Precoding for transmission over channels with interference known at the transmitter is reviewed. In contrast to what is usually discussed in literature, precoding employing higher-dimensional lattice quantization for generating the transmit signal is assessed. It is shown that thereby the gap between low-complexity schemes using scalar modulo reductions and theoretical asymptotic results assumi...

We consistently quantize a class of relativistic non-local field equations characterized by a non-local kinetic term in the lagrangian. We solve the classical non-local equations of motion for a scalar field and evaluate the on-shell hamiltonian. The quantization is realized by imposing Heisenberg’s equation which leads to the commutator algebra obeyed by the Fourier components of the field. We...

We consider the quantization of the midi-superspace associated with a class of spacetimes with toroidal isometries, but without the compact spatial hypersurfaces of the well-known Gowdy models. By a symmetry reduction, the phase space for the system at the classical level can be identified with that of a free massless scalar field on a fixed background spacetime, thereby providing a simple rout...

In recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. We consider the quantum dynamics of a real massless scalar field coupled to gravity in this framework. A Hamiltonian operator for the scalar field can be well defined in the coupled diffeomorphism invariant Hilbert space, which is both ...

OPTIMIZATION WITH APPLICATIONS TO FAST CODEBOOK SEARCH FOR SVQ1 Youngjun Yoo Antonio Ortega Kannan Ramchandran Signal and Image Processing Institute University of Southern California, Los Angeles, CA 90089 Beckman Institute University of Illinois, Urbana, IL 61801 ABSTRACT A key part of any e cient source coder involves the optimal allocation of bit rate among a discrete set of competing quanti...

Recently, several wavelet transform based image coding techniques are reported in literature. Though these schemes yield very low bit rates, they suffer from the drawback of computational complexity. There is always a need for simple, fast and easy to implement image coding techniques that yield good subjective quality at low bitrates. To obtain good data compression, the wavelet transform coef...

Canonical quantization of gravitational systems is obstructed by the problem time. Due to diffeomorphism symmetry Hamiltonian vanishes: dynamics with respect a background time parameter appears "frozen." Two strategies towards such are identification clock degree freedom before (deparametrization), and on kinematical Hilbert space which subject constraints (Dirac quantization). The usual canoni...

A special class of nonlinear systems, i.e. expanding piecewise affine discrete-time scalar systems with limited data rate, is used to investigate the role of topological entropy and date rate in a practical stability problem. This special class of nonlinear system as an abstract model is an extension of discrete-time unstable scalar systems, a well-known model for quantized feedback design. For...

We discuss the quantization in minisuperspace for generalized fourth-order teleparallel cosmological theory known as fT, B. Specifically we focus on case where is linear torsion scalar, that consideration are able to write field equations with use of a scalar different from tensor theories, but same dynamical constraints theories. description first time Wheeler-DeWitt equation. With similarity ...

Natural images can be viewed as combinations of smooth regions, textures, and geometry. Wavelet-based image coders, such as the space-frequency quantization (SFQ) algorithm, provide reasonably efficient representations for smooth regions (using zerotrees, for example) and textures (using scalar quantization) but do not properly exploit the geometric regularity imposed on wavelet coefficients by...