a. Sketch (no need to derive unless it is helpful to you) the spatial 1-D Fourier transform pairs of the following functions: Sketch (no need to derive unless it is helpful to you) the spatial 1-D Fourier transform pairs of the following functions: i. Dirac delta function f(x) ii. Shifted Dirac delta function f(x) = 8(x) i=+n = - 8(x − x0) - iii. Comb function f(x)= Σ 8(x − ix) i=-n iv. Rectangular function f(x) = sqr(x/W) i=+inf v. Square wave f(x) = Σ sqr((x - ix)/W) i=-inf (hint: For the square wave, use convolution properties)

a. Sketch (no need to derive unless it is helpful to you) the spatial 1-D Fourier transform pairs of the following functions: Sketch (no need to derive unless it is helpful to you) the spatial 1-D Fourier transform pairs of the following functions: i. Dirac delta function f(x) ii. Shifted Dirac delta function f(x) = 8(x) i=+n = - 8(x − x0) - iii. Comb function f(x)= Σ 8(x − ix) i=-n iv. Rectangular function f(x) = sqr(x/W) i=+inf v. Square wave f(x) = Σ sqr((x - ix)/W) i=-inf (hint: For the square wave, use convolution properties)