Richard C. Le Borne, Ph. D.
 
 
Publications
 
 
1.
 J.R. Bunch, R.C. Le Borne, I.K. Proudler. Applying Numerical Linear Algebra Techniques to Analyzing Algorithms in Signal Processing, Linear Algebra and Its Applications vol. 361, 2003, pp 133-146.
     
 
2.

J.R. Bunch, R.C. Le Borne, I.K. Proudler. Understanding the Explosive Divergence of the FTF Algorithm, 14th International Conference on Digital Signal Processing (DSP-2002)", Santorini Greece, July1-3, 2002, V.II, M3B.1, pp655-658.
 
3.
 J.R. Bunch, R.C. Le Borne, I.K. Proudler. Measuring and Maintaining Consistency: A Hybrid FTF Algorithm, Int. Journal of Applied Mathematics and Computer Science, Jan. 2002, V.II, no.5, pp 101-114.
     
 
4.
 J.R. Bunch, R.C. Le Borne, I.K. Proudler. Analysis of the Direct and Indirect A Posteriori RLSL Algorithm, Journal of Numerical Linear Algebra with Applications, vol. 8, September 2001, pp 453-466.
     
 
5.
 R.C. Le Borne, I.K. Proudler. "Tracking the Instability in the FTF Algorithm;" Proceedings to the 14th International Symposium on Mathematical Theory of Networks and Systems, MTNS-2000, Perpignon France, June 2000.
     
 
6.
 J.R. Bunch, R.C. Le Borne, I.K. Proudler. "A Conceptual Framework for Consistency, Conditioning and Stability Issues in Signal Processing;", IEEE Transactions on Signal Processing, September 2001, vol. 49, pp 1971-1981. 
 
 
 
7.
 J.R. Bunch, R.C. Le Borne, I.K. Proudler. "Tracking ill-Conditioning for the RLS-Lattice Algorithms;", IEE Proceedings Vision, Image and Signal Processing, IEE Proceedings Vision, Image and Signal Processing, vol. 145, February 1998, pp. 1-6.  
 
  
  
 
8.
 R.C. Le Borne. "Assessing Stability for Adaptive Filtering Algorithms in Signal Processing;" "Mathematics in Signal Processing IV" J.G. McWhirter and I.K. Proudler (Eds.) Oxford University Press, 1998, pp. 95-112
     
 
9.
 J.R. Bunch, R.C. Le Borne. "Accumulation Effects for the A Posteriori RLSL Prediction Filter;" IEEE Transactions on Signal Processing, vol. 43, no. 1, January 1995, pp. 150-159.
     
 
10.
 J.R. Bunch, R.C. Le Borne. "A Comparative Analysis Regarding Numerical Concerns for RLSL Algorithms;" Proceedings of the SPIE, Advanced Signal Processing: Algorithms, Architectures, and Implementations, 2296, July 1994, pp. 450-456.
     
 
11.
 J.R. Bunch, R.C. Le Borne. "Analysis of the Recursive Least Squares Lattice Algorithm;" Linear Algebra for Large Scale and Real-Time Applications, NATO ASI Series, 1993, pp 355-356.
     
 
12.
 J.R. Bunch, R.C. Le Borne. "Controlling Error Propagation for the Recursive Least Squares Prediction Filter;" SPIE: Advanced Algorithms and Architectures for Signal Processing, v. 2027, 1993, pp. 436-447.
     
 
13.
 R.C. Le Borne. " Numerical Analysis of the A Posteriori Recursive Least Squares Lattice Prediction Algorithm", Dissertation, University of California, San Diego, September 1993.
     
 
14.
 R.C. Le Borne. "A Generic Ground Collision Avoidance System for Tactical Aircraft;" Proceedings for the IEEE 1988 National Aerospace and Electronics Conference NAECON, 1:184-190, 1988.