Iterative deconvolution using several different distorted versions of an unknown signal

This paper analyses the error behavior of iterative deconvolution algorithms when the distorting system has a frequency response that has negative real part or has a finite number of isolated zeros. The existence of these zeros at a finite number of discrete frequencies results in an inability of the deconvolution algorithm to restore the lost information at these frequencies with a small number of iterations. A new algorithm is suggested that incorporates multiple distorted versions of the signal and results in a restoration error that approaches zero with a small number of iterations.