Method and system for rapid identification of multiple input systems

摘要

The disclosure describes techniques for determining the response characteristics of a system. One such technique includes applying a series of M vector probe input signal sets of a form {overscore (V)}_m x(t) to the system, wherein {overscore (V)}_m is an m-th column of a matrix V and x(t) is a scalar input signal. The response signals {overscore (y)}_t are measured and a single-input system {overscore (F)}_m(z) is determined by considering the approximate relationship {overscore (y)}_z≈{overscore (F)}_m(z)x(z), where {overscore (F)}_m(z) is an m-th column of a matrix F(z). The system characteristics can be determined from the relationship H(z)=F(z)V⁻¹, where V⁻¹ denotes the right-matrix-inverse of the matrix V. The matrix V may be a matrix with mutually orthogonal rows, or may have entries consisting of plus one and minus one values, or may be a portion of a Hadamard matrix.