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Isaac Newton Institute for Mathematical Sciences

Nonlinear and Nonstationary Signal Processing

July to December 1998

Organisers: W J Fitzgerald (Cambridge), R L Smith (University of North Carolina), A Walden (Imperial College, London) and P C Young (Lancaster University)

Gabor Mini-Workshop Programme - First Draft

August 3rd - 6th

Program suggested by Hans G. Feichtinger

Local organizer: W. Fitzgerald

 Monday August 3rd 


TOPIC:   Time-Frequency and Time-Scale Methods General Tools and (non-)orthogonal Expansions

10.00 Welcome to participants, organisational remarks

10.00 - 11.00  P.Flandrin (Lyon)
Time-Frequency methods

11.00 - 11.30 Coffee

11.30 - 12.30 H.G. Feichtinger (Vienna)
Double coherent series expansions and Banach frames

Lunch

14.00 - 14.45 Dave Walnut (USA)
The Balian-Low phenomenon, Gabor versus Wavelet Analysis

15.00 - 15.30 J.C.O'Neill (and P.Flandrin)
Matching Pursuit Algorithms: old and new: A Maximum Likelihood Atomic Decomposition with Chirped Gabor Functions 

Tea

16.00 - 17.00:  Yura Lyubarskii
Entire functions and irregular sampling

Tuesday August 4th


        TOPIC: Foundations of Gabor Analysis and Numerical Gabor Analysis

 9.15 - 10.00 and 10.15 - 11.00 K.Groechenig
The structure of Gabor frames (basic facts including proofs)

11.30-12.15 Hans G. Feichtinger:
Banach spaces of functions/distributions for Gabor analysis

 Lunch

 14.30 - 15.30 T.Strohmer (Davis/USA)
A unified approach to numerical Gabor Analysis

16.00 - 16.30  R.Baraniuk
Hybrid linear/non-linear time-frequency analysis

 Tea

16.00 - 17.50  H.Boelckei (TU Vienna)
Filter-banks and frames in l2(Z)

Wednesday August 5th


 TOPIC: Applications of Gabor Analysis and related topics

9.30 - 10.15 A.J.E.M. Janssen (Philips, Eindhoven)
Density Theorems for filter banks

10.30 - 11.30 W.Kozek (Siemens, Muenich)
Adaptation of Weyl-Heisenberg systems to underspread environments

11.30 - 12.15 M. Coates (Cambridge)
Monkeying around with time frequency distributions

Lunch

14.00-14.30 D Jones (Illinois)
Nonstationary interference suppression using overdetermined frame representations

14.30-15.00 S Godsill (Cambridge)
Audio restoration


Thursday August 6th

Discussion groups (special topics) to be announced

Summary of the meeting and outlook.

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