Formal derivation of a systolic array for recursive least squares estimation

1996 ◽  
Vol 43 (3) ◽  
pp. 247-254 ◽  
Author(s):  
I.K. Proudler ◽  
J.G. McWhirter ◽  
M. Moonen ◽  
G. Hekstra
Keyword(s):  
Least Squares ◽  
Systolic Array ◽  
Least Squares Estimation ◽  
Recursive Least Squares ◽  
Formal Derivation

SYSTOLIC ALGORITHMS FOR RECURSIVE TOTAL LEAST SQUARES PARAMETER ESTIMATION AND MIXED RLS/RTLS PROBLEMS

1993 ◽  
Vol 04 (01) ◽  
pp. 55-68 ◽  
Author(s):  
MARC MOONEN
Keyword(s):  
Parameter Estimation ◽  
Least Squares ◽  
Total Least Squares ◽  
Parallel Architectures ◽  
Least Squares Estimation ◽  
Recursive Least Squares ◽  
Recursive Algorithms ◽  
Least Squares Problems ◽  
Linearly Constrained ◽  
Systolic Algorithms

Total least squares parameter estimation is an alternative to least squares estimation though much less used in practice, partly due to the absence of efficient recursive algorithms or parallel architectures. Here it is shown how previously developed systolic algorithms/architectures for recursive least squares estimation can be used for recursive total least squares problems. Unconstrained as well as linearly constrained and "mixed RLS/RTLS" problems are considered.

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