Signal Processing 2020 DOI: 10.1016/j.sigpro.2019.07.004 View full text
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Dan Xiong, Li Chai, Jingxin Zhang

Abstract: Most rational systems can be described in terms of orthonormal basis functions. This paper considers the reconstruction of a sparse coefficient vector for a rational transfer function under a pair of orthonormal rational function bases and from a limited number of linear frequency-domain measurements. We prove the uncertainty principle concerning pairs of compressible representation of orthonormal rational functions in the infinite dimensional function space. The uniqueness of compressible representation usin…

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