Frame-type kernel and time-frequency transforms. (English) Zbl 1528.42011
MSC:
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42C15 | General harmonic expansions, frames |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 62P30 | Applications of statistics in engineering and industry; control charts |
| 94A20 | Sampling theory in information and communication theory |
References:
| [1] | DaubechiesI. Ten Lectures on Wavelets, CBMS, 61. Philadelphia: SIAM; 1992. · Zbl 0776.42018 |
| [2] | DuffinRJ, SchaefferAC. A class of nonharmonic Fourier series. Trans Amer Math Soc. 1952;72:341‐366. · Zbl 0049.32401 |
| [3] | GröchenigKH. Foundations of Time‐Frequency Analysis. Boston: Birkhäuser; 2000. |
| [4] | LongRL. Multivariate Wavelet Analysis. Beijing: World Publishing Beijing Corporation; 1995. |
| [5] | FeichtingerHG, GröchenigKH. Gabor frames and time‐frequency analysis of distributions. J Func Anal. 1997;146:464‐495. · Zbl 0887.46017 |
| [6] | DahlkeS, LorenzD, MaassP, SagivC, TeschkeG. The canonical coherent states associated with quotients of the affine Weyl‐Heisenberg group. J Appl Func Anal. 2008;3(2):215‐232. · Zbl 1165.22007 |
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