2019
A comparative investigation on the use of compressive sensing methods in computational ghost imaging
Usually, a large number of patterns are needed in the computational ghost imaging (CGI). In this work, the possibilities to reduce the pattern number by integrating compressive sensing (CS) algorithms into the CGI process are systematically investigated. Based on the different combinations of …
ADMM for ND Line Spectral Estimation Using Grid-free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation
This paper is concerned with estimating unknown multidimensional frequencies from linear compressive measurements. This is accomplished by employing the recently proposed atomic norm minimization framework to recover these frequencies under a sparsity prior without imposing any grid restriction on …
Combining Matrix Design for 2D DoA Estimation with Compressive Antenna Arrays Using Stochastic Gradient Descent
Recently, compressive antenna arrays have been considered for direction of arrival (DoA) estimation with reduced hardware complexity. By utilizing compressive sensing, such arrays employ a linear combining network to combine signals from a larger set of antenna elements in the analog RF domain. In …
Defect Detection From Compressed 3-D Ultrasonic Frequency Measurements
In this paper, we propose a compressed sensing scheme for volumetric synthetic aperture measurements in ultrasonic nondestructive testing. The compression is achieved by limiting the measurement to a subset of the Fourier coefficients of the full measurement data, where we also address the issue of …
Method for the acquisition of impulse responses, e.g. for ultra-wideband systems (pending)
There are disclosed techniques (e.g., apparatus, methods) for estimating an Impulse response (30) of a linear System (4). An apparatus (100) is configured to generate (7) a transmit Signal (23) on the basis of a first sequence. The apparatus (100) is configured to obtain a receive Signal (24) and to …
Packing Bounds for Outer Products with Applications to Compressive Sensing
In order to obtain good reconstruction guarantees for typical compressive sensing scenarios, we translate the search for good compression matrices into a ball packing problem in a suitable projective space. We then derive such reconstruction guarantees for two relevant scenarios, one where the …
Total Focusing Method with Subsampling in Space and Frequency Domain for Ultrasound NDT
In this paper, we present a compressed sensing model for 2D Full Matrix Capture data from a uniform linear array. Data is reconstructed via a matrix-free implementation of the Total Focusing Method (TFM) combined with the Fast Iterative Shrinkage/ Thresholding Algorithm. This results in reduced …