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The "water-filling" solution for the quadratic rate-distortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain "test-channel" realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. This solution(More)
In this work we investigate the behavior of the distortion threshold that can be guaranteed in joint source-channel coding, to within a prescribed excess-distortion probability. We show that the gap between this threshold and the optimal average distortion is governed by a constant that we call the joint source-channel dispersion. This constant can be(More)
It furthers the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence. A catalogue record for this publication is available from the British Library Library of Congress Cataloguing in Publication data Zamir, Ram. Lattice coding for signals and networks : a(More)
The combination of source coding with decoder side-information (Wyner-Ziv problem) and channel coding with encoder side-information (Gel'fand-Pinsker problem) can be optimally solved using the separation principle. In this work we show an alternative scheme for the quadratic-Gaussian case, which merges source and channel coding. This scheme achieves the(More)
In this work we investigate the behavior of the minimal rate needed in order to guarantee a given probability that the distortion exceeds a prescribed threshold, at some fixed finite quantization block length. We show that the excess coding rate above the rate-distortion function is inversely proportional (to the first order) to the square root of the block(More)
Analog (uncoded) transmission provides a simple and robust scheme for communicating a Gaussian source over a Gaussian channel under the mean-squared-error (MSE) distortion measure. Unfortunately, its performance is usually inferior to the all-digital, separation-based source-channel coding solution, which requires exact knowledge of the channel at the(More)
The Gaussian parallel relay network problem consists of transmitting a message from a single source node to a single destination node, through a layer of parallel relay nodes. The source is connected to the relays by a Gaussian broadcast channel, while the relays are connected to the destination by a Gaussian multiple access channel. When the channels are(More)
The ldquowater-fillingrdquo solution for the quadratic rate-distortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain ldquotest-channelrdquo realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction.(More)
An efficient sparse antenna array architecture is developed for coherent imaging of sparse but otherwise unknown scenes. In this architecture, the array elements form a periodic nonuniform pattern. Using analysis that explicitly takes into account the presence of noise, we develop an efficient pattern design procedure based on co-arrays, describe an(More)
—We consider streaming over a blockage channel with long feedback delay, as arises in, e.g., real-time satellite communication from a common the move (COTM) terminal. For this problem, we introduce a definition of delay that captures the real-time nature of the problem, which we show grows at least as fast as O(log(k)) for memoryless channels, where k(More)