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Recovery of Sparse 1-D Signals from the Magnitudes of their Fourier Transform
Recovery of Sparse 1-D Signals the Magnitudes their Fourier Transform Information Theory
2012/6/27
The problem of signal recovery from the autocorrelation, or equivalently, the magnitudes of the Fourier transform, is of paramount importance in various fields of engineering. In this work, for one-di...
Application of Fractional Fourier Transform in Cepstrum Analysis
Application of Fractional Fourier Transform Cepstrum Analysis Information Theory
2012/6/21
Source wavelet estimation is the key in seismic signal processing for resolving subsurface structural properties. Homomorphic deconvolution using cepstrum analysis has been an effective method for wav...
Information Transmission using the Nonlinear Fourier Transform, Part II: Numerical Methods
Fiber-optic communications forward nonlinear Fourier transform Zakharov-Shabat spectral problem numerical methods
2012/4/23
In this paper, numerical methods are suggested to compute the discrete and the continuous spectrum of a signal with respect to the Zakharov-Shabat system, a Lax operator underlying numerous integrable...