Publications of year 1978

Articles in journal or book chapters

1. John W. Brewer. Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems, 25(9):772-781, September 1978. Keyword(s): Algebra, Algebraic and geometric techniques, Linear systems, time-invariant continuous-time, Matrix functions, Parameter identification, Algebra, Calculus, Feedback, Helium, Matrices, Sensitivity analysis, Steady-state, Stochastic systems, Subspace constraints, Sufficient conditions.

   Abstract:

   The paper begins with a review of the algebras related to Kronecker products. These algebras have several applications in system theory including the analysis of stochastic steady state. The calculus of matrix valued functions of matrices is reviewed in the second part of the paper. This calculus is then used to develop an interesting new method for the identifiication of parameters of lnear time-invariant system models.

   
   

   @Article{brewer1978KroneckerProducts,
   author = {Brewer, John W.},
   title = {Kronecker products and matrix calculus in system theory},
   journal = {IEEE Transactions on Circuits and Systems},
   year = {1978},
   volume = {25},
   number = {9},
   pages = {772-781},
   month = {Sep},
   issn = {0098-4094},
   abstract = {The paper begins with a review of the algebras related to Kronecker products. These algebras have several applications in system theory including the analysis of stochastic steady state. The calculus of matrix valued functions of matrices is reviewed in the second part of the paper. This calculus is then used to develop an interesting new method for the identifiication of parameters of lnear time-invariant system models.},
   doi = {10.1109/TCS.1978.1084534},
   file = {:brewer1978KroneckerProducts.pdf:PDF},
   keywords = {Algebra;Algebraic and geometric techniques;Linear systems, time-invariant continuous-time;Matrix functions;Parameter identification;Algebra;Calculus;Feedback;Helium;Matrices;Sensitivity analysis;Steady-state;Stochastic systems;Subspace constraints;Sufficient conditions},
   pdf = {../../../docs/brewer1978KroneckerProducts.pdf},
   
   }
   




2. R. H. Stolt. Migration by Fourier Transform. Geophysics, 43(1):23-48, February 1978. Keyword(s): SAR Processing, Migration, Wavenumber Domain Algorithm, omega-k, Range Migration Algorithm, Stolt Mapping.

   Abstract:

   Wave equation migration is known to be simpler in principle when the horizontal coordinates are replaced by their Fourier conjugates. Two practical migration schemes utilization this concept are developed in this paper. One scheme extends the Claerbout finite difference method, greatly reducing dispersion problems usually associated with this method at higher dips and frequencies. The second scheme effects a Fourier transform in both space and time; by using the full scalar wave equation in the conjugate space, the method eliminates (up to the aliasing frequency) dispersion altogether. The second method in particular appears adaptable to three-dimensional migration and migration before stack.

   
   

   @Article{stolt78:Migration,
   Title = {{Migration by Fourier Transform}},
   Author = {R. H. Stolt},
   Month = Feb,
   Number = {1},
   Pages = {23-48},
   Volume = {43},
   Year = {1978},
   Abstract = {Wave equation migration is known to be simpler in principle when the horizontal coordinates are replaced by their Fourier conjugates. Two practical migration schemes utilization this concept are developed in this paper. One scheme extends the Claerbout finite difference method, greatly reducing dispersion problems usually associated with this method at higher dips and frequencies. The second scheme effects a Fourier transform in both space and time; by using the full scalar wave equation in the conjugate space, the method eliminates (up to the aliasing frequency) dispersion altogether. The second method in particular appears adaptable to three-dimensional migration and migration before stack.},
   Journal = {Geophysics},
   Keywords = {SAR Processing, Migration, Wavenumber Domain Algorithm, omega-k, Range Migration Algorithm, Stolt Mapping},
   Pdf = {../../../docs/stolt78.pdf} 
   }
   

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This collection of SAR literature is far from being complete.
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