Geometric source coding and vector quantization

Fischer T.R.

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Geometric source coding and vector quantization

机译：几何源编码和矢量量化

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A geometric formulation is presented for source coding and vector quantizer design. Motivated by the asymptotic equipartition principle, the authors consider two broad classes of source codes and vector quantizers: elliptical codes and quantizers based on the Gaussian density function, and pyramid codes and quantizers based on the Laplacian density function. Elliptical and weighted pyramid vector quantizers are developed by selecting codewords as points in a lattice that lie on (or near) a specified ellipse or pyramid. The combination of geometric structure and lattice basis allows simple encoding and decoding algorithms.

机译：提出了用于源代码编码和矢量量化器设计的几何公式。基于渐近均分原理，作者考虑了两大类源代码和矢量量化器：基于高斯密度函数的椭圆代码和量化器，以及基于拉普拉斯密度函数的金字塔代码和量化器。椭圆和加权金字塔矢量量化器是通过选择码字作为位于指定椭圆或金字塔上（或附近）的点阵中的点来开发的。几何结构和晶格基础的组合允许简单的编码和解码算法。

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《IEEE Transactions on Information Theory》 |1989年第1期|P.137-145|共9页
作者
Fischer T.R.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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机译：调制格向量量化：如何使量化指数调制成为有效的可变速率源编码器
2. Low-complexity source coding using Gaussian mixture models, lattice vector quantization, and recursive coding with application to speech spectrum quantization [J] . Subramaniam A.D., Gardner W.R., Rao B.D. IEEE transactions on audio, speech and language processing . 2006,第2期

机译：使用高斯混合模型，晶格矢量量化和递归编码的低复杂度源编码，并将其应用于语音频谱量化
3. Image coding using differential vector quantization image coding using differential vector quantization [J] . Fowler J.E. Jr., Carbonara M.R. IEEE Transactions on Circuits and Systems for Video Technology . 1993,第5期

机译：使用差分矢量量化的图像编码使用差分矢量量化的图像编码
4. Trellis-coded residual vector quantization: its geometrical advantages and application to image coding [C] . Khan, M.A.U., Smith, . 2000

机译：网格编码残差矢量量化：其几何优势及其在图像编码中的应用
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机译：具有矢量量化的源和通道编码。
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8. A constrained joint source/channel coder design and vector quantization of nonstationary sources [R] . Sayood, Khalid, Chen, Y. C., Nori, S., 1993

机译：受限制的联合源/信道编码器设计和非平稳源的矢量量化

Geometric source coding and vector quantization

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