This report presents properties of the Discrete Pulse Transform on multi-dimensional arrays introduced earlier in . The main result given here in Lemma 2.1 is also formulated in [4, Lemma 21]. However, the proof, being too technical, was omitted there and hence it appears in full in this publication.
Technical report created by R. Anguelov (Mathematics and Applied Mathematics) and I.N. Fabris-Rotelli (Statistics).