Wavelet-based Deconvolution for System Identification

In many practical applications, we are given access to the input and ouput of a system whose
characteristics are unknown. The term ‘deconvolution’ is used to describe the operation of separating the input
function from the characteristics of the system we intend to identify. Conventional techniques for deconvolution
based on direct Fourier or Laplace transfoms suffer from the ill-conditioned nature of the problem in the presence
of noise. The aim of this project is to develop and implement a robust deconvolution technique based on wavelets
and study its performance as compared with other conventional techniques. An appreciation of Matlab and
numerical computation skills would be desirable.