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Chapter 10 The DFT and the FFT Algorithmand it is used with the nodes where two solid lines terminate on them. The number inside thecircles denote the power of W N , and the minus (−) sign below serves as a reminder that thebracketed term of the second equation involves a subtraction. Using this graph and the aboveequations, compute the frequency component X[ 3]. Verify that this is the same as in Example10.5.x0 [ ]X0 [ ]x1 [ ]x2 [ ]x3 [ ]W 0W 2 −W 3 W 0− W 0− W 2 − W 0W 0W 1− W 0W 2 − W 0x4 [ ]x5 [ ]x6 [ ]x7 [ ]−−−− − −X1 [ ]X5 [ ]X3 [ ]X7 [ ]6. Plot the Fourier transform of the rectangular pulse shown below, using the MATLAB fft function.Then, use the ifft function to verify that the inverse transformation produces the rectangularpulse.ft ()1X4 [ ]X2 [ ]X6 [ ]−1 0 1t7. Plot the Fourier transform of the triangular pulse shown below using the MATLAB fft function.Then, use the ifft function to verify that the inverse transformation produces the rectangularpulse.ft ()1−1 0 1t10−32Signals and Systems with MATLAB ® Computing and Simulink ® Modeling, Fourth EditionCopyright © Orchard Publications