An efficient Laplace domain deconvolution method for dynamic systems

Traditional methods for solving deconvolution problems have typically been limited to the frequency and time domains, often encountering significant challenges. By contrast, this paper introduces a novel and efficient deconvolution method in the Laplace domain, using pole–residue operations. The proposed approach estimates the input signal from a sampled output signal and a known impulse response function (IRF), which can be in either analytical pole–residue form or a numerically known signal. This method formulates a set of well-conditioned simultaneous linear equations to solve for the unknown input, with the coefficients derived from the poles and residues of the given IRF and the right-hand side vector being the sampled output signal. The effectiveness of the proposed method is demonstrated through two numerical examples, including a practical engineering problem involving an offshore wind turbine subjected to highly irregular wind loading.