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DT Fourier Transform Properties

   * DT Fourier Transform Multiplication x[n]y[n]\longleftrightarrow \frac{1}{2\pi} \int_{2\pi} X(e^{j\theta})Y(e^{j(\omega-\theta)})d\theta
   * DT Fourier Transform Convolution x[n]*y[n] = X(e^{jw})Y(e^{jw}) \!
   * DT Fourier Transform Time Reversal \ x[-n] \longleftrightarrow X(e^{-j \omega})
   * DT Fourier Transform Duality F(x(t)) = X(w) \longleftrightarrow F(X(t)) = 2\pi x(-w)

Alumni Liaison

Sees the importance of signal filtering in medical imaging

Dhruv Lamba, BSEE2010