Iterative algorithms for the input and state recovery from the approximate inverse of strictly proper multivariable systems
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DOI: 10.1016/j.ymssp.2017.08.026
Abstract: Abstract This paper proposes new iterative algorithms for the unknown input and state recovery from the system outputs using an approximate inverse of the strictly proper linear time-invariant (LTI) multivariable system. One of the unique… read more here.
Keywords: state; approximate inverse; iterative algorithms; state recovery ... See more keywords
On the approximate inverse method in SPECT image reconstruction
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DOI: 10.1080/00036811.2018.1489957
Abstract: ABSTRACT In this paper, we first study the smoothing properties of the attenuated Radon transform with complex-valued coefficients. Then on the basis of the framework of Sobolev spaces and the method of the approximate inverse,… read more here.
Keywords: reconstruction; approximate inverse; spect image; inverse method ... See more keywords
A new complex approach towards approximate inverse and generalized Radon transform
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DOI: 10.1080/17476933.2017.1357706
Abstract: Abstract In this paper, we first consider the framework of Sobolev spaces and derive analytically a reconstruction algorithm by means of the residue theorem of complex analysis, the approximate inverse, Gaussian mollifier and integral equations.… read more here.
Keywords: approach towards; approximate inverse; generalized radon; radon transform ... See more keywords