A theoretical survey of multibit quantization is presented, beginning with the classical model of undithered quantization and proceeding to modern statistical models of undithered, subtractively dithered, and nonsubtractively dithered quantizing systems. Properties of the error and output signals for each type of system are examined in relation to the input, using both firstand second-order sta...

When the q-deformed creation and annihilation operators are used in a second quantization procedure, the algebra satisfied by basis vectors (orthogonal complete set) should be also deformed such as a field operator remains invariant under the coaction of the quantum group. In the 1+1 dimensional quantum field theories we deform the algebra of the basis vectors and study the q-deformation in the...

This work explores the edge agreement problem of second-order multi-agent system with dynamic quantization under directed communication. To begin with, by virtue of the directed edge laplacian, we derive a model reduction representation of the closed-loop multi-agent system depended on the spanning tree subgraph. Considering the limitations of the finite bandwidth channels, the quantization eff...

Marine robots communicating wirelessly is an increasingly attractive means for observing and monitoring in the ocean, but acoustic communication remains a major impediment to real-time control. In this paper we address through experiments the capability of acoustics to sustain highly dynamic, multi-agent missions, in particular range-only pursuit in a challenging shallow-water environment. We p...

We review optimal quantization methods for numerically solving nonlinear problems in higher dimension associated with Markov processes. Quantization of a Markov process consists in a spatial discretization on finite grids optimally fitted to the dynamics of the process. Two quantization methods are proposed: the first one, called marginal quantization, relies on an optimal approximation of the ...

For copyright protection of digital image, we present an energy quantization modulation approach for digital image watermarking in this paper. First, we introduce the concept of local energy index of a coefficient block in approximation sub-band of an image. Second, an energy quantization modulation technique is developed to modulate the local energy index of each coefficient block. Moreover, i...

The second quantization of M(atrix) theory is considered. It provides a possible framework to the recent Susskind proposal that U (N) supersymmetic Yang Mills theories for all N might be embedded in a single dynamical system. The second quantization of M(atrix) theory can also be useful for the study of the Lorentz symmetry of the theory and for the consideration of processess with creation and...

The second quantization of M(atrix) theory in the free (Boltzmannian) Fock space is considered. It provides a possible framework to the recent Susskind proposal that U (N) supersymmetic Yang Mills theories for all N might be embedded in a single dynamical system. The second quantization of M(atrix) theory can also be useful for the study of the Lorentz symmetry of the theory and for the conside...

We propose relativistic second quantization of matrix model of D particles in a general framework of nonlocal field theory based on Snyder-Yang’s quantized space-time. Second-quantized nonlocal field is in general noncommutative with quantized space-time, but conjectured to become commutative with light cone time X+. This conjecture enables us to find second-quantized Hamiltonian of D particle ...