Real-time analysis of hyperspectral data in MATLAB: theoretical limits of anomaly detection utilizing higher order statistics through simulation

2021 ◽  
Author(s):  
Eric R. Languirand ◽  
Darren K. Emge
Keyword(s):  
Anomaly Detection ◽  
Order Statistics ◽  
Real Time ◽  
Higher Order ◽  
Hyperspectral Data ◽  
Higher Order Statistics ◽  
Time Analysis ◽  
Real Time Analysis

Extending Integrability of Nonlinear Water Wave Equations: Nonlinear Fourier Analysis of Breather Packets and Rogue Waves at Higher Order

2019 ◽  
Author(s):  
Alfred R. Osborne
Keyword(s):  
Real Time ◽  
Theta Function ◽  
Bilinear Form ◽  
Wave Equations ◽  
Higher Order ◽  
Plane Boundary ◽  
Integrable Case ◽  
Time Analysis ◽  
Real Time Analysis ◽  
The One

Abstract I suggest a formulation to give approximate spectral solutions of nonintegrable, nonlinear wave equations in 2+1 dimensions. Nonintegrable systems such as the 2+1 NLS, Dysthe and extended Dysthe equations can be approximately integrated by selecting a nearby theta function formulation. I study the subclass of wave equations that are in the form of nonlinear envelope equations for which all members can be reduced to a particular Hirota bilinear form. To find the approximately integrable formulation associated with a nonintegrable equation, I first study the one and two soliton solutions and subsequently extend these to larger numbers of solitons to obtain the Hirota N-soliton solution (for infinite-plane boundary conditions). Subsequently, I address the one and two periodic solutions from the bilinear form, so that I can develop the associated Riemann theta function solution to a nearby integrable case. I discuss how to obtain the higher order breather packets from the point of view of the theta functions. This work is being developed for real time analysis of shipboard radar analysis of ocean waves. Further applications include real time analysis of lidar and synthetic aperture radar (SAR) data taken by airplanes flying over high sea states.

Real-time analysis of hyperspectral data sets using NRL's ORASIS algorithm

1997 ◽  
Author(s):  
Jeffrey H. Bowles ◽  
John A. Antoniades ◽  
Mark M. Baumback ◽  
John M. Grossmann ◽  
Daniel Haas ◽  
...  
Keyword(s):  
Real Time ◽  
Hyperspectral Data ◽  
Data Sets ◽  
Time Analysis ◽  
Real Time Analysis

Filtering of ECG signals distorted by magnetic field gradients during MRI using non-linear filters and higher-order statistics

2018 ◽  
Vol 63 (4) ◽  
pp. 395-406 ◽  
Author(s):  
Marcus Schmidt ◽  
Johannes W. Krug ◽  
Michael N. Rosenheimer ◽  
Georg Rose
Keyword(s):  
Magnetic Fields ◽  
Order Statistics ◽  
Real Time ◽  
Higher Order ◽  
Higher Order Statistics ◽  
Qrs Detection ◽  
Linear Filters ◽  
Qualitative Comparison ◽  
Ecg Signals ◽  
Mri Scans

Abstract The electrocardiogram (ECG) is the state-of-the-art signal for patient monitoring and gating in cardiovascular magnetic resonance (CMR) imaging applications. However, ECG signals are severely distorted during MRI scans due to the effects of static magnetic fields, radio frequency pulses and fast-switching gradient magnetic fields. Gradient-induced artifacts that cause high frequency peaks in the ECG signal especially hamper a correct and reliable QRS detection. To cope with this problem, a new median-based real-time gradient filter (M1) approach was developed. To improve the filter results, a preprocessing step based on higher-order statistics (M2) was added to this. For the evaluation of the filtering techniques, ECG signals were acquired in a 3T MRI scanner during different MR sequences. A qualitative comparison was made using the mean square error as well as the signal power before and after filtering and the results of the QRS detection. Here, reliable results were achieved (detection error rate [DER] M1: 0.23%, DER M2: 0.74%). It was shown that the two developed techniques allowed a reliable suppression of the gradient artifacts in real time.

An Interactive Minicomputer Program for the Indexing and Simulation of Electron Diffraction Patterns

1976 ◽  
Vol 34 ◽  
pp. 542-543
Author(s):  
R.P. Goehner ◽  
W.T. Hatfield ◽  
Prakash Rao
Keyword(s):  
Electron Diffraction ◽  
Real Time ◽  
Pattern Analysis ◽  
Flow Diagram ◽  
Hard Copy ◽  
Time Analysis ◽  
Real Time Analysis ◽  
Transmission Electron ◽  
One Step ◽  
Diffraction Patterns

Computer programs are now available in various laboratories for the indexing and simulation of transmission electron diffraction patterns. Although these programs address themselves to the solution of various aspects of the indexing and simulation process, the ultimate goal is to perform real time diffraction pattern analysis directly off of the imaging screen of the transmission electron microscope. The program to be described in this paper represents one step prior to real time analysis. It involves the combination of two programs, described in an earlier paper(l), into a single program for use on an interactive basis with a minicomputer. In our case, the minicomputer is an INTERDATA 70 equipped with a Tektronix 4010-1 graphical display terminal and hard copy unit.A simplified flow diagram of the combined program, written in Fortran IV, is shown in Figure 1. It consists of two programs INDEX and TEDP which index and simulate electron diffraction patterns respectively. The user has the option of choosing either the indexing or simulating aspects of the combined program.

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