Low Rate Uniform Scalar Quantization of Memoryless Gaussian Sources
| Autor: | V. Sheinin, Ashish Jagmohan |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Discrete mathematics
Gaussian Scalar (mathematics) ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Data_CODINGANDINFORMATIONTHEORY Function (mathematics) Upper and lower bounds Rate–distortion theory symbols.namesake symbols Gaussian function Applied mathematics Limit (mathematics) Gaussian process Mathematics |
| Zdroj: | ICIP |
| DOI: | 10.1109/icip.2006.312521 |
| Popis: | The low-rate (< 1 bits per sample) operational rate-distortion performance of uniform scalar quantizers for the memoryless Gaussian source is studied. Approximate analytical expressions for the operational rate-distortion function are derived, and the accuracy of the derived function is verified through simulation. It is shown that in the zero-rate limit the derived operational rate-distortion function is first-order optimal with respect to the Shannon lower bound. The derived function is used to study the performance of uniform scalar quantizers for the Gaussian Wyner-Ziv problem. Lastly, the derived low-rate rate-distortion function is used to provide improved low-rate bit allocation for jointly Gaussian vectors. |
| Databáze: | OpenAIRE |
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