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Abstract: We present several results regarding the properties of a random vector, uniformly distributed over a lattice cell. This random vector is the quantization noise of a lattice quantizer at high resolution, or the noise of a dithered lattice quantizer at all distortion levels. We find that for the optimal lattice quantizers this noise is wide-sense stationary and white. Any desirable noise spectra may be realized by an appropriate linear transformation ("shaping") of a lattice quantizer. As the... (Update)
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BibTeX entry: (Update)
R. Zamir and M. Feder, "On lattice quantization noise," IEEE Trans. Inform. Theory, vol. 42, pp. 1152-1159, July 1996. http://citeseer.ist.psu.edu/zamir96lattice.html More
@inproceedings{ zamir94lattice,
author = "Ram Zamir and Meir Feder",
title = "On Lattice Quantization Noise",
booktitle = "Data Compression Conference",
pages = "380-389",
year = "1994",
url = "citeseer.ist.psu.edu/zamir96lattice.html" }
Citations (may not include all citations):2319 Elements of Information Theory (context) - Cover, Thomas - 1991
534 An algorithm for vector quantizer design (context) - Linde, Buzo et al. - 1980
258 Lattices and Groups (context) - Conway, Sloane - 1988
110 Asymptotically optimal block quantization (context) - Gersho - 1979
110 Rate Distortion Theory: A Mathematical Basis for Data Compre.. (context) - Berger - 1971
44 Trellis coded quantization of memoryless and Gauss-Markov so.. (context) - Marcellin, Fischer - 1990
39 Information and Information Stability of Random Variables an.. (context) - Pinsker - 1964
37 Spectra of quantized signals (context) - Bennett - 1948
21 Asymptotic entropy constrained performance of tesselating an.. (context) - Linder, Zeger - 1994
21 On universal quantization by randomized uniform / lattice qu.. - Zamir, Feder - 1992
11 Kluwer Academic Pub (context) - Gersho, Gray et al. - 1992
10 Asymptotic distribution of the errors in scalar and vector q.. - Lee, Neuhoff
9 A dozen de-Finetti-style results in search for a theory (context) - Diaconis, Freedman - 1987
8 Rate distortion performance in coding band-limited sources b.. - Zamir, Feder - 1995
6 Information rates of pre/post filtered dithered quantizers - Zamir, Feder - 1995
3 Wadsworth and Brooks (context) - Durrett, Examples - 1989
2 Private communications (context) - Poltyrev
2 A matrix form of the Brunn-Minkowski inequality (context) - Zamir, Feder - 1994
1 Covering properties of convolutional codes and associated la.. (context) - Calderbank, Fishburn et al. - 1993
1 Private communications (context) - Pinsker
1 Results on lattice quantization with dithering (context) - Kirac, Vaidyanathan
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