Open boundaries for the nonlinear Schrödinger equation
Journal of Computational Physics
Acceleration-based Dopplerlet transform-Part I: Theory
Signal Processing
Finding effective points by surrogate models with overcomplete bases
Journal of Computational and Applied Mathematics
Comparative study of adaptive techniques for denoising CN Tower lightning current derivative signals
Digital Signal Processing
Evolution strategies based adaptive Lp LS-SVM
Information Sciences: an International Journal
Error bounds for convex parameter estimation
Signal Processing
Wavelet transforms on two-dimensional images
Mathematical and Computer Modelling: An International Journal
Time-frequency analysis of signals using support adaptive Hermite-Gaussian expansions
Digital Signal Processing
| Hi-index | 754.84 |
The author defines a set of operators which localize in both time and frequency. These operators are similar to but different from the low-pass time-limiting operator, the singular functions of which are the prolate spheroidal wave functions. The author's construction differs from the usual approach in that she treats the time-frequency plane as one geometric whole (phase space) rather than as two separate spaces. For disk-shaped or ellipse-shaped domains in time-frequency plane, the associated localization operators are remarkably simple. Their eigenfunctions are Hermite functions, and the corresponding eigenvalues are given by simple explicit formulas involving the incomplete gamma functions