Wideband pulse reconstruction from sparse spectral-amplitude data. Final report | Zendy

K. F. Casey | Zendy; B.A. Baertlein | Zendy

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Wideband pulse reconstruction from sparse spectral-amplitude data. Final report

Author(s) -

K. F. Casey,

B.A. Baertlein

Publication year - 1993

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/446294

Subject(s) - wideband , waveform , interpolation (computer graphics) , algorithm , fourier transform , amplitude , mathematics , phase retrieval , signal reconstruction , time domain , cauchy distribution , frequency domain , phase (matter) , computer science , mathematical analysis , optics , artificial intelligence , physics , computer vision , signal processing , telecommunications , image (mathematics) , radar , quantum mechanics

Methods are investigated for reconstructing a wideband time-domain pulse waveform from a sparse set of samples of its frequency-domain amplitude spectrum. Approaches are outlined which comprise various means of spectrum interpolation followed by phase retrieval. Methods for phase retrieval are reviewed, and it is concluded that useful results can only be obtained by assuming a minimum-phase solution. Two reconstruction algorithms` are proposed. The first is based upon the use of Cauchy`s technique for estimating the amplitude spectrum in the form of a ratio of polynomials. The second uses B-spline interpolation among the sampled values to reconstruct this spectrum. Reconstruction of the time-domain waveform via inverse Fourier transformation follows, based on the assumption of minimum phase. Representative numerical results are given

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