  Matched Field Processing (MFP) locates the underwater sources by matching the
received data with the replica vectors, which could be regarded as a
generalized beamformer. In this paper, the MFP method is combined with a
recently developed framework -- Graph Signal Processing (GSP) method. Following
the paradigm of GSP, a spatial adjacency matrix is constructed for the
arbitrary distributed sensors based on the Green's function, then the source is
located by utilizing the graph Fourier transform. The simulation results
illustrate that the Graph-based MFP outperforms the the conventional MFP
processors -- the Bartlett processor and the Minimum Variance processor -- for
its good accuracy and robustness.
