the robustness property can be added to dsc system at the expense of reducing performance, i.e., increasing the sum-rate. the aim of designing robust dsc schemes is to trade off between system robustness and compression efficiency. in this paper, after deriving an inner bound on the rate–distortion region for the quadratic gaussian mdc based rdsc system with two encoders, the structure of the r...

We introduce a class TS p(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z) = z+ P∞ n=2 bnz , bn > 0, |z| < 1. We obtain the coefficient inequality, coefficient estimate, distortion theorem, a convolution result, extreme points and integral representation for functions in the class TS p(α).

Numerous voice, still image, audio, and video compression standards have been developed over the last 25 years, and significant advances in the state of the art have been achieved. However, in the more than 50 years since Shannon’s seminal 1959 paper, no rate distortion bounds for voice and video have been forthcoming. In this volume, we present the first rate distortion bounds for voice and vi...

Rendering refraction in volume visualization requires smoothly distributed normals to synthesize good quality visual representations. Such refractive visualizations are more susceptible to noise in the data than visualizations that do not involve refraction. In this paper, we present the first study to investigate convolution and diffusion methods with respect to this problem, highlighting the ...

Direct evaluation of the rate-distortion function has rarely been achieved when it is strictly greater than its Shannon lower bound. In this paper, we consider the rate-distortion function for the distortion measure defined by an ε-insensitive loss function. We first present the Shannon lower bound applicable to any source distribution with finite differential entropy. Then, focusing on the Lap...

Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched examined. With aid fundamental ideas from theory q-calculus operators, we describe new q-operators harmonic Hϱ,χ;qγF(ϖ) in this work. We also define subclass related to Janowski q-analog Le Roy-type Mittag–Leffler functions. Several importa...