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On the Use of Lyapunov Criteria to Analyze the Convergence of Blind Deconvolution Algorithms  (Make Corrections)  
Deepa Kundur, Dimitrios Hatzinakos



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Abstract: We present an approach to determine sufficient conditions for the global convergence of iterative blind deconvolution algorithms using finite impulse response (FIR) deconvolution filters. The novel technique, which incorporates Lyapunov's direct method, is general, flexible and can be easily adapted to analyze the behaviour of many types of nonlinear iterative signal processing algorithms. Specifically, we find sufficient conditions to guarantee a unique solution for the NAS-RIF algorithm used... (Update)

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BibTeX entry:   (Update)

@misc{ kundur-use,
  author = "Deepa Kundur and Dimitrios Hatzinakos",
  title = "On the Use of Lyapunov Criteria to Analyze the Convergence of Blind Deconvolution
    Algorithms",
  url = "citeseer.ist.psu.edu/93629.html" }
Citations (may not include all citations):
169   Nonlinear Systems Analysis (context) - Vidyasagar - 1993
105   Convex Analysis and Minimization Algorithms (context) - Hiriart-Urruty, Lemar'ecal - 1993
48   A new algorithm in spectral analysis and band-limited extrap.. (context) - Papoulis - 1975
38   Super-resolution through error energy reduction (context) - Gerchberg - 1974
18   Bussgang techniques for blind deconvolution and equalization (context) - Bellini - 1991
12   Blind image restoration via recursive filtering using determ.. - Kundur, Hatzinakos - 1996
3   an iterative technique for recovery of bandlimited signals (context) - Wiley - 1978
2   Recursive blind deconvolution of still images based on nonne.. (context) - Kundur, Hatzinakos et al. - 1998
2   Maxwell Macmillan Canada (context) - Khalil, Systems - 1992

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