Exponential Operator for Bearing Estimation

Abstract : In this paper, we present an original spectral technique for estimating the Direction of Arrival (DoA) of narrowband sources impinging on an array of sensors. In this approach, we use the exponential of inter spectral matrix of received data with Gaussian function to annihilate the eigenvalues corresponding to the signal subspace in order to obtain an approximation of the projector into the noise subspace, this mechanism requires the knowledge of the minimum eigenvalue which we compute using the power method. We elaborate this new concept with some tools of quantum formalism and we confirm the accuracy of its theoretical basis by Monte Carlo simulation results comparatively to the standard high resolution techniques.