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Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
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Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
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Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array

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Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array
Journal Article

Efficient tensor model‐Toeplitz matrix iterative reconstruction for angle estimation with nested array

2023
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Overview
This letter proposes an efficient tensor model for Direction of Departure (DOD) and Direction of Arrival (DOA) estimation based on bistatic nested Multiple‐Input Multiple‐Output (MIMO) radar. Tensor offers a robust solution in characterizing multi‐dimensional data structures, ensuring data integrity, and has demonstrated remarkable effectiveness in the realm of multi‐dimensional parameter estimation. However, the complexity of traditional methods for constructing tensors is a major obstacle to practical applications. In response, this research introduces a novel approach that utilizes an iterative two‐dimensional Toeplitz matrix reconstruction method to rapidly derive expanded virtual covariance matrices prior to tensor construction. This streamlines the algorithm and improves efficiency. Numerical simulations have verified the superiority of this algorithm. 1. The proposed approach utilizes Toeplitz matrix‐based quadratic reconstruction to address rank deficiency issues and obtain an equivalent virtual covariance matrix with minimal complexity. 2. Results demonstrate that this approach achieves reduced computational complexity while maintaining high estimation performance.