Title:Adaptive Fourier Decomposition and Its Applications to Signal and Functional Analysis
Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
Time and Date:1:00 pm, Tue, 19th Jun 2012
Based on generalized backward shift operators we introduce adaptive Fourier decomposition. Then we discuss its relations and applications to (i) system identification; (2) computation of Hilbert transform; (3) algorithm for the best order-n rational approximation to functions in the Hardy space H2; (4) forward and backward shift invariant spaces; (5) band preserving in filter designing; (6) phase retrieving; and (7) the Bedrosian identity. The talk also concerns possible generalizations of the theory and applications to higher dimensional spaces.