Abstract:
Compressive sensing requires a sensing matrix that is random enough for good signal reconstruction and has desirable properties like orthogonality or circulancy.
First, generate a full orthogonal circulant matrix, then select a few rows. This paper proposes a refined construction of orthogonal circulant sensing matrices that generates a circulant matrix with only a subset of rows orthogonal.
Thus, the generation method is less constrained, yielding better sensing matrices with the desired properties.
Signal reconstruction compares the partial shift-orthogonal sensing matrix to random and learned ones. This pattern-dependent sensing matrix efficiently detects color patterns and edges from color image measurements.
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