In this paper, we introduce a computational framework based on an iterative twisted approximation (ITROX) and a set of associated algorithms for various sequence design problems. The proposed computational framework can be used to obtain sequences (or complementary sets of sequences) possessing good periodic or aperiodic correlation properties and, in an extended form, to construct zero (or low) correlation zone sequences. Furthermore, as constrained (e.g., finite) alphabets are of interest in many applications, we introduce a modified version of our general framework that can be useful in these cases. Several applications of ITROX are studied and numerical examples (focusing on the construction of real-valued and binary sequences) are provided to illustrate the performance of ITROX for each application.

Computational Design of Sequences With Good Correlation Properties

https://www.it.uu.se/katalog/mojso279/p5.pdf

Fast communication: A fast algorithm for designing complementary sets of sequences

Man-made active sensing systems such as active radar and sonar have been a vital part of our civilization's advancement in navigation, defense, meteorology, and space exploration. Modern active sen ...

/pdf/signal-design-for-active-sensing-and-communications-3rf063wj4m.pdf

Signal Design for Active Sensing and Communications

Pinhole cameras have been used for imaging in the high energy radiation domain, e.g., for X-rays or gamma-rays, when lenses or other focussing devices can no longer be used. The main problem with pinhole cameras is the contradiction between the resolution - which requires small pinholes, and the sensitivity - which asks for large apertures. The paper discusses the coded aperture approach which uses a coding mask with a large number of pinholes and a reconstruction of the image by correlation with a corresponding decoding mask. Very good results have been achieved this way in high-energy astronomy, but difficulties persist in biologic and medical imaging, in particular in single-photon emission computed tomography (SPECT), because of the artifacts in the near-field imaging.

http://ieeexplore.ieee.org/iel5/4658782/4747417/04747436.pdf

R. Tuduce

Papers

Complementary sequences for coded aperture imaging