DISCRETE ORTHOGONAL POLYNOMIAL DECONVOLUTION FOR TIME-VARYING SYSTEMS

Discrete orthogonal polynomial deconvolution (DOPD) has been demonstra ted to be a robust method for obtaining the inverse solution for time- invariant systems. In this communication, extension of the method to t ime-varying linear systems is explored. The operator based nature of D OPD lends itself to application to linear time-varying systems express ible as an operator matrix. The stability and noise tolerance characte ristics of time-invariant DOPD are demonstrated to apply to time-varyi ng systems. A priori estimation of the quality of the inverse solution is possible if the characteristics of noise in the forward solution c an be estimated. For time-varying linear systems having a region of ba sis function support approximately congruent to the support region of the transfer function, and for which there is sufficient a priori know ledge of the system, DOPD provides an efficient and noise tolerant met hod of inverse solution.