Article history: Received 24 January 2008 Received in revised form 6 May 2008 Available online 20 May 2008 Communicated by C. Scheideler

This paper investigates the joint source-channel coding problem of sending a memoryless source over a memoryless broadcast channel. An inner bound and several outer bounds on the achievable distortion region are derived, which respectively generalize and unify several existing bounds. As a consequence, we also obtain an inner bound and an outer bound for degraded broadcast channel case. When sp...

Asymptotic expressions for the optimal scaling factor and resulting minimum distortion , as a function of codebook size N, are found for xed-rate k-dimensional lattice vector quantization of generalized Gaussian sources with decay parameter 1. These expressions are derived by minimizing upper and lower bounds to distortion. It is shown that the optimal scaling factor a N decreases as (lnN) 1== ...

Consider a multi-resolution source code for describing a stationary source at L resolutions. The description at the rst resolution is given at rate R1 and achieves an expected distortion no greater than D1. The description at the second resolution includes both the rst description and a re ning description of rate R2 and achieves expected distortion no greater than D2, and so on. Recently deriv...

This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Hölder continuity of mappings f : (R, q) → (R, q) where q denotes the spherical metric. The mappings considered are K-quasiconformal (K ≥ 1) and satisfy some normalizations or restrictions. All bounds are explicit and asymptotically sharp as K → 1.

Over the last 20 years, many of the most spectacular results in the field of dynamical systems dealt specifically with interval and circle maps (or perturbations and complex extensions of such maps). Primarily, this is because in the one-dimensional case, much better distortion control can be obtained than for general dynamical systems. However, many of these spectacular results were obtained s...

We derive bounds for optimal rate allocation between source and channel coding for linear channel codes that meet the Gilbert-Varshamov or Tsfasman-Vll adut-Zink bounds. Formulas giving the high resolution vector quantizer distortion of these systems are also derived. In addition, we give bounds on how far below channel capacity the transmission rate should be for a given delay constraint.

The theoretical formulation of the variational bounds on scattering parameters is briefly reviewed. The upper and lower bounds on scattering parameters are realized by the manner in which the distortion of the target during the scattering is treated, in terms of the static and adiabatic pictures. The variational bounds are obtained by gradually improving the trial functions that describe the ta...

In this paper, we present upper bounds for the rate distortion function (RDF) of finite-length data blocks of Gaussian wide sense stationary (WSS) sources and we propose coding strategies to achieve such bounds. In order to obtain those bounds, we previously derive new results on the discrete Fourier transform (DFT) of WSS processes.