Uncertainty, eigenvalue problems and filter design
نویسنده
چکیده
The purpose of the work reported here is two-fold. First, it extends the earlier results to finite transforms. Results are derived for the finite forms of both the harmonic oscillator and prolate spheroidal equations. Two—dimensional forms of the problems are considered. These results are the natural finite analogues of those presented by both Gabor and Slepian. By treating both problems together as eigenvalue problems, their common features may be seen more clearly. Furthermore, the use of finite transforms has conceptual and computational advantages and is, in any case, natural in image processing.
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