Mathematics and Signal Processing in Acoustics
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Google Scholar: Nicki Holighaus
Nicki Holighaus studied mathematics and theoretical computer sciences at Justus–Liebig–University, Gießen, Germany. He graduated in 2010. After three years of doctoral studies at the University of Vienna, Austria, where he worked as a research assistant at the Numerical Harmonic Analysis Group (NuHAG), he successfully defended his PhD thesis "Theory and implementation of adaptive time-frequency transforms” in October 2013.
Since August 2012 he is part of the Acoustic Research Institute's workgroup "Mathematics and Signal Processing in Acoustics", where he works on theoretical and applied aspects of frames and adapted time-frequency representations.
His main interests include frame theory and time-frequency analysis, the design of adaptive and adapted time-frequency representations and signal processing, in particular for audio applications.
- Theory and Application of warped time-frequency representations
- Generalized coorbit theory to structured continuous frames
- Reassignment and partial phase derivatives
- Similarity-based audio inpainting
- Perceptually-motivated time-frequency representations