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Look-ahead Sigma-Delta modulators look forward k samples before deciding to output a "one" or a "zero". The Viterbi algorithm is then used to search the trellis of the exponential number of possibilities that such a procedure generates. This paper describes alternative tree based algorithms. Tree based algorithms are simpler to implement because they do not require backtracking to determine the correct output value. They can also be made more efficient using "Stack" algorithms. Both the tree algorithm and the more computationally efficient "Stack" algorithms are described. Implementations of both algorithms are described in some detail. In particular, the appropriate data structures for both the trial filters and score memories.
Author (s): Angus, James A. S.;
Affiliation:
Acoustics Research Centre, Research Institute for the Built and Human Environment, University of Salford, Salford, Greater Manchester, England
(See document for exact affiliation information.)
AES Convention: 117
Paper Number:6281
Publication Date:
2004-10-06
Session subject:
Signal Processing
DOI:
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Angus, James A. S.; 2004; Implementation of "Tree" and “Stack” Algorithms for Look-Ahead Sigma Delta Modulators [PDF]; Acoustics Research Centre, Research Institute for the Built and Human Environment, University of Salford, Salford, Greater Manchester, England; Paper 6281; Available from: https://aes.org/publications/elibrary-page/?id=12938
Angus, James A. S.; Implementation of "Tree" and “Stack” Algorithms for Look-Ahead Sigma Delta Modulators [PDF]; Acoustics Research Centre, Research Institute for the Built and Human Environment, University of Salford, Salford, Greater Manchester, England; Paper 6281; 2004 Available: https://aes.org/publications/elibrary-page/?id=12938
@inproceedings{Angus2004implementation,
title={{Implementation of "Tree" and “Stack” Algorithms for Look-Ahead Sigma Delta Modulators}},
author={Angus, James A. S.},
year={2004},
month={oct},
booktitle={Journal of the Audio Engineering Society},
publisher={Paper 6281; AES Convention 117; October 2004},
number={6281},
organization={AES},
}
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