Abstract
Gabor's expansion of a signal into a discrete set of properly shifted and modulated versions of an elementary signal is introduced, and a way to determine the expansion coefficients is derived. The way in which the expansion coefficients are transformed when the signal propagates through a linear system, is described; in particular, the basic coherent-optical system consisting of a 4f-arrangement with rectangular apertures in the input and the Fourier plane, is considered. As a result, the well-known property that a signal which is roughly limited both in space and in spatial frequency has a number of complex degrees of freedom which is equal to the space-bandwidth product, is re-established.
Original language | English |
---|---|
Pages (from-to) | 1223-1229 |
Number of pages | 7 |
Journal | Optica Acta |
Volume | 29 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1982 |