Quantization

Gray, R. M., & Neuhoff, D. L. (1998). Quantization. IEEE Transactions on Information Theory, 44(6), 2325-2383.

Type

Journal article

Intellectual base

Primary research

Year

1998

Volume

44

Issue

6

Pages

2325-2383

DOI

10.1109/18.720541

DOI registrant

Institute of Electrical and Electronics Engineers

Link

https://pzs.dstu.dp.ua/ComputerGraphics/ic/bibl/Gray_and_Neuhoff__1998.pdf

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Digital Data
  • Gray explains quantization as the mapping of continuous or high-resolution sources into a finite or countable reproduction alphabet.
• Mean square quantization error
  • Mean square quantization error is the distortion \(D=\mathbb E[\lVert X-Q(X)\rVert^2]\), optionally normalized per component; for scalar cells \([t_{i-1},t_i)\) with reconstruction \(q_i\), \(D=\sum_i\int_{t_{i-1}}^{t_i}(x-q_i)^2p(x)\,dx\).
• Signal Quantization
  • Gray and Neuhoff define scalar quantizers with decision cells and reproduction levels and extend the theory to vector and variable-rate forms.

    This sourceThe readable copy bears an IEEE license notice; only limited claim-checking and short paraphrases are used here.

Verification

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