Estimation of Input Vector Pair from Embedded Space Vector Corresponding to the Framework Based on Spacer Component Matrices: A Constrained Optimization based Approach

The research study involves estimation of an input pair of vectors 1 1 ( , ) m n m n x R y R     corresponding to an embedded space vector 1 s s b R   where “ s ” is the embedding dimension corresponding to the input dimension pair ( , ) m n .The estimation of the vector pair involves solving a euclidean norm minimization problem, constrained over a convex hull generated by a finite subset of solutions of an associated linear system of equations. The research initiative presents the mathematical formulation of the estimation framework and illustrates the presented methodology through appropriately chosen numerical case study examples.