An approximate maximum entropy solution for bearing estimation of coherent sources

A method for finding an approximate solution of the maximum entropy (ME) method for bearing estimation is presented. It is especially suitable for the coherent source problem. This solution shows that the ME spectrum is an all-pole spectrum and the coefficients of its denominator polynomial can be found from the estimation error for the signals. Since no spatial smoothing is required, it is possible to find a solution for two closely spaced sources with a three-element array, based on single snapshot data. Depending on how the signal is estimated, it is possible to find a superresolution spectrum with the discrete Fourier transform (DFT) only.<
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