Recursive Source Coding A Theory for the Practice of Waveform Coding

The spreading of digital technology has resulted in a dramatic increase in the demand for data compression (DC) methods. At the same time, the appearance of highly integrated elements has made more and more com­ plicated algorithms feasible. It is in the fields of speech and image trans­ mission and...

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Bibliographic Details
Main Authors: Gabor, G., Györfi, Z. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1986, 1986
Edition:1st ed. 1986
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Recursive Source Coding  |h Elektronische Ressource  |b A Theory for the Practice of Waveform Coding  |c by G. Gabor, Z. Györfi 
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505 0 |a 1 The Fine-McMillan Recursive Quantizer Model -- 1.1 Source, Channel, Reproduction -- 1.2 The Linear Deltamodulator -- 1.3 The Definition of a Fine-McMillan Recursive Quantizer -- 1.4 The Design Problem -- 1.5 The Simple Quantizer -- 1.6 Theoretical Limits with Given Channel Capacity -- 2 Structural and Design Problems of a Recursive Quantizer -- 2.1 The McMillan Structure Problem -- 2.2 Fine’s Principle of Minimum Search -- 2.3 The Principle of Minimum Search and the Property of Equimemory -- 2.4 Optimality and the EM Property—the McMillan Structure Theorem -- 2.5 Strong-optimality, MS and EM Properties—the Reformulation of the McMillan Structure Theorem -- 2.6 The Proof of the Structure Theorem -- 2.7 Feed-forward Design for the Causal Case -- 2.8 Trellis Coders in Delayed Recursive Quantizers -- 3 Differential Predictive Quantizers -- 3.1 Additive Decoding -- 3.2 Additive Decoding, MS and EM Properties—the Definition of the Differential Predictive Quantizer -- 3.3 A Misunderstanding Concerning the Predictor -- 3.4 Additive Decoding and the Feed-forward Principle -- 4 Design Examples—Speech Compression -- 4.1 The Stationary Model of Speech -- 4.2 The Design of a DPC -- 4.3 The Design of a Fine-McMillan Type RQ -- References -- Appendix 1 -- Appendix 2 -- Appendix 3 
653 |a Coding and Information Theory 
653 |a Coding theory 
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653 |a Computer vision 
653 |a Computer Vision 
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520 |a The spreading of digital technology has resulted in a dramatic increase in the demand for data compression (DC) methods. At the same time, the appearance of highly integrated elements has made more and more com­ plicated algorithms feasible. It is in the fields of speech and image trans­ mission and the transmission and storage of biological signals (e.g., ECG, Body Surface Mapping) where the demand for DC algorithms is greatest. There is, however, a substantial gap between the theory and the practice of DC: an essentially nonconstructive information theoretical attitude and the attractive mathematics of source coding theory are contrasted with a mixture of ad hoc engineering methods. The classical Shannonian infor­ mation theory is fundamentally different from the world of practical pro­ cedures. Theory places great emphasis on block-coding while practice is overwhelmingly dominated by theoretically intractable, mostly differential­ predictive coding (DPC), algorithms. A dialogue between theory and practice has been hindered by two pro­ foundly different conceptions of a data source: practice, mostly because of speech compression considerations, favors non stationary models, while the theory deals mostly with stationary ones