The final MulAc Meeting was in Vienna from 29th to 30th of August 2011.
The ARI Mulac Frame Meeting was held on Tuesday, June 15th 2010at ARI.
The FYMA Mulac seminar was held in Louvain-la-Neuve in the 11th of March, 2010. (Talks by Jean-Pierre Antoine, Jean-Pierre Gazeau, Diana Stoeva and Peter Balazs.)
The MULAC - Kick-Off Meeting took place at ARI in Vienna from September 23rd to 24th 2008.
This international, multi-disciplinary and team-oriented project allowed P. Balazs to form a small group 'Mathematics and Acoustical Signal Processing’ at the Acoustic Research Institute in cooperation with NuHAG Vienna (Hans G. Feichtinger),LMA (Richard Kronland-Martinet) and LATP Marseille (Bruno Torrésani) as well as the FYMA Louvain-la-Neuve (Jean-Pierre Antoine).
Within the institute the groups 'Audiological Acoustics' and 'Software Development' are involved.
This project is funded by the WWTF . It will run for 3,5 years and post-docs will be employed for six years total, as well as master students for 36 months total.
In December 2007 the Austrian Academy of Sciences was presenting 'mathematics in ...' as the topic of the month . This included 'mathematics at the Acoustics Research Institute', which describes this project.
"Frame Multipliers” are a promising mathematical concept, which can be applied to retrieve desired information out of acoustic signals. P. Balazs introduced them by successfully generalizing existing time-variant filter approaches. This project aims to establish new results in the mathematical theory of frame multipliers, to integrate them in efficient digital signal processing algorithms and to make them available for use in 'real-world' acoustical applications. A multi-disciplinary and international cooperation has been established and will be extended in the project to create new significant impulses for the involved disciplines: mathematics, numerics, engineering, physics and cognitive sciences. Various acoustical applications like modelling of auditory perception, measurement of sound absorption coefficients and system identification of the head related transfer functions are included. The results of the project will allow their future integration into practical areas such as audio coding, noise abatement, sound quality design, virtual reality and hearing aids.
Time-variant digital filtering algorithms have attracted more and more attention in numerous signal processing applications of today’s life. One approach to implement such filters is to use Gabor multipliers, which are currently an active and dynamic research field in mathematics. By generalizing this approach, P. Balazs has recently introduced the concept of frame multipliers.
Preliminary results of the preparatory research performed by the project partners already show a strong potential for both the theoretical development and the applicability in 'real-life' audio. Frame theory is a highly attractive discipline of mathematics, whose results have been proved to be particularly relevant for applications in digital signal processing. The project aims to exploit this strong link, as well as its use in acoustical applications. While Gabor multipliers have been investigated in the past, frame multipliers using specific frames with their high potential far beyond conventional applications still need research.
The use of the theory of frame multipliers for acoustic applications and the mathematical investigation of (discrete) wavelet frame multipliers are innovations and seem to be highly promising. To investigate this potential to its fullest extent, an international cooperation based on joint research and vigorous knowledge exchange is considered to be essential. The international project team stands for strong links to international partner projects and for providing a solid basis for the solution of the scientific problems involved.
The project involves the following main topics:
The acoustical applications are expected to yield important benefits for the utilization in real life. The research results of the project’s application-oriented work packages [A1-A3] will allow the implementation of new methods for noise abatement, sound quality design, audio coding, virtual reality and hearing aids. At least one of the project’s developments is expected to be extended to a patentable method. The practical research work will include knowledge transfer between the different disciplines as well as an intensive exchange between the groups involved. The project is structured in the following work packages:
Theory of Frame Multipliers
Implementation and Application of Multipliers in Acoustics and Psychoacoustics
The research groups participating in the project have an international reputation for advanced research in their fields, as well as a record for successful interdisciplinary collaborations. The project will further benefit from synergetic effects of several ongoing international partner projects with different but related topics.