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If W g ≫ W, S ≈ [μ − 1]N p = N p N. As we can see, wider window width also means smaller sparsity S. For more accurate analysis, we take a good property of E-splines into account: the higher the order N, the more the energy is centralized to a shorter time domain support [18].
A solution to this problem is found, and then used as an initial solution to a new problem with slightly smaller sparsity weighting.
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The basic idea of compressive sensing is that when for a class of images the majority of elements in vector α corresponding to a particular dictionary are zeros or very small (sparsity), relatively few well-chosen measurements suffice to reconstruct the images in this class [ 21].
At the same time, the size of the low-rank component is assumed to be much smaller than sparsity level, which in turn is much smaller than the signal dimension, L≪S≪d.
It was shown in [12] that c<2 generally does not admit successful AMP recoveries; with the newly utilized BASSAMP algorithm that exploits joint sparsity, smaller c and thus shorter signatures are possible.
Under the assumption that the size of the low-rank component is much smaller than the sparsity level, the proposed iterative approach provides a simple tool for the low-rank component reconstruction, which is stable under non-homogenous corruption of the data.
To deal with sparsity (small number of cases in certain combinations of CHD status and symptoms and signs), we will apply Firth's method to correct for small sample bias [ 20].
Then, the practical sparsity get smaller.
Simulation results show that our optimized results lead to smaller coherence, with higher sparsity and better recovery accuracy observed in the CSR system than the nonoptimized transmit waveform and sensing matrix.
When the neighbourhood size s is fixed, from Figure 9, the smaller value of the sparsity level K 0 will give the greater accuracy of the classification.
The performance of the BOMP method is shown to be better than the performance of the BIRLS method when the block sparsity is small [22].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com