A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling

Panzer J. A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling. In: AES Convention 123. Audio Engineering Society; 2007. Paper 7308. Available from: https://aes.org/publications/elibrary-page/?id=14365

@inproceedings{Panzer2007_14365,
  author = {Panzer, Joerg},
  title = {{A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling}},
  booktitle = {AES Convention 123},
  note = {Paper 7308},
  year = {2007},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=14365}
}

TY  - CPAPER
TI  - A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling
AU  - Panzer, Joerg
T2  - AES Convention 123
M1  - Paper 7308
PY  - 2007
DA  - 2007/10/06
UR  - https://aes.org/publications/elibrary-page/?id=14365
PB  - Audio Engineering Society
LA  - en
AB  - The area hyperbolic function ArSinh has the interesting property of performing a linear mapping at arguments close to zero and a quasi-logarithmic mapping for large arguments. Further, it works also with a negative abscissa and at the zero-point. The transition from the linear to the logarithmic range is monotonic, so is the transition to the negative range. This paper demonstrates the use of the ArSinh-function in a range of application examples, such as zooming into the display of transfer-functions, sampling of curves with high density at a specific point and a coarse resolution elsewhere. The paper also reviews the linear and logarithmic mapping and discusses the properties of the new ArSinh-mapping.
ER  -