Rate of convergence results are established for vector quantization. Convergence rates are given for a n increasing vector dimension a n d / o r a n increasing training set size. I n particular, the following results are shown for memoryless realvalued sources with bounded support a t transmission rate R: (1) If a vector quantizer with fixed dimension k is designed to minimize the empirical mea...

The MPEG–4 video coding standard has recently been enriched with Fine Granularity Scalability (FGS) a new coding technique expressly designed for video streaming. With FGS coding the video stream can be flexibly truncated at very fine granularity to adapt to the available network resources. In this report we provide a framework for the evaluation of the streaming of FGS-encoded video. The frame...

AbsCmct-This correspondence discusses a new method for designing the prototype filters necessary to implement M-band pseudo QMF banks. This method does not rely on the traditional nonlinear optimization used in past work but rather optimizes a single parameter on a convex error surface, consistently delivering the best equiripple filter possible while minimizing the overlapped passband distortion.

Given two-dimensional Riemannian manifolds $$\mathcal {M},\mathcal {N}$$ , we prove a lower bound on the distortion of embeddings {M}\rightarrow \mathcal in terms areas’ discrepancy $$V_{\mathcal {N}}/V_{\mathcal {M}}$$ for certain class functionals. For {M}} \ge 1/4$$ homotheties, provided they exist, are unique energy minimizing maps attaining bound, while \le there non-homothetic minimize...

Normal pressure modifications and tentative high-pressure phases of the nitridosilicates MSiN2 with M = Be, Mg, or Ca have been thoroughly studied by density functional methods. At ambient pressure, BeSiN2 and MgSiN2 exhibit an ordered wurtzite variant derived from idealized filled β-cristobalite by a C1-type distortion. At ambient pressure, the structure of CaSiN2 can also be derived from idea...

A series of four new analogue phases Ca2M2X (M = Pd, Pt and X = Al, Ge) were prepared by direct combination of the respective elements in stoichiometric mixtures at high temperature in order to analyze the impact of valence electron count (vec) and electronegativity differences (Δχ) on the structure selection and stability. Their crystal structures, as determined from single-crystal X-ray diffr...