What's a kernel? Where a dog lives! I hear many people using the word here on an engineering group. It never got mentioned when I was a student of engineering even though we did a fair amount of maths. My friends who were maths people knew all about it though. It it the same as impulse response in a discrete convolution or is its generalisation to time-varying systems?Is there an engineering term to use instead? Its like stats people use standard deviation when we use rms or they use variance when we use average power (for dc-free signals of course). Tom
What's a kernel?
Started by ●October 6, 2003
Reply by ●October 6, 20032003-10-06
On Tue, 07 Oct 2003 13:07:51 +1300, Tom <somebody@nOpam.com> wrote in comp.dsp:> What's a kernel? Where a dog lives! I hear many people using the word > here on an engineering group. It never got mentioned when I was a > student of engineering even though we did a fair amount of maths. My > friends who were maths people knew all about it though. It it the same > as impulse response in a discrete convolution or is its generalisation > to time-varying systems?Is there an engineering term to use instead? Its > like stats people use standard deviation when we use rms or they use > variance when we use average power (for dc-free signals of course). > > Tom >http://www.cnet.com/Resources/Info/Glossary/Terms/kernel.html -- Jack Klein Home: http://JK-Technology.Com FAQs for comp.lang.c http://www.eskimo.com/~scs/C-faq/top.html comp.lang.c++ http://www.parashift.com/c++-faq-lite/ alt.comp.lang.learn.c-c++ ftp://snurse-l.org/pub/acllc-c++/faq
Reply by ●October 7, 20032003-10-07
In article gc64ovk0jla3qrlvs5elk2j7jlm2i5bjea@4ax.com, Jack Klein at jackklein@spamcop.net wrote on 10/06/2003 21:40:> On Tue, 07 Oct 2003 13:07:51 +1300, Tom <somebody@nOpam.com> wrote in > comp.dsp: > >> What's a kernel? Where a dog lives! I hear many people using the word >> here on an engineering group. It never got mentioned when I was a >> student of engineering even though we did a fair amount of maths. My >> friends who were maths people knew all about it though. It it the same >> as impulse response in a discrete convolution or is its generalisation >> to time-varying systems?Is there an engineering term to use instead? Its >> like stats people use standard deviation when we use rms or they use >> variance when we use average power (for dc-free signals of course). > > http://www.cnet.com/Resources/Info/Glossary/Terms/kernel.htmlthere are many more definitions than that one. essentially the "kernal" of some process or investigation or something is the "core" or "essence" of it. so i guess the kernel of a Linear Time-Invariant system would be the impulse response of it since its behavior for any other input can be computed given that input and the impulse response. the impulse response or "kernel" of the system completely and succinctly describes the system. r b-j
Reply by ●October 7, 20032003-10-07
robert bristow-johnson wrote:> In article gc64ovk0jla3qrlvs5elk2j7jlm2i5bjea@4ax.com, Jack Klein at > jackklein@spamcop.net wrote on 10/06/2003 21:40: > > >>On Tue, 07 Oct 2003 13:07:51 +1300, Tom <somebody@nOpam.com> wrote in >>comp.dsp: >> >> >>>What's a kernel? Where a dog lives! I hear many people using the word >>>here on an engineering group. It never got mentioned when I was a >>>student of engineering even though we did a fair amount of maths. My >>>friends who were maths people knew all about it though. It it the same >>>as impulse response in a discrete convolution or is its generalisation >>>to time-varying systems?Is there an engineering term to use instead? Its >>>like stats people use standard deviation when we use rms or they use >>>variance when we use average power (for dc-free signals of course). >> >>http://www.cnet.com/Resources/Info/Glossary/Terms/kernel.html > > > there are many more definitions than that one. essentially the "kernal" of > some process or investigation or something is the "core" or "essence" of it. > so i guess the kernel of a Linear Time-Invariant system would be the impulse > response of it since its behavior for any other input can be computed given > that input and the impulse response. the impulse response or "kernel" of > the system completely and succinctly describes the system. > > r b-j >To put it in a nut shell! :-) Jerry -- "I view the progress of science as ... the slow erosion of the tendency to dichotomize." Barbara Smuts, U. Mich. ���������������������������������������������������������������������
Reply by ●October 7, 20032003-10-07
