Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS
CORDIS Web 30th anniversary CORDIS Web 30th anniversary

EXPOnential analysis emPOWERing innovation

Periodic Reporting for period 1 - EXPOWER (EXPOnential analysis emPOWERing innovation)

Reporting period: 2021-10-01 to 2024-03-31

The EXPOWER project combines a broad spectrum of key research and training activities on Multi-Exponential Analysis with applications in industry, that are currently being undertaken in some premier research institutes. The network is interdisciplinary, intersectoral, unconventional and ambitious. It is unconventional in the sense that it connects stakeholders from seemingly separately developed fields: computational harmonic analysis, numerical linear algebra, computer algebra, nonlinear approximation theory, digital signal processing and their applications, in one and more dimensions. It is ambitious because the consortium stretches from mathematics to computational science and engineering and industry.

Multi-exponential analysis might sound remote, but it touches our daily lives in many surprising ways, even if most people are unaware of how important it is. For example, a substantial amount of effort in signal processing and time series analysis is essentially dedicated to the analysis of multi-exponential functions. Multi-exponential analysis is also fundamental to several research fields and application domains that are the subject of the EXPOWER proposal: remote sensing, antenna design, digital imaging, testing and metrology, all impacting some major societal or industrial challenges such as energy, transportation, space research, health and telecommunications.

The EXPOWER Beneficiaries and Third Country Partners, each bringing in their own complementary expertise, aim at solving some core challenges where the different domains involved with multi-exponential analysis meet. We target game-changing breakthroughs that will deliver a competitive advantage to industry. The EXPOWER project connects 10 countries, 9 universities, 3 international research institutes and 8 companies to explore this highly relevant thematic.
Although the start date of the project was moved to October 2022 and the Ice Breaker Meeting was delayed from January 2022 to May 2022, the scheduled deliverables and milestones for the first project year were realized.

A network-wide event in person was organized at the Leibniz Zenter in Dagstuhl (Germany) from May 30 to June 3, 2022. Despite the fact that some countries were gently relaxing their covid restrictions, the number of participants was still quite restricted at Dagstuhl, with regular covid testing at the premises. But the meeting was very fruitful and described in the Dagstuhl meeting report number 22221 with the title “Exponential analysis: Theoretical progress and Technological innovation”. Unfortunately, the Taiwanese partners could not participate in person in any of the above events due to very strict quarantine rules upon return to Taiwan. They joined the morning sessions of the meetings virtually.

The EXPOWER Mid Term Meeting scheduled in month 24, took place at Mariaspring near Goettingen from September 10 (arrival in the afternoon) to 14 (departure in the afternoon), 2023.

On the EXPOWER webpage (expower.eu) a list is maintained of the members’ presentations, tutorials and organized events. In total, EXPOWER members gave 74 oral presentations and 3 poster presentations at various occasions in the first 30 months, mostly at international conferences or workshops (some online, some in person). Several members of the EXPOWER consortium, in turns, organized a total of 15 international events, mostly open to external attendees although some could be attended by EXPOWER members only. At one of the network-wide events, Juergen Gerhard from the Industrial Partner Maplesoft, presented a tutorial on “Connecting Maple with other Software”. On the whole, we try to be very active after a difficult start due to the covid pandemic.

The list of publications on the EXPOWER thematic by its members is up to date at the website, with journal publications, proceedings papers and (social) media output. The project has a Facebook page, a Twitter account and a LinkedIn page.
Scientific progress was realized in the various Work Packages on mathematical interrelations, computational issues, generalizations beyond the state of the art, and several impactful applications. The achieved results touch different topics, ranging from the relation between inverse problems and exponential decay in bio-informatics, matrix-valued functions in signal processing, over some super-resolution problems, the analysis of quasi-periodic time series in finance, to reliable antenna position estimation and planar antenna array synthesis related to the intergovernmental and groundbreaking Square Kilometer Array (SKA) project.
expower-poster-v7-reduced.jpg