The Harmonic Content of a Limit Cycle in a DSD Bitstream

Reiss JD, Sandler MB. The Harmonic Content of a Limit Cycle in a DSD Bitstream. In: AES Convention 116. Audio Engineering Society; 2004. Paper 6092. Available from: https://aes.org/publications/elibrary-page/?id=12697

@inproceedings{Reiss2004_12697,
  author = {Reiss, Joshua D. and Sandler, Mark B.},
  title = {{The Harmonic Content of a Limit Cycle in a DSD Bitstream}},
  booktitle = {AES Convention 116},
  note = {Paper 6092},
  year = {2004},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=12697}
}

TY  - CPAPER
TI  - The Harmonic Content of a Limit Cycle in a DSD Bitstream
AU  - Reiss, Joshua D.
AU  - Sandler, Mark B.
T2  - AES Convention 116
M1  - Paper 6092
PY  - 2004
DA  - 2004/05/06
UR  - https://aes.org/publications/elibrary-page/?id=12697
PB  - Audio Engineering Society
LA  - en
AB  - This work explores the effects of limit cycles on the frequency content in the DSD bitstream. We show how any periodic bitstream can be expressed as a sum of square waves of various phases with width equal to the sampling period. A Fourier expansion may be used to exactly determine the phases and amplitudes of all spectral content. We thus determine all harmonics that appear in the output, and thus are able to distinguish limit cycles from idle tones. These results are put into the context of recent advances in the theory of limit cycles and idle tones in sigma delta modulators.
ER  -