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The sampling theorem also known as Shannon theorem is the basis for digital signal processing and computer based algorithms. A great number of publications is devoted to sampling and reconstruction of signals [3] [4]. Spectral properties of the underlying continuous signals and different kinds of applications require a specific approach in designing an optimal sampling grid. For doing this, in the...
The receiver signal of sonar systems consists of the sum of reflected signals stemming from many scatterers. The resolution of sonar imaging systems depends in range direction on the bandwidths of the transmitter signal and in angular direction on the beamwidth of the receiver antenna. Tomography is a very promising method to improve the resolution of such sonar systems in angular direction. Basically,...
Due to the physical nature of annihilation process, 3D imaging techniques are intrinsically demanded for the positron emission tomography (PET). However, the incorporation of additional cross-plane measurements imposes excessive amount of projection data and thereby clinically impractical reconstruction time. For this reason, Fourier-based inversion methods deserve a deepening investigation. The crucial...
In this paper a new approach is presented to analyze the spectral behavior of the 3D projection signal generated via plane integrals. More accurate determination of the effective support region of the projection spectrum without approximation is realized compared to previous approaches. On the basis of acquired results, a more accurate and optimal interlaced sampling pattern is correspondingly established...
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