This paper is the extension of two-stage vector quantization–(spherical) lattice vector quantization (VQ–(S)LVQ) recently introduced by Pan and Fischer [1]. First, according to high resolution quantization theory, generalized vector quantization–lattice vector quantization (G-VQ–LVQ) is formulated in order to release the constraint of the spherical boundary for the second-stage lattice vector q...

A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this quantization prescription for the torus can be constructed as an induced representation from anti-Wick quantization on its covering space, the plane. When this construction is expressed in the form of a Wiener-regularize...

The effect of sampling and quantization on frequency estimation for a single sinusoid is investigated. Asymptotic Cramér-Rao bounds (CRB) for 1-bit quantization and for non-ideal filters are derived, which are simpler to calculate than the exact CRB while still relatively accurate. It is further investigated how many bits should be used in quantization to avoid the problems of 1-bit quantizatio...

In this paper a generalization of Weyl quantization which maps a dynamical operator in a function space to a dynamical superoperator in an operator space is suggested. Quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables can be derived as a specific case of suggested quantization if dynam...

We introduce a block polar quantization (BPQ) procedure that minimizes a weighted distortion for a set of sinusoids representing one block of a signal. The minimization is done under a resolution constraint for the entire signal block. BPQ outperforms rectangular quantization, strictly polar quantization, and unrestricted polar quantization (UPQ) both when assuming the Cartesian coordinates of ...

Any quantization introduces errors. An important question is how to suppress their visual effect. In this paper we present a new quantization method for the geometry of 3D meshes, which enables aggressive quantization without significant loss of visual quality. Conventionally, quantization is applied directly to the 3-space coordinates. This form of quantization introduces high-frequency errors...

in this paper, we propose a new full-fuzzy video ratecontrol algorithm (rca) for variable bit rate (vbr) videoapplications. the proposed rca provides high qualitycompressed video with a low degree computational complexity.by controlling the quantization parameter (qp) on a picturebasis, it produces vbr video bit streams. the proposed rcahas been implemented on the jm h.264/avc video codec andth...

This report presents some results and findings of our work on very-lowbit-rate video compression systems using vector quantization (VQ). We have identified multiscale segmentation and variable-rate coding as two important concepts whose effective use can lead to superior compression performance. Two VQ algorithms that attempt to use these two aspects are presented: one based on residual vector ...