Blind deconvolution is an ubiquitous non-linear inverse problem in applications like wireless communications and image processing. This problem is generally ill-posed, and there have been efforts to use sparse models for regularizing blind deconvolution to promote signal identifiability. Part I of this two-part paper characterizes the ambiguity space of blind deconvolution and shows unidentifia...

We review some of the important results on deconvolution, particularly the multichannel deconvolution problem, for the setting of Euclidean space, focusing on the central role of the Hörmander strongly coprime condition in this area of analysis. We then address the problem of deconvolution in the Heisenberg group setting, beginning with the results of [16]. We also extend the results of [16] to...

Convolution and Deconvolution is having wide area of application in Digital Signal Processing. Convolution helps to estimate the output of a system with arbitrary input, with knowledge of impulse response of the system. Linear systems characteristics are completely specified by the systems impulse response, as governed by the mathematics of convolution. And with the knowledge of impulse respons...

Image deconvolution is a challenging ill-posed problem when only partial information of the blur kernel is available. Certain regularization on sharp images has to be imposed to constrain the estimation of true images during the blind deconvolution process. Based on the observation that an image of sharp edges tends to minimize the ratio between the `1 norm and the `2 norm of its wavelet frame ...

This paper addresses the blind deconvolution of multi-input– multi-output (MIMO) FIR systems driven by white non-Gaussian source signals. First, we present a weaker condition on source signals than the so-called i.i.d. condition so that blind deconvolution is possible. Then, under this condition, we provide a necessary and sufficient condition for blind deconvolution of MIMO FIR systems. Finall...

Multichannel blind deconvolution has received increasing attention during the last decade. Recently, Martone [3, 4] extended the super-exponential method proposed by Shalvi and Weinstein [1, 2] for single-channel blind deconvolution to multichannel blind deconvolution. However, the Martone extension suffers from two type of serious drawbacks. The objective of this paper is to obviate these draw...

We constructed a hybrid replication origin that consists of the main part of oriC from Escherichia coli, the DnaA box region and the AT-rich region from Bacillus subtilis oriC. The AT-rich region could be unwound by E. coli DnaA protein, and the DnaB helicase was loaded into the single-stranded bubble. The results show that species specificity, i.e. which DnaA protein can do the unwinding, resi...

of remarks by Karen Horney as moderator of a discussion of Dr. Kondo's paper on Morita Therapy at a meeting of the Association for the Advancement of Psychoanalysis held on 9 November 1952. American Journal of Psychoanalysis, 13: 8788. 1956 Evolutionary Psychotherapy [An interview of Karen Horney by Werner Wolff, "Therapy of Interpersonal Relationships"]. In Werner Wolff, Contemporary Psychothe...