  We analyze the singular value decomposition (SVD) and SVD entropy of Cantor
fractals produced by the Kronecker product. Our primary results show that SVD
entropy is a measure of image ``complexity dimension" that is invariant under
the number of Kronecker-product self-iterations (i.e., fractal order). SVD
entropy is therefore similar to the fractal Hausdorff complexity dimension but
suitable for characterizing fractal wave phenomena. Our field-based
normalization (Renyi entropy index = 1) illustrates the uncommon step-shaped
and cluster-patterned distributions of the fractal singular values and their
SVD entropy. As a modal measure of complexity, SVD entropy has uses for a
variety of wireless communication, free-space optical, and remote sensing
applications.
