be able to do other problems by myself.
     
  2. jcsd
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