This algorithm separates a subset of the zeros belonging to the Z-transform of a convolution, of finite extent and finite energy, into two further subsets. One of these subsets contains the zeros pertaining to
The idea is simple: we can write a system’s response using a Z-transform. Then, some semi-analytical solutions (often involving circular integrals) compute a system with the exact inverse response. Those methods are not very easy and require quite a lot of theoretical background – and...
This added two more equations to the standard Euler equation that led to more stable solutions and also allowed for the independent determination of the SI N since the Hilbert transform of a constant background is zero. Thus, in using the extended Euler deconvolution, we can consider the SI ...
Using the same example as before and 1.518 as the refractive index, this is 813 nm. Nyquist sampling theorem tells us that our Z-step size should therefore be no larger than 406.5 nm, or 0.4 µm. The take-home message is this: The more information that can be provided to the deconv...
When using an empirical PSF, it is critical to use a high-quality PSF with minimal noise. To achieve this, commercial software packages contain preprocessing routines that reduce noise and enforce radial symmetry by averaging the Fourier transform of the PSF. Many software packages also enforce axi...
Residence time distribution of liquid flow in a trickle bed evaluated using FFT deconvolution with coordinated smoothingResidence time distributiondeconvolutionnoise filteringtrickle beddiscrete Fast Fourier TransformAn approach or deconvolution by the Fast Fourier Transform (FFT) is applied to analyze the ...
This is known as the Compton-Getting transforma- tion [Compton and Getting, 1935]. We have fit data from the MEH instrument [Meyer and Evenson, 1978; Kroeger, 1986] on board the ISEE 3 spacecraft, which are collected in eight orientational sectors as the in- strument's field of view ...
wherefis the input degenerated image,Adenotes the blur kernel in the matrix form,xis the recovered image,Wdenotes the framelet transform,Cdenotes the curvelet transform,λ1andλ2are two regularization parameters, ||·||1and ||·||2notations denote thel1andl2norm, respectively. Reducing the val...
It is valid only for pulses whose Z-transform has no zeros on the unit circle. That is, the ampl... MJ Porsani,B Ursin - 《Geophysics》 被引量: 98发表: 1998年 Nonminimum phase channel deconvolution using the complex cepstrum of the cyclic autocorrelation New discrete time blind ...
Connectional neuroanatomical maps can be generated in vivo by using diffusion-weighted magnetic resonance imaging (dMRI) data, and their representation as structural connectome (SC) atlases adopts network-based brain analysis methods. We explain the gene