Discretized radon transform and its spectral properties

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 domain of multidimensional signal processing a greater degree of freedom can be utilized. In this paper the spectral properties of the projection signal of a tomograph with respect to the bandwidth is analysed and an optimal sampling grid for projection data is presented.