Embedded Polar Quantization

Embedded polar quantization can be useful for progressive transmission of circularly symmetric data, e.g., for fine-grain scalable coding of parametric audio. Sets of constrained-resolution embedded quantizers are built recursively by successive refinement processes, that are detailed for strict pol...

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Bibliographic Details
Published in:IEEE signal processing letters 2007-10, Vol.14 (10), p.657-660
Main Authors: Ravelli, E., Daudet, L.
Format: Article
Language:English
Subjects:
Acoustics
Algorithms
Approximation
Approximation algorithms
Audio coding
Bandwidth
Binary codes
Binary trees
Costs
Counters
Embedded quantization
Engineering Sciences
Equations
Gaussian
Image coding
Mathematical analysis
Minimization methods
Optimization
Quantization
quantizer design
scalable audio coding
Signal processing
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Summary:Embedded polar quantization can be useful for progressive transmission of circularly symmetric data, e.g., for fine-grain scalable coding of parametric audio. Sets of constrained-resolution embedded quantizers are built recursively by successive refinement processes, that are detailed for strict polar quantization and unrestricted polar quantization. The quadratic error minimization problem is solved using equations similar to those of Max, and the refinement algorithm can, in the unrestricted case, be simplified using a high-rate approximation. For Gaussian data, comparisons with reference non-embedded quantizers show that the embedding property comes at an often negligible cost in terms of rate-distortion performance.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2007.896379