Abstract
The performance of the angle estimation algorithm based on the two-order or higher order cumulants in the impact noise background will decline sharply. Therefore, it is necessary to study the new algorithm to estimate target angle in the impact noise background. In order to solve the angle estimation problem of coherent sources in the impulse noise background, a conjugate rotation invariant subspace algorithm based on reduced order fractional lower order covariance matrix is proposed. Use the reduced dimension lower order fraction covariance matrix to reduce the impulse noise influence. And according to the conjugate rotation invariant subspace, the coherent source is decohered. The Monte-Carlo experiments show that the proposed algorithm has the advantages of high estimation probability and low root mean square error in the case of low signal-to-noise ratio, compared with the existing FLOM-MUSIC algorithm and FLOM-Unitary ESPRIT algorithm.
Highlights
The noise encountered in the practical application of Multiple-Input Multiple-Output (MIMO) radar often has certain impact characteristics, such as cosmic noise, atmospheric noise, and meteorological noise
Because the α stable distribution does not have two-order square or higher, this means that the performance of the angle estimation algorithm based on the two-order or higher order cumulants in the impact noise background will decline sharply
Tsakalides [4,5,6] and Liu [7] estimate the direction of arrival using Multiple Signal Classification (MUSIC) algorithm based on covariance and fractional lower order moment respectively, but all of them need to search spectral peak, and the amount of operation and storage is very large
Summary
The noise encountered in the practical application of Multiple-Input Multiple-Output (MIMO) radar often has certain impact characteristics, such as cosmic noise, atmospheric noise, and meteorological noise. Because the α stable distribution does not have two-order square or higher, this means that the performance of the angle estimation algorithm based on the two-order or higher order cumulants in the impact noise background will decline sharply. Lv Zejun [8] and He Jin [9] estimate the arrival angle based on covariance in the impact noise environment, but the above methods need to estimate the appropriate fractional lower order parameters. Based on the above research, we combine reduced dimension conjugate covariance (RCC) with fraction lower order matrix (FLOM) and propose a RCC-FLOM algorithm for monostatic MIMO radar. Notation: (⋅)T and (⋅)H denote transpose and conjugatetranspose operators; ⊗ denotes the Kronecker product; E[⋅] denotes the expected value; (⋅)∗ denotes the conjugate operator; ∑(⋅) denotes the sum operator
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