Parameter identification of discrete systems via discrete Legendre polynomials (Q1083413)

This paper presents a new method for the parameter identification of linear time-invariant discrete systems with single input and single output. Using a well-constructed transformation matrix, the input and output data sequences are first transformed into discrete Legendre spectrum sequences. Performing the spectrum matching process, the parameter identification problem becomes the solution of a set of overdetermined linear algebraic equations. Examples are given to demonstrate the accuracy of the new method.