Open AccessProceedings Article
Complementary sequences for coded aperture imaging
Paul Dan Cristea,R. Tuduce,Jan Cornelis +2 more
- Vol. 1, pp 53-56
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TLDR
The coded aperture approach as discussed by the authors uses a coding mask with a large number of pinholes and a reconstruction of the image by correlation with a corresponding decoding mask, which has been achieved in high-energy astronomy, but difficulties persist in biologic and medical imaging.Abstract:
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.read more
Citations
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Computational Design of Sequences With Good Correlation Properties
Mojtaba Soltanalian,Petre Stoica +1 more
TL;DR: A computational framework based on an iterative twisted approximation (ITROX) and a set of associated algorithms for various sequence design problems and a modified version of the general framework that can be useful in constrained alphabets are introduced.
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Fast communication: A fast algorithm for designing complementary sets of sequences
TL;DR: A fast computational frequency-domain approach for designing complementary sets of sequences and modified versions of the proposed algorithm are derived to tackle the complementary set design problems in which low peak-to-average-power ratio (PAR), unimodular or phase-quantized sequences are of interest.
Signal Design for Active Sensing and Communications
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References
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A Framework for the Construction of Golay Sequences
TL;DR: Fiedler and Chu as discussed by the authors gave an algebraic normal form for m! · 2 ordered Golay pairs of length 2 over Z2h, involving m!/2 · 2 h(m+1) Golay sequences.
Journal ArticleDOI
How Do More Golay Sequences Arise
F. Fiedler,Jonathan Jedwab +1 more
TL;DR: It is shown how these sequences arise from interleaving and concatenation of two classes of Golay complementary sequences given as an example by Davis and Jedwab.
Journal Article
A Framework for the Construction of Golay Sequences. Commentary
TL;DR: Fiedler and Chu as mentioned in this paper gave an algebraic normal form for m!·2 h(m+2) ordered Golay pairs of length 2 m over Z2h, involving m!/2 ·2 h (m+1) Golay sequences.
Book ChapterDOI
On Complementary Sequences
Amnon Gavish,A. Lempel +1 more
TL;DR: A set of complex-valued sequences Sj =(sj1, sj2, ..., sJN) is called complementary if the sum R(·) of their auto-correlation functions kj=1 k satisfies thesum of j = 1 k.