Abstract
In this paper the characterization as convolution operators of filters sending finite energy signals to bounded signals is used to prove several theoretical results concerning the distance between the ideal filter and the spaces of physically realizable filters. Both the analog and the digital cases are studied and the formulas for the distance and the angle between the filters in each case are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 45 |
| Number of pages | 56 |
| Journal | Atlantic Electronic Journal of Mathematics |
| Volume | 3 |
| Publication status | Published - 2008 |
Keywords
- Filters
- Shift Invariant Operators
- Applications of Fourier Analysis
- History of Mathematics.