Considering eigenvectors of the normalized Laplacian as the graph harmonics, answer the following:
(a) Plot graph signal f defined in Problem 23(c) for
c = 0.1. Compute and plot the GFT
coefficients by taking eigenvectors of the normalized Laplacian as the graph Fourier basis.
Compare the result with that of eigenvectors of the Laplacian as graph Fourier basis.
(b) Plot the graph signal translated to node 6. (Translation is defined considering normalized
Laplacian as graph Fourier basis.)
This problem is a computer-based exercise. You may use an appropriate software such Matlab
for solving this problem. Some useful code fractions can be found at the support website:
https://complexnetworksbook.github.io
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