Reply to thread

Message

<blockquote data-quote="Channel Hopper" data-source="post: 932587" data-attributes="member: 175144">or how to focus an object that is fuzzy.In general, the object of deconvolution is to find the solution of a convolution equation of the form:&nbsp;<img src="https://upload.wikimedia.org/math/3/2/5/32561c4d698de148506c52c4598660cc.png" alt="" class="fr-fic fr-dii fr-draggable " style="" />&nbsp;Usually, h is some recorded signal, and ƒ is some signal that we wish to recover, but has been convolved with some other signal g before we recorded it. The function g might represent the <a href="https://en.wikipedia.org/wiki/Transfer_function" target="_blank">transfer function</a> of an instrument or a driving force that was applied to a physical system. If we know g, or at least know the form of g, then we can perform deterministic deconvolution. However, if we do not know g in advance, then we need to estimate it. This is most often done using methods of <a href="https://en.wikipedia.org/wiki/Statistics" target="_blank">statistical</a> <a href="https://en.wikipedia.org/wiki/Estimation_theory" target="_blank">estimation</a>.<a href="http://terpconnect.umd.edu/~toh/spectrum/Deconvolution.html" target="_blank">http://terpconnect.umd.edu/~toh/spectrum/Deconvolution.html</a></blockquote>

[QUOTE="Channel Hopper, post: 932587, member: 175144"] or how to focus an object that is fuzzy.[I] In general, the object of deconvolution is to find the solution of a convolution equation of the form: [IMG]https://upload.wikimedia.org/math/3/2/5/32561c4d698de148506c52c4598660cc.png[/IMG] Usually, h is some recorded signal, and ƒ is some signal that we wish to recover, but has been convolved with some other signal g before we recorded it. The function g might represent the [URL='https://en.wikipedia.org/wiki/Transfer_function']transfer function[/URL] of an instrument or a driving force that was applied to a physical system. If we know g, or at least know the form of g, then we can perform deterministic deconvolution. However, if we do not know g in advance, then we need to estimate it. This is most often done using methods of [URL='https://en.wikipedia.org/wiki/Statistics']statistical[/URL] [URL='https://en.wikipedia.org/wiki/Estimation_theory']estimation[/URL].[/I] [url]http://terpconnect.umd.edu/~toh/spectrum/Deconvolution.html[/url] [/QUOTE]

Verification