Direct frequency-domain deconvolution when the signals have no spectral inverse

A method for frequency-domain deconvolution when the kernel has no spectral inverse is presented. Discrete frequency interpolation is used to avoid zero-valued frequency samples. The algorithm does not suffer from the spectral singularities of the original kernal, and its complexity is proportional to that of the fast Fourier transform. A comparative noise study showed improved performance relative to the direct frequency-domain method.<>