(New page: '''DT Fourier Transform Properties ''' DT Fourier Transform Time Reversal <math> x[-n] \longleftrightarrow X(e^{-j \omega}) </math> DT Fourier Transform Duality <math> F(x(t)) ...) |
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| + | =DT Fourier Transform Properties= | ||
DT Fourier Transform Time Reversal <math> x[-n] \longleftrightarrow X(e^{-j \omega}) </math> | DT Fourier Transform Time Reversal <math> x[-n] \longleftrightarrow X(e^{-j \omega}) </math> | ||
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DT Fourier Transform Multiplication <math> x[n]y[n]\longleftrightarrow \frac{1}{2\pi} \int_{2\pi} X(e^{j\theta})Y(e^{j(\omega-\theta)})d\theta </math> | DT Fourier Transform Multiplication <math> x[n]y[n]\longleftrightarrow \frac{1}{2\pi} \int_{2\pi} X(e^{j\theta})Y(e^{j(\omega-\theta)})d\theta </math> | ||
DT Fourier Transform Convolution <math> x[n]*y[n] = X(e^{jw})Y(e^{jw}) \! </math> | DT Fourier Transform Convolution <math> x[n]*y[n] = X(e^{jw})Y(e^{jw}) \! </math> | ||
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Latest revision as of 07:16, 14 November 2011
DT Fourier Transform Properties
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) $ 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}) \! $
