Fuzzy Impulsive Control of High Order Sigma Delta Modulators

Reiss J, Ling BW, Ho C. Fuzzy Impulsive Control of High Order Sigma Delta Modulators. In: AES Convention 118. Audio Engineering Society; 2005. Paper 6451. Available from: https://aes.org/publications/elibrary-page/?id=13167

@inproceedings{Reiss2005_13167,
  author = {Reiss, Joshua and Ling, Bingo, W. and Ho, Charlotte},
  title = {{Fuzzy Impulsive Control of High Order Sigma Delta Modulators}},
  booktitle = {AES Convention 118},
  note = {Paper 6451},
  year = {2005},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=13167}
}

TY  - CPAPER
TI  - Fuzzy Impulsive Control of High Order Sigma Delta Modulators
AU  - Reiss, Joshua
AU  - Ling, Bingo, W.
AU  - Ho, Charlotte
T2  - AES Convention 118
M1  - Paper 6451
PY  - 2005
DA  - 2005/05/06
UR  - https://aes.org/publications/elibrary-page/?id=13167
PB  - Audio Engineering Society
LA  - en
AB  - Limit cycles and divergent behavior may be observed in sigma delta modulators (SDMs), especially when the inputs are overloaded. In this paper, we consider high order SDMs as used in A/D and D/A audio applications. Consideration is given as to how the initial states of the SDM affect its stability. The conditions which may give rise to different nonlinear behaviors are derived. Then we develop a novel control algorithm based on fuzzy impulsive control, which involves a decision mechanism for stabilizing different possible instabilities. Examples featuring lowpass and bandpass SDMs of various order are given in order to illustrate the effectiveness of the proposed control strategy.
ER  -