A method for the direct frequency-domain deconvolution without division

Describes a frequency-domain deconvolution that uses no division and does not suffer from singular kernels. A fast computational algorithm is derived which works equally well for nonsingular as for singular kernels and has a complexity which is proportional to the fast Fourier transform (FFT). Its noise behavior is also studied statistically on real signals, showing improved performance, on average, compared to the direct frequency-domain deconvolution.<>