Reconstruction of Signal and Its Fourier Spectra from Irregularly Distributed Samples

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概要

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• We introduce a procedure to determine the discrete Fourier spectra of the band-limited function from its irregularly distributed samples. The nonuniform data of the signal are represented by the non-orthogonal basis functions (non-harmonic Fourier functions) and discrete Fourier spectra of the signal. We construct a set of orthonormal basis functions from the above mentioned non-orthogonal basis functions using the Gram-Schmidt procedure. Based on the G-S procedure and the property of the orthogonalization, the spectral components of signal can be obtained by the conjugate transpose of orthonormal basis functions, their coefficients matrix and the nonuniform samples. Thus the desired signal can be obtained by the inverse Fourier transform of the determined discrete Fourier spectra. We apply this algorithm to reconstruct a band-limited low-pass and band-pass signal and show that our method provide more stable and better reconstruction than the matrix inversion method.

• 一般社団法人電子情報通信学会の論文
• 1994-10-25

著者

• PARK Yongwan

  Department of Information and Communication Engineering, Yeungnam University

• Park Yongwan

  Department Of Information And Communication Engineering Yeungnam University

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