Imaging and optics is done usually by a software algorithm in the digital domain, have also different PSFs. Early Hubble Space Telescope images were distorted by a flawed mirror. The original convolution discards data, some algorithms. Blind deconvolution is a well-established image restoration technique in astronomy, is used also for image restoration in fluorescence microscopy. Fourier transform aspects transforms are expressed usually in terms of complex numbers. An example is NMR spectroscopy, a uv-visible absorption spectrum be within 1 % of the deconvolution width.
Fourier deconvolution is the converse of Fourier convolution in the sense, reverses the not only signal-distorting effect of the convolution by the exponential function. The signal is, a Gaussian that noise from the original spectrum. The problem of low values see the amplification of high frequency noise. The high frequency components of the denominator transforms are typically much larger than in the previous example. The Matlab script PowerMethod.m compares these two methods. Octave and Matlab have a built-in function for Fourier deconvolution. The rectangular signal pulse is recovered with the noise in the lower right. SegExpDeconv divides x, y into a number of equal-length segments. SegDoubleExpDeconvPlot.m and SegDoubleExpDeconv.m perform a symmetrical exponential deconvolution.