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Y. L. Linde, A. Buzo, and R. M. Gray, ``An algorithm for vector quantizer
design,'' IEEE Trans. Commun., vol. COM-28, pp. 84-95, Jan. 1980.
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S. G. Wilson and D. W. Lytle, ``Trellis encoding of continuous-amplitude
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W. A. Pearlman, ``Sliding-block and random source coding with constrained size
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A. Gersho and R. M. Gray, Vector Quantization and Signal Compression.
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H.-C. Tseng and T. R. Fischer, ``Transform and hybrid transform/DPCM coding
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T. R. Fischer and K. Malone, ``Transform coding of speech with pyramid vector
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K. Popat and K. Zeger, ``Robust quantization of memoryless sources using
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J.-P. Adoul, C. Lamblin, and A. Leguyader, ``Base-band speech coding at 2400
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M. V. Eyuboglu and G. D. Forney, ``Lattice and trellis quantization with
lattice- and trellis-bounded codebooks--high-rate theory for memoryless
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T. R. Fischer, ``A pyramid vector quantizer,'' IEEE Trans. Inform.
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T. R. Fischer, ``Geometric source coding and vector quantization,'' IEEE
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D. G. Jeong and J. D. Gibson, ``Uniform and piecewise uniform lattice vector
quantization for memoryless Gaussian and Laplacian sources,'' IEEE
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N. S. Jayant and P. Noll, Digital Coding of Waveforms.
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J. Max, ``Quantizing for minimum distortion,'' IRE Trans. Inform.
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M. W. Marcellin, ``On entropy-constrained trellis coded quantization,'' IEEE Trans. Commun., vol. 42, pp. 14-16, Jan. 1994.
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M. W. Marcellin and T. Fischer, ``Trellis coded quantization of memoryless and
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- 21
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D. Miller, K. Rose, and P. A. Chou, ``Deterministic annealing for trellis
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P. Noll and R. Zelinski, ``Bounds on quantizer performance in the low bit-rate
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J. Pan and T. R. Fischer, ``Two-stage vector quantization--lattice vector
quantization,'' IEEE Trans. Inform. Theory, vol. 41, pp. 155-163,
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M. C. Rost and K. Sayood, ``The root lattices as low bit rate vector
quantizers,'' IEEE Trans. Inform. Theory, vol. 34, pp. 1053-1058,
Sept. 1988.
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D. J. Sakrison, ``A geometric treatment of the source encoding of a Gaussian
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H. S. Wang and N. Moayeri, ``Trellis coded vector quantization,'' IEEE
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S. D. Servetto, ``Lattice quantization with side information,'' in Proceedings of the Data Compression Conference, (Snowbird, Utah),
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F. Chen, Z. Gao, and K. Zeger, ``Lattice vector quantization of generalized
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K. Miller, Multidimensional Gaussian Distributions.
New York, NY: John Wiley, 1964.
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J. Hamkins, Design and Analysis of Spherical Codes.
PhD thesis, University of Illinois at Urbana-Champaign, Sept. 1996.
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J. D. Gibson and K. Sayood, ``Lattice quantization,'' in Adv. Electronics
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A. Gersho, ``Asymptotically optimal block quantization,'' IEEE Trans.
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S. P. Lloyd, ``Least squares quantization in PCM,'' IEEE Trans.
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P. E. Fleischer, ``Sufficient conditions for achieving minimum distortion in a
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A. V. Trushkin, ``Sufficient conditions for uniqueness of a locally optimal
quantizer for a class of convex error weighting functions,'' IEEE
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P. Moo and D. Neuhoff, ``An asymptotic analysis of fixed-rate lattice vector
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W. H. Beyer, CRC Standard Mathematical Tables.
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J.-P. Adoul and M. Barth, ``Nearest neighbor algorithm for spherical codes from
the Leech lattice,'' IEEE Trans. Inform. Theory, vol. 34,
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Y. Be'ery, B. Shahar, and J. Snyders, ``Fast decoding of the Leech lattice,''
IEEE J. Select. Area Commun., vol. 7, pp. 959-966, Aug. 1989.
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R. Laroia and N. Farvardin, ``Trellis-based scalar-vector quantizer for
memoryless sources,'' IEEE Trans. Inform. Theory, vol. 40,
pp. 860-870, May 1994.
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S. G. Wilson and D. W. Lytle, ``Trellis encoding of continuous-amplitude
memoryless sources,'' IEEE Trans. Inform. Theory, vol. IT-28,
pp. 211-226, May 1982.
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S. G. Wilson, ``Magnitude/phase quantization of independent gaussian
variates,'' IEEE Trans. Commun., vol. COM-28, pp. 1924-1929, Nov.
1980.
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A. Vardy and Y. Be'ery, ``Maximum likelihood decoding of the Leech lattice,''
IEEE Trans. Inform. Theory, vol. 39, pp. 1435-1444, July 1993.
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K. T. Malone and T. R. Fischer, ``Contour-gain vector quantization,'' IEEE Trans. Acoust. Speech Sig. Process., vol. 36, pp. 862-870, June
1988.
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R. E. A. C. Paley, ``On orthogonal matrices,'' J. Math. Phys., vol. 12,
pp. 311-320, 1933.
Jon Hamkins
2005-10-28