@article{3a18c283af5b42d0be939ffab70da588,
title = "Achieving the Gaussian rate-distortion function by prediction",
abstract = "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. The predictive test channel has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector-quantized differential pulse-code modulation (DPCM), and a duality relationship with decision-feedback equalization (DFE) for intersymbol interference (ISI) channels.",
keywords = "Decision feedback, Differential pulse-code modulation (DPCM), Directed-information, Entropy coded dithered quantization (ECDQ), Equalization, Minimum mean-square error (MMSE) estimation, Pre/post-filtering, Shannon lower bound, Test channel, Water-filling",
author = "Ram Zamir and Yuval Kochman and Uri Erez",
note = "Funding Information: Manuscript received July 27, 2006; revised December 19, 2007. The work of R. Zamir and Y. Kochman was supported in part by the Israel Science Foundation under Grant ISF 1259/07. The work of U. Erez was supported in part by the Israel Science Foundation under Grant ISF 1234/06. The material in this correspondence was presented in part at IEEE International Symposium on Information Theory, Seattle, WA, July 2006.",
year = "2008",
month = jul,
doi = "10.1109/TIT.2008.924683",
language = "אנגלית",
volume = "54",
pages = "3354--3364",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "7",
}