commGSP/commGSP_gft.m
234a68af8299master

commGSP_gft.m
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			function g = commGSP_gft(A, signal, type)
			% Returns Graph Fourier Transform (GFT) of a signal on the graph A
			% INPUT:
			% A - (symmetric) matrix to decompose
			% signal - vector (length equal to size of A) representing graph signal
			% of size number_of_nodes x 1, or a set of signals organized in a matrix
			% of size number_of_nodes x number_of_signals
			% type - string equal to 'laplacian' for Laplacian-based GFT
			% or 'modularity' for modularity-based GFT;
			% if the GFT eigenvector matrix/basis is already available, then
			% instead of a string, type is equal to the eigenvector matrix U
			% OUTPUT
			% g - vector of spectral GFT coefficients having
			% the same length as input signal x

			if strcmp(type,'laplacian') \|\| strcmp(type,'modularity')
			[U, ~] = commGSP_eig_implicit(A, type);
			else
			U=type;
			end
			g=U'*signal;

			end