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Multi-scale topology optimization (MTO) is exploited today in applications that require designs with large surface-to-volume ratio. Further, the advent of additive manufacturing, MTO has gained significant prominence. However, a major drawback it computationally expensive. As an alternate, graded been proposed where design features at smaller scale are variations single microstructure. This lea...

We first give the style spectral decomposition of a special skew circulant matrix C and then get the style decomposition of arbitrary skew circulant matrix by making use of the Kronecker products between the elements of first row in skew circulant and the special skew circulant C. Besides that, we obtain the singular value of skew circulant matrix as well. Finally, we deal with the optimal back...

This study proposes a new spectral decomposition method for source-tract separation. It is based on a new spectral representation called the Zeros of Z-Transform (ZZT), which is an all-zero representation of the z-transform of the signal. We show that separate patterns exist in ZZT representations of speech signals for the glottal flow and the vocal tract contributions. The ZZT-decomposition is...