Abstract
In this paper, we study the joint range and angle estimation problem based in monostatic frequency diverse-array multiple-input multiple-output (FDA-MIMO) radar, and propose a method for range and angle estimation base on compressed unitary parallel factor (PARAFAC). First, the received complex signal matrix is stacked into a third-order complex signal tensor. Then, we can transform the obtained third-order complex signal tensor into a third-order real-valued signal tensor by employing forward–backward and unitary transformation techniques. Next, a smaller third-order real-valued signal tensor is composed by using compressing the third-order real-valued signal tensor. After that, PARAFAC decomposition is applied to obtain the direction matrix. Lastly, the angle and range are estimated by employing the least square (LS) fitting. The estimation error of the proposed method is about 10% lower than that of the traditional PARAFAC method under the low number of snapshots. When the number of snapshots is high, the performance of the two methods is close. Moreover, the computational complexity of the proposed method is nearly 96% less than those of the traditional PARAFAC methods in the case of low snapshots, while the gap is larger in the case of high snapshots. The superiority and effectiveness of the method are proved by complexity analysis and simulation experiments.
Highlights
The number of Monte Carlo in the simulation experiment is set of Q = 500
A joint range and angle estimation method based on compressed unitary parallel factor (PARAFAC) decomposition in monostatic FDA-multiple-input multiple-output (MIMO) radar was proposed
In CUP, a third-order real-valued signal tensor with twice the number of samples is constructed by utilizing a forward–backward technique and unitary transformation technique
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. 2022, 14, 1398 proposed a joint Doppler frequency, range and angle estimation method for FDA-MIMO radar, which uses the principle of extended invariance of reduce complexity. Experimental simulation shows that performance of the proposed method are more excellent than the traditional estimation of signal parameters via rotational invariance technology (ESPRIT) method [22], the traditional PARAFAC method [23], and the Unitary ESPRIT method [24], and is near of the unitary PARAFAC method. That is, it has a higher detection success probability and a lower estimation error. Kronecker product operator the Frobenius norm operator the diagonal matrix composed of the n-th row of A
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