On Tue, 7 Oct 2003, Tom wrote:> What's a kernel?For a continous system characterized by b f(t) = integrate F(s)K(s,t)ds a The kernel is the function K(s,t) where for example F(s) denotes the signal sent from the source and f(t) denotes the received signal at the destination. The kernel of a Fourier transform is exp(2*pi*i*s*t). For a discrete system characterized by y = Ax, the kernel is usually defined as the nullspace of A (the solution space of y = Ax = 0). It is odd that the continous and discrete definitions are incompatible with each other. Any comments? Tak-Shing
Reply by ●October 8, 20032003-10-08
hey Jerry, i almost forgot to mention it: i'll be in NYC again for the AES for nearly a week starting day ofter next (and this time i think i'll be less grumpy than 2 years ago). wanna come into the city sometime? anyother comp.dspers (other than Al, i know he's coming) gonna stop in at the AES convention? just curious. r b-j In article blun4c$1b8$2@bob.news.rcn.net, Jerry Avins at jya@ieee.org wrote on 10/07/2003 11:46:> robert bristow-johnson wrote: > >> In article gc64ovk0jla3qrlvs5elk2j7jlm2i5bjea@4ax.com, Jack Klein at >> jackklein@spamcop.net wrote on 10/06/2003 21:40: >> >> >>> On Tue, 07 Oct 2003 13:07:51 +1300, Tom <somebody@nOpam.com> wrote in >>> comp.dsp: >>> >>> >>>> What's a kernel? Where a dog lives! I hear many people using the word >>>> here on an engineering group. It never got mentioned when I was a >>>> student of engineering even though we did a fair amount of maths. My >>>> friends who were maths people knew all about it though. It it the same >>>> as impulse response in a discrete convolution or is its generalisation >>>> to time-varying systems?Is there an engineering term to use instead? Its >>>> like stats people use standard deviation when we use rms or they use >>>> variance when we use average power (for dc-free signals of course). >>> >>> http://www.cnet.com/Resources/Info/Glossary/Terms/kernel.html >> >> >> there are many more definitions than that one. essentially the "kernal" of >> some process or investigation or something is the "core" or "essence" of it. >> so i guess the kernel of a Linear Time-Invariant system would be the impulse >> response of it since its behavior for any other input can be computed given >> that input and the impulse response. the impulse response or "kernel" of >> the system completely and succinctly describes the system. >> >> r b-j >> > To put it in a nut shell! :-) > > Jerry
Reply by ●October 9, 20032003-10-09
robert bristow-johnson wrote:> hey Jerry, > > i almost forgot to mention it: i'll be in NYC again for the AES for nearly > a week starting day ofter next (and this time i think i'll be less grumpy > than 2 years ago). wanna come into the city sometime? > > anyother comp.dspers (other than Al, i know he's coming) gonna stop in at > the AES convention? > > just curious. > > r b-jHi guys, I wish I could, but can't find the time unfortunately. Daniel will be there (as always :). Are you going to come to Europe one of these AESses? Have fun! Andor
Reply by ●October 10, 20032003-10-10
On Wed, 8 Oct 2003, robert bristow-johnson wrote:> anyother comp.dspers (other than Al, i know he's coming) gonna stop in at > the AES convention?Dr. Michael Casey (my co-supervisor) should be there now... Tak-Shing
Reply by ●October 15, 20032003-10-15
In article Pine.GSO.4.33.0310101710290.27298-100000@swindon, Tak-Shing Chan at es728@city.ac.uk wrote on 10/10/2003 12:18:> On Wed, 8 Oct 2003, robert bristow-johnson wrote: > >> anyother comp.dspers (other than Al, i know he's coming) gonna stop in at >> the AES convention? > > Dr. Michael Casey (my co-supervisor) should be there now...well, i missed him (as far as i know). how is it working for 2 bosses? does it ever get hard to satisfy both? r b-j
Reply by ●October 16, 20032003-10-16
On Wed, 15 Oct 2003, robert bristow-johnson wrote:> In article Pine.GSO.4.33.0310101710290.27298-100000@swindon, Tak-Shing Chan > at es728@city.ac.uk wrote on 10/10/2003 12:18: > >> On Wed, 8 Oct 2003, robert bristow-johnson wrote: >> >>> anyother comp.dspers (other than Al, i know he's coming) gonna stop in at >>> the AES convention? >> >> Dr. Michael Casey (my co-supervisor) should be there now... > > well, i missed him (as far as i know). > > how is it working for 2 bosses? does it ever get hard to satisfy both?Oh, it is not work--I am currently persuing a research degree under his co-supervision. Of course it is hard to satisfy both, as both have high standards, but they are also very supportive and are constantly trying to push me forward. Tak-Shing
