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

DOI

10.1109/18.720541

Link

https://doi.org/10.1109/18.720541

Cited by

2 citations across 2 artifacts.

Domain-specific

• Digital Data
  • Cover and Thomas formalize discrete sources, codes, entropy, and channels. 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 \(q_i\), \(D=\sum_i\int_{t_{i-1}}^{t_i}(x-q_i)^2p(x)\,dx\).

Verification

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Registry ID ref:696f46c13f82 · see in the full table