We consider the design of asymmetric multiple description lattice quantizers that cover the entire spectrum of the distortion profile, ranging from symmetric or balanced to successively refinable. We present a solution to a labeling problem, which is an important part of the construction, along with a general design procedure. This procedure is illustrated using the Z2 lattice. The asymptotic p...

In this paper, we propose a practical approach to minimizing embedding impact in steganography based on syndrome coding and trellis-coded quantization and contrast its performance with bounds derived from appropriate rate-distortion bounds. We assume that each cover element can be assigned a positive scalar expressing the impact of making an embedding change at that element (single-letter disto...

This work studies the relationship between the energy allocated for transmitting a pair of correlated Gaussian sources over a two-user Gaussian broadcast channel with noiseless channel output feedback (GBCF) and the resulting distortion at the receivers. Our goal is to characterize the minimum transmission energy required for broadcasting a pair of source samples, such that each source can be r...

Remote estimation with an energy harvesting sensor with a limited data and energy buffer is considered. The sensor node observes an unknown Gaussian field and communicates its observations to a remote fusion center using the energy it harvested. The fusion center employs minimum mean-square error (MMSE) estimation to reconstruct the unknown field. The distortion minimization problem under the o...

We derive bounds for optimal rate allocation between source and channel coding for linear channel codes that meet the Gilbert-Varshamov or Tsfasman-Vlădut-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 bo...

In this paper, we introduce a new class of p-valent harmonic functions defined by an integral operator. Coefficient inequalities, distortion bounds for the functions belonging to this class are obtained. The invariance of the class Hp(n, α) under convolution, convex linear combination and also under generalized Bernardi-Libera Livingston integral operator are discussed. 2000 Mathematics Subject...

The main purpose of this paper is to introduce a generalization of modified Salagean operator for harmonic univalent functions. We define a new subclass of complex-valued harmonic univalent functions by using this operator ,and we investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points and convex combination for the above class of harmonic univalent functi...

A well known inequality due to Shannon, upper / lower bounds the rate distortion function of a real source by the rate distortion function of the Gaussian source with the same variance / entropy. We extend these bounds to multiple descriptions, a problem for which a general \single letter" solution is not known. We show that the set D X (R 1 ; R 2) of achievable marginal (d 1 ; d 2) and central...

The Johnson-Lindenstrauss Lemma shows that any n points in Euclidean space (with distances measured by the `2 norm) may be mapped down to O((log n)/ε) dimensions such that no pairwise distance is distorted by more than a (1+ε) factor. Determining whether such dimension reduction is possible in `1 has been an intriguing open question. We show strong lower bounds for general dimension reduction i...

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45