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      • Department of Electrical and Electronics Engineering
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      A wavelet based recursive reconstruction algorithm for linear measurements

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      Author
      Orhan, Arıkan
      Date
      1996
      Source Title
      Proceedings of the 3rd International Symposium on Time-Frequency and Time-Scale Analysis, IEEE 1996
      Publisher
      IEEE
      Pages
      33 - 36
      Language
      English
      Type
      Conference Paper
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      Abstract
      A recursive algorithm is proposed to obtain an efficient regularized least squares solution to large linear system of equations which arises in many physical measurement models. The algorithm recursively updates the solution in an increasingly larger dimensional subspace whose basis vectors are chosen as a subset of a complete wavelet basis. Robust criterions on how to chose the basis vectors at each iteration, and when to stop the iterations are given.
      Keywords
      Algorithms
      Calculations
      Computational complexity
      Iterative methods
      Least squares approximations
      Mathematical models
      Parameter estimation
      Recursive functions
      Vectors
      Wavelet transforms
      Adaptive partitioning methods
      Recursive reconstruction algorithm
      Signal processing
      Permalink
      http://hdl.handle.net/11693/27740
      Published Version (Please cite this version)
      https://doi.org/10.1109/TFSA.1996.546679
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      • Department of Electrical and Electronics Engineering 3524
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