Optimal MIMO array for compressive sensing image formation

Abstract

Many studies have addressed compressive sensing (CS) theory in recent years, especially the use of CS in radar 2D and 3D image formation. Much of this research suggests that sparse targets can be perfectly reconstructed according to the CS theory. However, most of these studies did not examine the design of antenna array for CS reconstruction of sparse targets. Therefore, this study investigates the design method of the Multipleinput/multiple-output (MIMO) antenna array for reconstructing sparse targets. Based on CS theory, mutual coherence of the dictionary matrix was selected as the criteria for evaluating the MIMO antenna array. The analytical expression of the criteria was derived from the MIMO echo signal. Due to the complex mathematical expression of the criteria, the genetic algorithm was used to find the optimal MIMO antenna array. Finally, a comparative simulation and a Monte-Carlo experiment were performed to validate the proposed optimal solution.

Compressive-Sensing-Aided MIMO Radar Enabling Multi-Functional and Compact Sensors in Air Scenarios Using Optimized Antenna Arrays

“…Thus, the assumption made previously is confirmed. The relationship between the main lobe width and the mutual coherence has not been investigated so far, because previously published papers ( [19]- [25]) are limited to relatively large array sizes. This inherently prevents the generation of a wide main lobe, influencing the mutual coherence.…”

“…DoA estimation for 2D MIMO arrays was considered in [24], where a sparse Bayesian learning based imaging algorithm was investigated, which addresses the aspect of off-grid targets. In the context of radar imaging, a genetic algorithm was used in [25] to reduce the mutual coherence of a 2D MIMO array. However, to the best of our knowledge, an optimization of 2D MIMO arrays by improving the degree of randomnesswhile additionally considering various restrictions regarding antenna element positioning -has not yet been addressed in the literature.…”

“…However, to the best of our knowledge, an optimization of 2D MIMO arrays by improving the degree of randomnesswhile additionally considering various restrictions regarding antenna element positioning -has not yet been addressed in the literature. Furthermore, in the previously mentioned publications [19]- [25] the investigations are limited to relatively large array sizes, whereas the influence of practicable 2D MIMO array sizes (e.g. for the use in airborne platforms) on CS performance and the resulting mutual coherence has not been addressed.…”