Look-Ahead Based Sigma-Delta Modulation

Aiming to expand our existing knowledge of discrete-time 1-bit look-ahead modulation, this volume analyzes potential improvements to digital noise-shaping look-ahead solutions. The results are expressed through the SA-CD lossless data compression algorithm.

The aim of this book is to expand and improve upon the existing knowledge on discrete-time 1-bit look-ahead sigma-delta modulation in general, and to come to a solution for the above mentioned specific issues arising from 1-bit sigma-delta modulation for SA-CD. In order to achieve this objective an analysis is made of the possibilities for improving the performance of digital noise-shaping look-ahead solutions. On the basis of the insights obtained from the analysis, several novel generic 1-bit look-ahead solutions that improve upon the state-of-the-art will be derived and their performance will be evaluated and compared. Finally, all the insights are combined with the knowledge of the SA-CD lossless data compression algorithm to come to a specifically for SA-CD optimized look-ahead design.

Presents a theoretical overview of Analog to Digital, and Digital to Analog Converters Practical applications such as use in the Super Audio CD's are explained Covers a multidiscipline topic, being of interest to Electrical Engineers and Computer Scientists Includes supplementary material: sn.pub/extras

Klappentext
High resolution analog-to-digital conversion and digital-to-analog conversion is often realized with the use of a Sigma-Delta Modulator (SDM). The sigma-delta modulation process, although very non-linear when a 1-bit quantizer is used, is nowadays well understood and can be made to deliver a very high signal conversion quality. An example system that pushes the traditional sigma-delta modulation algorithm to its performance limit is the Super Audio CD (SA-CD) standard, in which a 64 times oversampled 1-bit signal is used to represent audio content with an SNR of up to 120~dB over 20~kHz bandwidth.

Look-Ahead Based Sigma-Delta Modulation presents a number of alternative digital sigma-delta modulation techniques that make use of look-ahead, a process that takes into account the effect of decisions on the future, to realize an even higher conversion quality than possible with traditional sigma-delta modulation.

This book provides the reader with a clear overview of various encoding techniques and demonstrates the improvements in signal conversion quality that can be obtained from their use. Starting from the basic full look-ahead approach that requires several orders of magnitude more computational power than a normal SDM, more efficient structures are derived that are able to realize a far higher signal conversion performance at a fraction of the computational cost. In addition to this, a modulator is derived that is able to generate bitstreams that are optimized for SA-CD usage, i.e. a high signal conversion quality combined with minimal signal entropy.

All the look-ahead algorithms presented in this book are described in pseudocode and ample simulation results are provided to judge the effects on the signal conversion performance.

Inhalt

1. Introduction.- 2. Basics of sigma-delta modulation.- 3. Transient SDM performance.- 4. Noise-shaping quantizer model.- 5. Look-ahead sigma-delta modulation.- 6. Reducing the complexity of LA DD conversion.- 7. Trellis sigma-delta modulation.- 8. Efficient Trellis sigma-delta modulation.- 9. Pruned Tree sigma-delta modulation.- 10. Pruned Tree sigma-delta modulation for SA-CD.- 11. Comparison of look-ahead SDM techniques.- 12. Maximum SNR analysis.- 13. General Conclusions.- Appendix A: FFT calculations - coherent and power averaging.- Appendix B: Descriptions of the used Sigma-Delta Modulators.