Fractional Spectral Reconstruction of Signals from Periodic Nonuniformly Subsampling based on a Nyquist Folding Scheme

Author(s):  
Kaili Jiang ◽  
Sujuan Chen ◽  
Jun Zhu ◽  
Jun Wang ◽  
Bin Tang
2020 ◽  
Author(s):  
Christopher Michael Jones ◽  
◽  
Yngve B Johansen ◽  
Artur Kotwicki ◽  
Cameron Rekully ◽  
...  

Designs ◽  
2021 ◽  
Vol 5 (1) ◽  
pp. 11 ◽  
Author(s):  
Filippo Avanzi ◽  
Francesco De Vanna ◽  
Yin Ruan ◽  
Ernesto Benini

This study discusses a general framework to identify the unsteady features of a flow past an oscillating aerofoil in deep dynamic stall conditions. In particular, the work aims at demonstrating the advantages for the design process of the Spectral Proper Orthogonal Decomposition in accurately producing reliable reduced models of CFD systems and comparing this technique with standard snapshot-based models. Reynolds-Averaged Navier-Stokes system of equations, coupled with k−ω SST turbulence model, is used to produce the dataset, the latter consisting of a two-dimensional NACA 0012 aerofoil in the pitching motion. Modal analysis is performed on both velocity and pressure fields showing that, for vectored values, a proper tuning of the filtering process allows for better results compared to snapshot formulations and extract highly correlated coherent flow structures otherwise undetected. Wider filters, in particular, produce enhanced coherence without affecting the typical frequency response of the coupled modes. Conversely, the pressure field decomposition is drastically affected by the windowing properties. In conclusion, the low-order spectral reconstruction of the pressure field allows for an excellent prediction of aerodynamic loads. Moreover, the analysis shows that snapshot-based models better perform on the CFD values during the pitching cycle, while spectral-based methods better fit the loads’ fluctuations.


IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 67709-67717 ◽  
Author(s):  
Shuo Chen ◽  
Lingmin Kong ◽  
Wenbin Xu ◽  
Xiaoyu Cui ◽  
Quan Liu

Sensors ◽  
2018 ◽  
Vol 18 (2) ◽  
pp. 644 ◽  
Author(s):  
Shang Zhang ◽  
Yuhan Dong ◽  
Hongyan Fu ◽  
Shao-Lun Huang ◽  
Lin Zhang

2021 ◽  
Vol 2021 (29) ◽  
pp. 19-24
Author(s):  
Yi-Tun Lin ◽  
Graham D. Finlayson

In Spectral Reconstruction (SR), we recover hyperspectral images from their RGB counterparts. Most of the recent approaches are based on Deep Neural Networks (DNN), where millions of parameters are trained mainly to extract and utilize the contextual features in large image patches as part of the SR process. On the other hand, the leading Sparse Coding method ‘A+’—which is among the strongest point-based baselines against the DNNs—seeks to divide the RGB space into neighborhoods, where locally a simple linear regression (comprised by roughly 102 parameters) suffices for SR. In this paper, we explore how the performance of Sparse Coding can be further advanced. We point out that in the original A+, the sparse dictionary used for neighborhood separations are optimized for the spectral data but used in the projected RGB space. In turn, we demonstrate that if the local linear mapping is trained for each spectral neighborhood instead of RGB neighborhood (and theoretically if we could recover each spectrum based on where it locates in the spectral space), the Sparse Coding algorithm can actually perform much better than the leading DNN method. In effect, our result defines one potential (and very appealing) upper-bound performance of point-based SR.


Author(s):  
Yizhong Wang ◽  
Wenkun Zhang ◽  
Ailong Cai ◽  
Ningning Liang ◽  
Zhe Wang ◽  
...  

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