A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel’s Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance. We show that two quantized metric spaces are completely isometric if and only if their quantized Gromov-Hausdorff distance is zero. We establish a completeness theorem. As appli...

This work explores the edge agreement problem of second-order nonlinear multiagent system under quantized measurements. Under the edge agreement framework, we introduce an important concept about the essential edge Laplacian and also obtain a reduced model of the edge agreement dynamics based on the spanning tree subgraph. The quantized edge agreement problem of second-order nonlinear multi-age...

In recently proposed electricity markets, price-based competitive behaviours of power suppliers (i.e., generators), energy service providers and large users (i.e., consumers) have been formulated using various auction algorithms (see Post et al., 1995; Wolfram, 1998; Dekrajangpetch and Shebl, 2000; Nicolaisen et al., 2001; Swider and Weber, 2007). In this paper, quantized Progressive Second Pri...

This paper addresses target tracking in wireless sensor networks where the nonlinear observed system is assumed to progress according to a probabilistic state space model. Thus, we propose to improve the use of the quantized variational filtering by jointly selecting the optimal candidate sensor that participates in target localization and its best communication path to the cluster head. In the...

This work explores the edge agreement problem of second-order nonlinear multiagent system under quantized measurements. Under the edge agreement framework, we introduce an important concept about the essential edge Laplacian and also obtain a reduced model of the edge agreement dynamics based on the spanning tree subgraph. The quantized edge agreement problem of second-order nonlinear multi-age...

In this article, we consider optimal controller synthesis of a quantized-feedback linear-quadratic-Gaussian (QF-LQG) system, where the measurements are to be quantized before being transmitted controller. The system is presented with several choices quantizers, along cost operating each quantizer. objective jointly select quantizers and that would maintain an balance between control performance...

-Orthogonal variable spreading factor (OVSF) codes in CDMA networks are designed to handle quantized data rates. Handling non-quantized data rates in such networks leads to code capacity wastage if traditional single code assignment is used. Although, the use of multiple codes reduce this wastage capacity but the use of large number of fixed rake combiners per call increase cost and complexity ...

The problem of state dimension reduction and quantizer design under communication constraints is discussed for state estimation in quantized linear systems. Subject to the limited signal power, number and bandwidth of the parallel channels, a differential pulse code modulation (DPCM)-like structure is adopted to generate the quantized innovations as the transmitted signals, and the multi-level ...

Microscopic current fluctuations are inseparable from conductance. We give an integral account of both quantized conductance and nonequilibrium thermal noise in one-dimensional ballistic wires. Our high-current noise theory opens a very different window on such systems. Central to the role of nonequilibrium ballistic noise is its direct and robust dependence on the statistics of carriers. For, ...

The design of complex FIR filters with quantized coefficients according to a discrete mean squared error criterion in the frequency domain is revisited. In the first approach the coefficients are quantized step-by-step by recursively solving a system of linear equations. The second approach is a generalised form of the first one: The mean squared error is repeatedly minimized considering a grow...