All-Pass Hilbert Filters

Sierra J. All-Pass Hilbert Filters. In: AES Convention 152. Audio Engineering Society; 2022. Paper 10600. Available from: https://aes.org/publications/elibrary-page/?id=21713

@inproceedings{Sierra2022_21713,
  author = {Sierra, Juan},
  title = {{All-Pass Hilbert Filters}},
  booktitle = {AES Convention 152},
  note = {Paper 10600},
  year = {2022},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=21713}
}

TY  - CPAPER
TI  - All-Pass Hilbert Filters
AU  - Sierra, Juan
T2  - AES Convention 152
M1  - Paper 10600
PY  - 2022
DA  - 2022/05/06
UR  - https://aes.org/publications/elibrary-page/?id=21713
PB  - Audio Engineering Society
LA  - en
AB  - This paper presents a method to generate all-pass filters whose phase is defined by the magnitude response of traditional IIR filter prototypes. The purpose of this is to make the overall shape of the filter controllable in an intuitive way so that the end user can specify arbitrary, but well-behaved, phase responses. At the core of the algorithm is the Hilbert transformer, which has been throughly studied with different implementations. However, with a simple modification we obtain the "Phase Displacer" which can produce an arbitrary constant phase shift at all frequencies. Expanding this idea per frequency we obtain the "Phase Equalizer": an all-pass filter whose shape is the magnitude response of either a shelving or peaking IIR filter.
ER  -