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J. Panzer, "A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling," Paper 7308, (2007 October.). doi: J. Panzer, "A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling," Paper 7308, (2007 October.). doi:
Abstract: 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.

@article{panzer2007a,
author={panzer, joerg},
journal={journal of the audio engineering society},
title={a novel mapping with natural transition from linear to logarithmic scaling},
year={2007},
volume={},
number={},
pages={},
doi={},
month={october},} @article{panzer2007a,
author={panzer, joerg},
journal={journal of the audio engineering society},
title={a novel mapping with natural transition from linear to logarithmic scaling},
year={2007},
volume={},
number={},
pages={},
doi={},
month={october},
abstract={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.},}

TY - paper
TI - A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling
SP - EP -
AU - Panzer, Joerg
PY - 2007
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2007 TY - paper
TI - A Novel Mapping with Natural Transition from Linear to Logarithmic Scaling
SP - EP -
AU - Panzer, Joerg
PY - 2007
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2007
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.