# Direction Finding Algorithms with Joint Iterative Subspace Optimization

arXiv: https://arxiv.org/abs/1402.2710 · HTML: https://mlsanity.com/paper/1402.2710/

## Key facts

- Cited by 19 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Feb 2014.

## Built on by (most cited first, 19 of 19)

- [A survey on active noise control techniques -- Part I: Linear systems](https://mlsanity.com/paper/2110.00531/) (2021)
- [Study of List-Based OMP and an Enhanced Model for Direction Finding with Non-Uniform Arrays](https://mlsanity.com/paper/2105.03774/) (2021)
- [Study of Proximal Normalized Subband Adaptive Algorithm for Acoustic Echo Cancellation](https://mlsanity.com/paper/2108.10219/) (2021)
- [Active noise control techniques for nonlinear systems](https://mlsanity.com/paper/2110.09672/) (2021)
- [Study of filtered-x logarithmic recursive least p-power algorithm](https://mlsanity.com/paper/2202.00560/) (2022)
- [Conjugate Gradient Adaptive Learning with Tukey's Biweight M-Estimate](https://mlsanity.com/paper/2203.10205/) (2022)
- [Study of Robust Sparsity-Aware RLS algorithms with Jointly-Optimized Parameters for Impulsive Noise Environments](https://mlsanity.com/paper/2204.08990/) (2022)
- [Sparsity-Aware Robust Normalized Subband Adaptive Filtering algorithms based on Alternating Optimization](https://mlsanity.com/paper/2205.07172/) (2022)
- [Design and Analysis of Robust Resilient Diffusion over Multi-Task Networks Against Byzantine Attacks](https://mlsanity.com/paper/2206.12749/) (2022)
- [Study of General Robust Subband Adaptive Filtering](https://mlsanity.com/paper/2208.08856/) (2022)
- [Study of Robust Adaptive Beamforming with Covariance Matrix Reconstruction Based on Power Spectral Estimation and Uncertainty Region](https://mlsanity.com/paper/2304.10502/) (2023)
- [Efficient Covariance Matrix Reconstruction with Iterative Spatial Spectrum Sampling](https://mlsanity.com/paper/2309.01040/) (2023)
- [Study of Enhanced MISC-Based Sparse Arrays with High uDOFs and Low Mutual Coupling](https://mlsanity.com/paper/2309.09044/) (2023)
- [Study of Robust Direction Finding Based on Joint Sparse Representation](https://mlsanity.com/paper/2405.16765/) (2024)
- [Analysis of Partially-Calibrated Sparse Subarrays for Direction Finding with Extended Degrees of Freedom](https://mlsanity.com/paper/2408.03236/) (2024)
- [Direction of Arrival Estimation with Sparse Subarrays](https://mlsanity.com/paper/2409.00033/) (2024)
- [Design and Analysis of Robust Adaptive Filtering with the Hyperbolic Tangent Exponential Kernel M-Estimator Function for Active Noise Control](https://mlsanity.com/paper/2508.13018/) (2025)
- [Covariance Matrix Construction with Preprocessing-Based Spatial Sampling for Robust Adaptive Beamforming](https://mlsanity.com/paper/2510.17823/) (2025)
- [Direction Finding with Sparse Arrays Based on Variable Window Size Spatial Smoothing](https://mlsanity.com/paper/2512.22024/) (2025)

## Abstract (arXiv)

In this paper, a reduced-rank scheme with joint iterative optimization is presented for direction of arrival estimation. A rank-reduction matrix and an auxiliary reduced-rank parameter vector are jointly optimized to calculate the output power with respect to each scanning angle. Subspace algorithms to estimate the rank-reduction matrix and the auxiliary vector are proposed. Simulations are performed to show that the proposed algorithms achieve an enhanced performance over existing algorithms in the studied scenarios.