Abstract
In chapter ten, the Pruned Tree sigma-delta modulation algorithm for Super Audio CD (SA-CD) is presented. The algorithm has a better compatibility with Super Audio CD, because it generates bitstreams that result in a high lossless data compression gain. This is achieved by adding a cost function to the look-ahead filter that measures the predictability of the output signal. This addition results in an output bitstream that is of a high signal quality, but that is also very predictable, such that the amount of required disc storage space after lossless data compression reduces. This reduction of the required storage space is of great importance, since it solves potential playback duration issues. The addition of the prediction cost function has only a minimal impact on the SNR, while the distortion and the noise-modulation performance of the converter are strongly reduced, resulting in the ideal sigma-delta converter for high-end audio applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
A sine wave with a peak amplitude of 50% of the theoretical maximum has a level of 0 dB SACD, see annex D.2 of the Scarlet book. Normalized to a feed-back value of ±1.0 this reflects to an amplitude of 0.5.
References
R. Gray, T. Stockham Jr., Dithered quantizers. IEEE Transactions on Information Theory 39(3), 805–812 (1993)
E. Janssen, E. Knapen, D. Reefman, F. Bruekers, Lossless compression of one-bit audio, in Acoustics, Speech, and Signal Processing (ICASSP2004) (2004). May 17–41, Montreal. Invited paper
E. Janssen, D. Reefman, Generating bit-streams with higher compression gains, U.S. Patent 7,218,263 B2, filed October 8, 2004, issued May 15, 2007
E. Janssen, D. Reefman, DSD compression for recent ultra high quality 1-bit coders, in Proceedings of the AES 118th Convention (2005). Preprint 6470, May 28–31, Barcelona
E. Knapen, D. Reefman, E. Janssen, F. Bruekers, Lossless compression of one-bit audio. Journal of the Audio Engineering Society 52(3), 190–199 (2004). Invited paper
S.P. Lipshitz, R.A. Wannamaker, J. Vanderkooy, Dithered noise shapers and recursive digital filters. Journal of the Audio Engineering Society 52(11), 1124–1142 (2004)
A.J. Magrath, Algorithms and architectures for high resolution sigma-delta converters, PhD thesis, University of London, 1996
A. Magrath, M. Sandler, Efficient dithering of sigma-delta modulators with adaptive bit flipping. Electronics Letters 31(11), 846–847 (1995)
A. Magrath, M. Sandler, Non-linear deterministic dithering of sigma-delta modulators, in IEE Colloquium on Oversampling and Sigma-Delta Strategies for DSP (1995), p. 2
S.R. Norsworthy, R. Schreier, G.C. Temes, Delta-Sigma Converters, Theory, Design and Simulation (IEEE Press, New York, 1997)
Philips, Sony, Super Audio CD System Description (Philips Licensing, Eindhoven, 2002)
PKWARE, The inventor of pkzip. http://www.pkware.com/
D. Reefman, P.J.A. Harpe, E. Janssen, Noise-shaping device and method with improved lossless compression and good audio quality for high fidelity audio, U.S. Patent Application 2007/0290906 Al, filed July 15, 2004
D. Reefman, E. Janssen, DC analysis of high order sigma delta modulators, in Proceedings of the AES 113th Convention (2002). Preprint 5693, October 5–8, Los Angeles
D. Reefman, E. Janssen, Signal Processing for Direct Stream Digital (Philips, London, 2002). Available upon request
D. Reefman, E. Janssen, One-bit audio: an overview. Journal of the Audio Engineering Society 52(3), 166–189 (2004). Invited paper
R.A. Wannamaker, The theory of dithered quantization, PhD thesis, Department of Applied Mathematics, University of Waterloo, 1997
R.A. Wannamaker, S.P. Lipshitz, J. Vanderkooy, J.N. Wright, A theory of nonsubtractive dither. IEEE Transactions on Signal Processing 48(2), 499–516 (2000)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Janssen, E., van Roermund, A. (2011). Pruned Tree Sigma-Delta Modulation for SA-CD. In: Look-Ahead Based Sigma-Delta Modulation. Analog Circuits and Signal Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1387-1_10
Download citation
DOI: https://doi.org/10.1007/978-94-007-1387-1_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-1386-4
Online ISBN: 978-94-007-1387-1
eBook Packages: EngineeringEngineering (R0)