On the Similarity between Feedback/Loopback Amplitude and Frequency Modulation

Smyth T. On the Similarity between Feedback/Loopback Amplitude and Frequency Modulation. In: AES Convention 147. Audio Engineering Society; 2019.pp. 10223:1-. Available from: https://aes.org/publications/elibrary-page/?id=20596

@inproceedings{Smyth2019_20596,
  author = {Smyth, Tamara},
  title = {{On the Similarity between Feedback/Loopback Amplitude and Frequency Modulation}},
  booktitle = {AES Convention 147},
  pages = {10223:1-},
  year = {2019},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=20596}
}

TY  - CPAPER
TI  - On the Similarity between Feedback/Loopback Amplitude and Frequency Modulation
AU  - Smyth, Tamara
T2  - AES Convention 147
SP  - 1
M1  - Paper 10223
PY  - 2019
DA  - 2019/10/06
UR  - https://aes.org/publications/elibrary-page/?id=20596
PB  - Audio Engineering Society
LA  - en
AB  - This paper extends previous work in loopback frequency modulation (FM) to a similar system in which an oscillator is looped back to modulate its own amplitude, so called feedback amplitude modulation (FBAM). A continuous-time closed-form solution is presented for each, yielding greatly improved numerical properties, reduced dependency on sampling rate, and a more accurate representation of the feedback by eliminating the unit-sample delay required for discrete-time implementation. Producing similar waveforms, it is shown that FBAM for a known input frequency, is actually a scaled and offset version of loopback FM having a different carrier frequency but same sounding frequency. Two distinct representations are used to show mathematical equivalence between systems while validating the closed-form solution for each.
ER  -