Two well known quantization methods are uniform quantization and Max–Lloyd. We present a novel quantization method, based on minimizing the L4−norm of the errors. This method has a performance superior to uniform quantization and Max–Lloyd when applied directly to an image, and is superior to Max–Lloyd when applied to the coefficients of a wavelet transform. We make various tests, we give an in...

This paper studies the problem of robust stabilization for linear uncertain systems via logarithmic quantized feedback. Our work is based on a new method for the analysis of quantized feedback. More specifically, we characterize the quantization error using a simple sector bound. It is shown in our previous work that this method yields the same result on the coarsest quantization density as in ...

In this paper we propose a method for computing JPEG quantization matrices for a given mean square error or PSNR. Then, we employ our method to compute JPEG standard progressive operation mode definition scripts using a quantization approach. Therefore, it is no longer necessary to use a trial and error procedure to obtain a desired PSNR and/or definition script, reducing cost. Firstly, we esta...

In this paper, we propose two fast and efficient methods to generate codebook for Vector Quantization (VQ). The computational complexity is very simple when compared to any one of the existing algorithms for generating codebook for VQ. In the first method, codevectors are selected at regular intervals from the training set. The second method is an improvement over the first one. In the second m...

Rajabiani A1, Aaliepour A2, Tavangar M3, Meysamie AP4 1. Assistant Professor, Department of Pathology, Faculty of medicine, Tehran University of Medical Sciences 2. Resident, Department of Pathology, Faculty of medicine, Tehran University of Medical Sciences 3. Associate Professor, Department of Pathology, Faculty of medicine, Tehran University of Medical Sciences 4. Assistant Professor, Depar...

Multiple description (MD) coding and quantization has received a lot of attention recently, and has been studied extensively and extended to many demanding applications such as speech and video. We propose two multiple description quantization schemes in order to design the codebooks and partitions of side and central quantizers. The applied framework originates in the multiple description quan...

ETRI Journal, Volume 23, Number 1, March 2001 Efficient quantization methods of the line spectrum pairs (LSP) which have good performances, low complexity and memory are proposed. The adaptive quantization range method utilizing the ordering property of LSP parameters is used in a scalar quantizer and a vector-scalar hybrid quantizer. As the maximum quantization range of each LSP parameter is v...

In 1975, one of the present authors 1 showed how to obtain the quantized levels of the nonlinear Schrodinger equation using the action-angle variables (canonical coordinates) of the AKNS scattering data. The symplectic form used to effect the reduction to canonical coordinates was based on the standard Hamiltonian structure for the nonlinear Schrooinger equation. The method used was a nonlinear...