The Optimal Lattice Quantizer in Three Dimensions
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Publication:4747155
DOI10.1137/0604005zbMath0509.52010OpenAlexW2059347291MaRDI QIDQ4747155
Publication date: 1983
Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0604005
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Uses Software
Cites Work
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- The Covering Of Space By Spheres
- Asymptotic quantization error of continuous signals and the quantization dimension
- Voronoi regions of lattices, second moments of polytopes, and quantization
- Fast quantizing and decoding and algorithms for lattice quantizers and codes
- Asymptotically optimal block quantization
- Extreme coverings ofn-space by spheres