Samenvatting
The harmonically modulated Hermite series constitute an orthonormal basis in the Hilbert space of square-integrable functions. This basis comprises three free parameters, namely a translation, a modulation, and a scale factor. In practical situations, we are interested in series expansions that are as compact as possible. We can use the free parameters as the means to obtain a compact series expansion for a given function. We choose as the compactness criterion the first-order moment of the energy distribution in the transform domain. It is shown that, in that case, the optimum compaction parameters can be given in a simple analytic form depending on signal measurements only. Furthermore, these parameters have a clear physical interpretation, and the minimum of the compactness criterion is directly related to the time-bandwidth product.
Originele taal-2 | Engels |
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Pagina's (van-tot) | 243-250 |
Aantal pagina's | 8 |
Tijdschrift | Signal Processing |
Volume | 80 |
Nummer van het tijdschrift | 2 |
DOI's | |
Status | Gepubliceerd - 2000 |