On General Lattice Quantization Noise

2019/06/04 by Tal Gariby, Gariby, Tal, Uri Erez +1
Computer Science · Mathematics · #Advanced Data Compression Techniques #FOS: Computer and information sciences #Image and Signal Denoising Methods #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1906.01680

Extended version of a paper published at ISIT 2008

arxiv created 2019/06/04 · openalex publication_date 2019/06/04 · arxiv updated 2019/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of constructing lattices such that their quantization noise approaches a desired distribution is studied. It is shown that asymptotically is the dimension, lattice quantization noise can approach a broad family of distribution functions with independent and identically distributed components.

Related

• Vector Quantization with Error Uniformly Distributed over an Arbitrary Set
• The Quantization Dimension of Distributions
• Rejection-Sampled Universal Quantization for Smaller Quantization Errors
• The General Quantization Problem for Distributions with Regular Support
• Better Lattice Quantizers Constructed from Complex Integers