摘要: We obtain irregular sampling theorems for the wavelet transform and short-time Fourier transform. These yield weighted frames wavelets Gabor functions with explicit estimates frame bounds.
springer.com
sci-hub.se 参考文章(16)
Karlheinz Gr�chenig, Describing Functions: Atomic Decompositions Versus Frames. Monatshefte für Mathematik. ,vol. 112, pp. 1- 42 ,(1991) , 10.1007/BF01321715
Ed Arthurs, Bart W. Stuck, A Computer and Communication Network Performance Analysis Primer (Prentice Hall, Englewood Cliffs, NJ, 1985; revised, 1987). Int. CMG Conference. pp. 959- 961 ,(1987)
Robert M Young, An introduction to nonharmonic Fourier series ,(1980)
H. G. Feichtinger, K. Gröchenig, M. Hermann, Iterative Methods in Irregular Sampling Theory, Numerical Results ASST '90 ASST '90, 7. Aachener Symposium für Signaltheorie: Modellgestützte Signalverarbeitung. pp. 160- 166 ,(1990) , 10.1007/978-3-642-76062-4_27
Louis A Hageman, David Matheson Young, Applied Iterative Methods ,(2004)
Hans Triebel, Theory of function spaces ,(1983)
I. Daubechies, The wavelet transform, time-frequency localization and signal analysis IEEE Transactions on Information Theory. ,vol. 36, pp. 961- 1005 ,(1990) , 10.1109/18.57199
Hans G Feichtinger, K.H Gröchenig, Banach spaces related to integrable group representations and their atomic decompositions, I Journal of Functional Analysis. ,vol. 86, pp. 307- 340 ,(1989) , 10.1016/0022-1236(89)90055-4
A. Grossmann, J. Morlet, T. Paul, Transforms associated to square integrable group representations. I. General results Journal of Mathematical Physics. ,vol. 26, pp. 2473- 2479 ,(1985) , 10.1063/1.526761
Hans G. Feichtinger, Karlheinz Gröchenig, Iterative reconstruction of multivariate band-limited functions from irregular sampling values Siam Journal on Mathematical Analysis. ,vol. 23, pp. 244- 261 ,(1992) , 10.1137/0523013