1-Find the Fourier-transform (FT), for the following signals: (a) x1(n) = -8(n + 1) + 8(n – 1). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -6(n)+8(n – 2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3(n) = 8(n+1)+5+ 8(n – 1). As this is an even function, show that the FT is a real function of frequency.

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