1 AbstractAn analysis of signal reconstruction possibility using a small set of samples corrupted by noise is considered. False detection and/or misdetection of sparse signal components may occur as a twofold influence of noise: one is a consequence of missing samples, while the other appears from an external source. This analysis allows us to determine a minimal number of available samples req...

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR), we enable the reconstruction of a low-resolution (LR) signal when there are not enough CS samples to recover a HR signal. We propose an approximate message pa...

The empirical mode decomposition (EMD) was recently proposed as a new time-frequency analysis tool for nonstationary and nonlinear signals. Although the EMD is able to find the intrinsic modes of a signal and is completely self-adaptive, it does not have any implication on reconstruction optimality. In some situations, when a specified optimality is desired for signal reconstruction, a more fle...

Signals sparse in a transformation domain can be recovered from a reduced set of randomly positioned samples by using compressive sensing algorithms. Simple reconstruction algorithms are presented in the first part of the paper. The missing samples manifest themselves as a noise in this reconstruction. Once the reconstruction conditions for a sparse signal are met and the reconstruction is achi...

In the present study, a novel signal restoration method from noisy data samples is presented and is termed as “signal split (SSplit)” approach. The new method utilizes Stein unbiased risk estimate estimator to split the signal, the Lipschitz exponents to identify noise elements and a heuristic approach for the signal reconstruction. However, unlike many noise removal techniques, the present met...

We describe measurements, models, and algorithms for several signal reconstruction problems arising in the structural biophysics of so-called spherical viruses.

Preliminary studies of semileptonic II, + decays have been made. The analysis relies on a large sample (z 106) of tagged hadronic II: events. The Monte Carlo study involved specific decay channels, IIt t $e+v, and 0: + K’e+.e, at a center-of-mass energy of 4.03 GeV. Background events due to other IJ$ modes and to Do and LI+ decays are examined. The possibility of signal reconstruction at a cent...

The Tohoku Region Pacific Coast Earthquake and its Tsunami caused serious damage to the pacific coast in northeastern Japan including Iwate prefecture. We suppose it is important to present the serious situation in the disaster areas to gain public understanding and support. In this paper, we propose Reconstruction Watcher which presents visually reconstruction progress to gain public understan...

This is a slightly expanded written version of a plenary lecture given at the 20th IEEE Conference on Decision and Control, December 198 1, San Diego, CA. This talk is intended to help spark discussion among researchers in decision, control and estimation about the status of research in the field and of promising new directions for research. One such direction, model-based signal processing, is...

We develop, apparently for the first time, an automatic criterion to choose when to stop the iteration in anisotropic diffusion signal reconstruction.