Sparse Approximation of Computational Time Reversal Imaging
نویسنده
چکیده
Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. Here, we discuss a sparse approximation method for computational time-reversal imaging. The method is formulated entirely in the frequency domain, and besides imaging it can also be used for denoising, and to determine the magnitude of the scattering coefficients in the presence of moderate noise levels. PACS: 02.30.Zz Inverse problems 43.60.+d Acoustic signal processing 43.60.Pt Signal processing techniques for acoustic inverse problems 43.60.Tj Wave front reconstruction, acoustic time-reversal
منابع مشابه
Maximum Likelihood Estimation of Point Scatterers for Computational Time-reversal Imaging∗
We present a statistical framework for the fixed-frequency computational timereversal imaging problem assuming point scatterers in a known background medium. Our statistical measurement models are based on the physical models of the multistatic response matrix, the distorted wave Born approximation and Foldy-Lax multiple scattering models. We develop maximum likelihood (ML) estimators of the lo...
متن کاملAn Improved Time-Reversal-Based Target Localization for Through-Wall Microwave Imaging
Recently, time reversal (TR) method, due to its high functionality in heterogeneous media has been widely employed in microwave imaging (MI) applications. One of the applications turning into a great interest is through-wall microwave imaging (TWMI). In this paper, TR method is applied to detect and localize a target obscured by a brick wall using a numerically generated data. Regarding this, i...
متن کاملComputational time-reversal imaging with a small number of random and noisy measurements
Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. The current methods for computational time reversal imaging are based on the null subspace projection operator, obtained through the singular value decomposition of the frequency response matrix. Here, we discuss the image recovery problem from a small number of random and...
متن کاملFast Reconstruction of SAR Images with Phase Error Using Sparse Representation
In the past years, a number of algorithms have been introduced for synthesis aperture radar (SAR) imaging. However, they all suffer from the same problem: The data size to process is considerably large. In recent years, compressive sensing and sparse representation of the signal in SAR has gained a significant research interest. This method offers the advantage of reducing the sampling rate, bu...
متن کاملFast damage imaging using the time-reversal technique in the frequency–wavenumber domain
The time-reversal technique has been successfully used in structural health monitoring (SHM) for quantitative imaging of damage. However, the technique is very time-consuming when it is implemented in the time domain. In this paper, we study the technique in the frequency–wavenumber (f–k) domain for fast real-time imaging of multiple damage sites in plates using scattered flexural plate waves. ...
متن کامل