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In this research, the matrix pencil method (MPM) has been compared to the well known root-MUSIC algorithm. The term pencil refers to obtaining the exponent of a sum of complex exponentials. Actually, MPM is a variation of the eigen-structure approach and it uses the input pencil matrix instead of the input covariance matrix. By mapping the noise components to the null space, the signal components can be distinguished exactly. Simulation results show that the MPM has a superior ability of discriminating closely spaced targets from a single target compared to the root-MUSIC algorithm.