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The Undersampled Discrete Gabor Transform - Signal Processing, IEEE Transactions on

Conventional studies on discrete Gabor transforms have generally been confined to the cases of critical sampling and oversampling in which the Gabor families span the whole signal space. In this paper, we investigate undersampled discrete Gabor transforms. For an undersampled Gabor triple (g; a; b), i.e., a b>N, we show that the associated generalized dual Gabor window (GDGW) function is the sa...

Theoretical foundations of transform coding - IEEE Signal Processing Magazine

Divide and conquer. This principle is central to many endeavors, ranging from children managing inconsistent parents to colonial powers controlling native peoples. In engineering and computational science it means breaking a big problem into smaller problems that can be more easily understood and solved. Putting the pieces back together gives a modular design, which is advantageous for implemen...

Generalized Karhunen-Loeve Transform - IEEE Signal Processing Letters

We present a novel generic tool for data compression and filtering: the generalized Karhunen–Loeve (GKL) transform. The GKL transform minimizes a distance between any given reference and a transformation of some given data where the transform has a predetermined maximum possible rank. The GKL transform is also a generalization of the relative Karhunen–Loeve (RKL) transform by Yamashita and Ogaw...

How the Next President Can Build a Foundation for a Healthy Future: Improving Children's Lives.

In a tumultuous and unpredictable election year, Americans selected Donald Trump as our 45th president. Mr Trump’s approach to policymaking is still unknown, and his positions on certain issues do not follow the typical partisan patterns within American politics. However, Mr Trump has expressed support for family-oriented policies, including paid family leave and child care subsidies. His admin...