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$x(w)=\int_{-T}^{T}1*e^{-iwt}dt=\frac{e^{-iwT}-e^{iwT}}{-jw}=\frac{e^{iwT}-e^{-iwT}}{jw}=\frac{2sin(wT)}{w}$ $= 2T\frac{sin(wT)}{wT}=2Tsinc(wT)$
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Fri, 29 Jan 2021 23:49 GMT