Who Invented the Z Transform
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From: Clay S. Turner on 4 Jul 2005 15:36 "Sanctus" <sanctus(a)upthere.com> wrote in message news:FyWxe.12312$U4.1524914(a)news.xtra.co.nz... > > "John E. Hadstate" <jh113355(a)hotmail.com> wrote in message > news:J89xe.13711$Tt.10257(a)bignews3.bellsouth.net... >> >> "Sanctus" <sanctus(a)upthere.com> wrote in message >> news:8e7xe.11826$U4.1484931(a)news.xtra.co.nz... >> > >> > "Andor" <an2or(a)mailcircuit.com> wrote in message >> > news:1120204205.455249.101130(a)f14g2000cwb.googlegroups.com... >> >> Wasn't there this Russian ... ? >> >> >> >> :-) >> >> >> > There was a Russian who also discovered the sampling >> > theorem. >> > >> > Sanctus >> > >> > >> >> Nyquist -- Swedish -- 1927 >> >> > So what did Shannon do? > > Sanctus > > He formalized the already known results (due to Whitaker, Kotelnikov, Hartley, and Nyquist) and mentions at the front of one of his papers on sampling that these ideas are known to anyone skilled in the art. But he is the one that connects them together in a formal sense. Also he goes on to define entropy (as applied to information and not thermodynamics) and then provides both the noiseless and noisy coding theorems, both of which are completely new. Clay "A Mathematical Theory of Communication" A must read for DSPers http://cm.bell-labs.com/cm/ms/what/shannonday/shannon1948.pdf His complete bibliography: http://www.research.att.com/~njas/doc/shannonbib.html
From: eunometic on 1 Aug 2005 01:15 I got into this thread late: but it wasn't Laplace that invented the S-transform: it was Olover Heavaside. It's sometimes called the Heaviside Transform. Pure mathematicians rejected his work because of a lack of proof to their expected standards but engineers used it becuase it worked. Engineers still use Heaviside Functions albeit modified to conform more to the pure mathematicians Laplace transform. Hilbert Transforms were ofcourse developed by Hilbert and the Dirac delta by Dirac. Hilbert incidently had developed relativity before Einstein: Einstein who had read Hilberts papers simply 'gazzumped' him to publication and has been reaping the publicity since.
From: bhooshaniyer on 1 Aug 2005 06:45 Gee, is it me or did we a thread on the same lines like a couple of months back? I clicked on the links Jerry provided to read about Witold Hurewicz and it felt like a second coming. Or did I belong in my previous birth? --Bhooshan This message was sent using the Comp.DSP web interface on www.DSPRelated.com
From: Clay S. Turner on 1 Aug 2005 09:01 <eunometic(a)yahoo.com.au> wrote in message news:1122873344.917693.210890(a)g14g2000cwa.googlegroups.com... > > Hilbert Transforms were ofcourse developed by Hilbert and the Dirac > delta by Dirac. The "delta function" came before Dirac, but it was little known. He popularized the concept and showed how useful it can be to applications in quantum mechanics. > Hilbert incidently had developed relativity before > Einstein: Einstein who had read Hilberts papers simply 'gazzumped' him > to publication and has been reaping the publicity since. Really? Which aspects of relativity theory did David Hilbert invent? Clay
From: Gordon Sande on 1 Aug 2005 09:19
Clay S. Turner wrote: > <eunometic(a)yahoo.com.au> wrote in message > news:1122873344.917693.210890(a)g14g2000cwa.googlegroups.com... > >>Hilbert Transforms were ofcourse developed by Hilbert and the Dirac >>delta by Dirac. > > > The "delta function" came before Dirac, but it was little known. He > popularized the concept and showed how useful it can be to applications in > quantum mechanics. > > > > >>Hilbert incidently had developed relativity before >>Einstein: Einstein who had read Hilberts papers simply 'gazzumped' him >>to publication and has been reaping the publicity since. > > > Really? Which aspects of relativity theory did David Hilbert invent? > > > Clay > > Most detailed histories of almost any scientific activity show that there was someone who did some piece of work and another who later realized that it had a much broader scope. The recognition tends to go to the worker who realizes the importance. All of the Maxwell equations were know before Maxwell but they had not been collected into a system to provide a common example of this. Einstein's special relativity used the known Lorentz transformation. > > > |