Towards a Better Understanding of 1-Bit Sigma-Delta Modulators - Part 2

Lipshitz SP, Vanderkooy J. Towards a Better Understanding of 1-Bit Sigma-Delta Modulators - Part 2. In: AES Convention 111. Audio Engineering Society; 2001. Paper 5477. Available from: https://aes.org/publications/elibrary-page/?id=9820

@inproceedings{Lipshitz2001_9820,
  author = {Lipshitz, Stanley P. and Vanderkooy, John},
  title = {{Towards a Better Understanding of 1-Bit Sigma-Delta Modulators - Part 2}},
  booktitle = {AES Convention 111},
  note = {Paper 5477},
  year = {2001},
  month = nov,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=9820}
}

TY  - CPAPER
TI  - Towards a Better Understanding of 1-Bit Sigma-Delta Modulators - Part 2
AU  - Lipshitz, Stanley P.
AU  - Vanderkooy, John
T2  - AES Convention 111
M1  - Paper 5477
PY  - 2001
DA  - 2001/11/06
UR  - https://aes.org/publications/elibrary-page/?id=9820
PB  - Audio Engineering Society
LA  - en
AB  - This paper extends our previous studies of 1-bit sigma-delta modulators. We now investigate 11/2-bit (i.e., 3 level) systems, and again find that we can predict their idle-tone behavior and the spectral structure of their output. We address the question of whether sigma-delta modulators are adequately dithered by their internal noise, and compare the behavior of minimum-phase and non-minimum-phase (i.e., chaotic) modulator designs. Numerous computer simulations, greatly aided by coherent averaging, have guided us to two basic mechanisms that explain the distortion: the sweeping of the idle tone, and the saturating quantizer characteristic. A model of the nonlinearity of a dithered quantizer explains the general nature of the harmonic distortion components and their phases. The data also show unambiguously that the maximum possible dither should always be used.
ER  -