Lattice and Trellis Coded Quantizations for efficient Coding of Speech

Adoul, J.-P.

doi:10.1007/978-3-642-57745-1_57

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2023

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Cited by 3 publications

(2 citation statements)

References 24 publications

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“…A recent breakthrough proves that the BW lattice E 8 is the optimal 8-dimensional sphere packing [7]. For this reason, they have been applied in a number of applications, including digital communications [2], data compression [8], cryptography [9], quantum error correction [5], [10], and algebraic geometry [11].…”

Section: Introductionmentioning

confidence: 99%

The Voronoi Region of the Barnes–Wall Lattice Λ₁₆

Pook-Kolb

Agrell

Allen

2023

IEEE J. Sel. Areas Inf. Theory

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Section: Introductionmentioning

confidence: 99%

The Voronoi Region of the Barnes–Wall Lattice Λ₁₆

Pook-Kolb

Agrell

Allen

2023

IEEE J. Sel. Areas Inf. Theory

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“…1]. For this reason, they have been applied in a number of applications, including digital communications [2], data compression [6], cryptography [7], quantum computing [8], and algebraic geometry [9].…”

Section: Introductionmentioning

confidence: 99%

The Voronoi Region of the Barnes-Wall Lattice $Λ_{16}$

Pook-Kolb¹,

Agrell²,

Allen³

2023

Preprint

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We give a detailed description of the Voronoi region of the Barnes-Wall lattice Λ16, including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.

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