Department Of Mathematics, Kansas State University
| THURSDAY Nov. 12 : | THIRTY-FIFTH WILLIAM J. SPENCER LECTURE |
| Title: | Frames and the Discrete Fourier Transform |
| John Benedetto
University of Maryland Abstract: A new role for the discrete Fourier transform (DFT) is described. The setting is the theory of frames, whose history involves Riemann, Weber, Dini, Paley and Wiener, Duffin and Schaeffer, Beurling, and Henry Landau. The topics include the analysis of phase-coded waveforms, quantization methods, and vector-valued ambiguity functions. Each of the topics has basic applicability in modern communications and radar. Further, each of the topics is best understood mathematically with tools from number theory and harmonic analysis. There are also finite-unit, norm-tight frames associated with the DFT matrix. These frames have significant generalizations parameterized by finite abelian groups and unitary operators in one direction and by Hadamard matrices in another. | |
| Time and Place: | 2:30 PM CW 102 |