In this paper we prove a new family of inequalities which is intermediate between the classical Sobolev inequalities and the Gross logarithmic Sobolev inequality by the minimization of a well choosen functional and the use of recent uniqueness results for the ground state of the corresponding nonlinear scalar eld equation, which allows us to identify the optimal constants. This result is then a...

This paper presents a lossless video compression system based on a novel Backward Adaptive pixel-based fast Predictive Motion Estimation (BAPME). Unlike the widely used block-matching motion estimation techniques, this scheme predicts the motion on a pixel-by-pixel basis by comparing a group of past observed pixels between two adjacent frames, eliminating the need of transmitting side informati...

This paper presents a fast matching pursuits algorithm. In addition to a fast implementation, the algorithm also allows the ef ic ient use of non-separable dictionary basis functions. The use of non-separable components allows basis functions which provide a better match t o diagonally orientated image features. In order to demonstrate the proposed method, a simple dictionary is developed and u...

In this paper, a new fast error resilient entropy coder (FEREC) for robust image transmission over wireless fading channels is proposed. A slow, frequency non-selective Rayleigh fading channel model is used. The proposed FEREC algorithm is observed to be almost twice as fast as EREC 3] in encoding the data and hence the error resilience capability is also signii-cantly better. Upto 2 dB improve...

This paper presents a fast matching pursuits algorithm. In addition to a fast implementation, the algorithm also allows the ef ic ient use of non-separable dictionary basis functions. The use of non-separable components allows basis functions which provide a better match t o diagonally orientated image features. In order to demonstrate the proposed method, a simple dictionary is developed and u...

In wireless sensor networks (WSNs), each sensor node can estimate the global parameter from the local data in a distributed manner. This paper proposed a robust diffusion estimation algorithm based on a minimum error entropy criterion with a self-adjusting step-size, which are referred to as the diffusion MEE-SAS (DMEE-SAS) algorithm. The DMEE-SAS algorithm has a fast speed of convergence and i...

In this paper we prove a new family of inequalities which is intermediate between the classical Sobolev inequalities and the Gross logarithmic Sobolev inequality by the minimization of a well choosen functional and the use of recent uniqueness results for the ground state of the corresponding nonlinear scalar eld equation, which allows us to identify the optimal constants. This result is then a...