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Besides small column correlation, ETFs exhibit row orthogonality, a property known as tightness.
1stcolumn, Contrast map; 2nd column, Correlation map; 3rd, Energy map; 4th, Entropy map; 5th, IDM map.
Compared to existing algorithms that produce incoherent frames, that is, frames exhibiting small maximum column correlation, the proposed frames not only exhibit small column correlation but the degree of correlation between different pairs of columns is similar.
Small column correlation as well as tightness are important when designing sensing matrices for compressed sensing (CS) [11, 12].
ETFs exhibit equal column correlation, which is also the smallest possible [6]; thus, they are maximally incoherent equiangular frames.
Since the condition number of a matrix increases as the column correlation increases, we next look at the correlation between the columns of.
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Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling properties.
Thus, we focus on the effects of the pulse on the column correlations within and.
The deviation from this ideal is a measure of the tendency of some letter pairs to occur more frequently than others and of the Playfair's row-and-column correlation of symbols in the ciphertext the essential structure exploited by a cryptanalyst in solving Playfair ciphers.
Next columns: Correlation | R| between V1 vectors describing major intra-group variation (+/- orientation of V1 vectors is arbitrary).
Next columns: Correlation (below the diagonal R = inner product and above the diagonal angle = arccosine of | R|) of vectors of changes due to muscular dystrophy in females (Dystro F) and males (Dystro M), sexual dimorphism in B10 mice (Sex B10) and dystrophic mice (sex mdx), and plastic response to food consistency in B6 mice (HF-SF B6).
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