PROBLEM 3 (25 %0) Part a. Determine the Fourier transform R(eu)of the following sequence 0≤n≤M, M is a positive even integer 0. otherwise R(eu) Part b. Consider the sequence 0<n<M otherwise where M is as defined in Part a. Express w(eu), the Fourier transform of w[ n] in terms of R(eu), the Fourier transform of r[n] above W(e� � PROBLEM 3 (25%) Part a. Determine the Fourier transform R(ej�) of the following sequence: ⎩ 1, 0 � n � M, M is a positive even integer r[n] = 0, otherwise. R(ej�) = Part b. Consider the sequence ⎧ ⎧ ⎨⎨ � 1 2�n 1 − cos , 0 � n � M w[n] = 2 M 0, otherwise, where M is as defined in Part a. Express W(ej�), the Fourier transform of w[n] in terms of R(ej�), the Fourier transform of r[n] above. W(ej�) = 10