Abstract
Chapter seven presents a full analysis of the Trellis sigma-delta modulation algorithm. This algorithm is the first pruned look-ahead sigma-delta modulation algorithm found in literature. It is a derivative of the full look-ahead algorithm and uses concepts from Trellis (Viterbi) decoding, hence the name. In the Trellis sigma-delta modulation algorithm, at all times, a total number of 2N potential solutions (paths) are investigated, of which the most recent N symbols are different for all the solutions. The output symbol of the converter is found by tracing back any of the 2N paths L time steps. After the algorithm discussion a performance analysis is performed, which shows that the Trellis sigma-delta modulation approach results in a converter that has an improved linearity and better stability than a normal sigma-delta modulator, although the computational load is very high. Suggestions for an efficient implementation of the algorithm are provided as well.
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Notes
- 1.
Coherent averages are performed on the time domain signal before calculating the power spectrum and highlight coherent signal components, while power averages are performed on the power spectrum to smoothen the spectrum. See Appendix A for a detailed explanation.
References
J.A.S. Angus, Efficient algorithms for look-ahead sigma delta modulators, in Proceedings of the AES 115th Convention, October (2003). Preprint 5950, October 10–13, New York
G. Forney, The Viterbi algorithm. Proceedings of the IEEE 61(3), 268–278 (1973)
H. Kato, Trellis noise shaping converters architecture and evaluation, Technical Report 381, Technical Report of IEICE. EA, 2001
H. Kato, Trellis noise-shaping converters and 1-bit digital audio, in Proceedings of the AES 112th Convention, May (2002). Preprint 5615, May 10–13, Munich
A. Viterbi, Error bounds for convolutional codes and an asymptotically optimum decoding algorithm. IEEE Transactions on Information Theory 13(2), 260–269 (1967)
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Janssen, E., van Roermund, A. (2011). Trellis Sigma-Delta Modulation. In: Look-Ahead Based Sigma-Delta Modulation. Analog Circuits and Signal Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1387-1_7
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DOI: https://doi.org/10.1007/978-94-007-1387-1_7
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