Efficient ℓ _q regularisation algorithm with range–azimuth decoupled for SAR imaging

Abstract

The synthetic aperture radar (SAR) imaging methods based on compressive sensing endure great computational complexity since they have to deal with a large measurement matrix when processing the raw data. An efficient ℓq regularisation algorithm for SAR imaging is proposed, which uses a decoupling operator constructed by means of chirp scaling. It can reduce the computational complexity from the square order to the linear logarithm order compared with the conventional ℓq regularisation‐based imaging algorithm while preserving the equivalent imaging quality. The proposed algorithm is efficient in the sense that it allows reconstruction of the sparse scenes with the sub‐sampling data.

Phase Error Correction for Approximated Observation-Based Compressed Sensing Radar Imaging

“…Referring to [9,10], the approximated observation operators will be obtained by calculating the inverse of matched filtering (MF)-based algorithm. The Omega-K algorithm, which is a type of MF-based algorithm, can be used to achieve the stepped-frequency SAR imaging [11].…”

“…In [9,10], the approximated observation operators were proposed, which reduce the computational complexity and memory cost dramatically, and thus can be applied in high-dimensional cases efficiently. The approximated observation-based method proposed in [9] was called “range-azimuth decoupled method” in [10].…”

“…The approximated observation-based method proposed in [9] was called “range-azimuth decoupled method” in [10]. …”

Isar Imaging Based on L1 L0 Norms Homotopy 2d Block Sparse Signal Recovery Algorithm

“…By utilizing the sparse distribution of a signal, sparse signal recovery algorithm has the property of super-resolution and has been used in ISAR/SAR imaging [3][4][5][6][7]. In ISAR imaging, wide band signal processing can easily be implemented.…”

A study of BP-camp algorithm for SAR imaging

“…It makes these SRAs not suitable to reconstruct large-scale observed scenes. To solve this problem, several efficient approximated observation methods have been proposed, such as range-Doppler and chirp-scaling operators [7,8]. Since both of them are deduced from the FFT-based imaging technology, their validity is limited by observation models of the radar and motion modes of the platform.…”