Overlapping Binary Sequences (G. Blom)

Alignment of Non-Overlapping Sequences

This paper shows how two image sequences that have no spatial overlap between their fields of view can be aligned both in time and in space. Such alignment is possible when the two cameras are attached closely together and are moved jointly in space. The common motion induces “similar” changes over time within the two sequences. This correlated temporal behavior, is used to recover the spatial ...

Voesenek and Blom

Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

Binary Periodic Synchronizing Sequences

In this article, we consider words over f0; 1g of length l 2. The autodistance of such a word is the lowest among the Hamming distances between the word and its images by circular permutations other than identity; the word’s reverse autodistance is the highest among these distances. For each l 2, we study the words of length l whose autodistance and reverse autodistance are close to l=2 (we cal...

Binary Prime Tableau Sequences

This paper proposes a new class of random sequences called binary primes tableau (PT) sequences that have potential applications in cryptography and communications. The PT sequence of rank p is obtained from numbers arranged in a tableau with p columns where primes are marked off until each column has at least one prime and where the column entries are added modulo 2. We also examine the dual t...