The convergence properties of block-pulse series
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 12 (6), 745-751
- https://doi.org/10.1080/00207728108963780
Abstract
If the set of block-pulsa functions is incomplete, it cannot be guaranteed, for any given function, that an arbitrary small mean-square-error will be obtained by increasing the number of terms in the series. This paper studies the convergence properties of the block-pulse series. It is found that the set has a close relationship with delta sequences and it is proved that the set of block-pulse functions is in fact complete.Keywords
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