hi all,
can anybody explain what this line indicate "Euclidean Distance
in Hyperspace". Euclidean distance i have seen in many funda books, but
how does that map onto hyperspace.
please do provide with some answers
regards
particlereddy
Euclidean Distance in Hyperspace
Started by ●October 9, 2006
Reply by ●October 9, 20062006-10-09
PARTICLEREDDY (STRAYDOG) wrote:> hi all, > can anybody explain what this line indicate "Euclidean Distance > in Hyperspace". Euclidean distance i have seen in many funda books, but > how does that map onto hyperspace. > > please do provide with some answersFor one dimension, distance = sqrt(x^2). For two, sqrt(x^2 + y^2). For three, sqrt(x^2 + y^2 + z^2). For 4, sqrt(w^2 + x^2 + y^2 + z^2). Can you extrapolate from there? Jerry -- "The rights of the best of men are secured only as the rights of the vilest and most abhorrent are protected." - Chief Justice Charles Evans Hughes, 1927 ���������������������������������������������������������������������
Reply by ●October 9, 20062006-10-09
thanks jerry for the answers and hints, yes i got the thing you told like......... ok i would tell the fact itself actually i am looking at paper Regular Section -- Letters -- Wireless Communication Technologies Automatic Digital Modulation Recognition Based on Euclidean Distance in Hyperspace* Ji LI1, Chen HE1, Jie CHEN1 and Dongjian WANG1 1 The authors are with the Dept. of Electronic Eng., Shanghai Jiaotong Univ., China. E-mail: jili@sjtu.edu.cn so in this case, i am just looking at the way they could have build the hyperspace, but if you see any constellation point (euclidean distances terminology exists here). we have x and y. i wonder in what way they could have constructed the hyperspace. i dont have the paper, i have to see and study it thanks for the answer regards particle (filter) reddy. Jerry Avins wrote:> PARTICLEREDDY (STRAYDOG) wrote: > > hi all, > > can anybody explain what this line indicate "Euclidean Distance > > in Hyperspace". Euclidean distance i have seen in many funda books, but > > how does that map onto hyperspace. > > > > please do provide with some answers > > For one dimension, distance =3D sqrt(x^2). For two, sqrt(x^2 + y^2). For > three, sqrt(x^2 + y^2 + z^2). For 4, sqrt(w^2 + x^2 + y^2 + z^2). Can > you extrapolate from there? > > Jerry > -- > "The rights of the best of men are secured only as the > rights of the vilest and most abhorrent are protected." > - Chief Justice Charles Evans Hughes, 1927 > =AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF==AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF= =AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF=AF
Reply by ●October 9, 20062006-10-09
PARTICLEREDDY (STRAYDOG) skrev:> thanks jerry for the answers and hints, yes i got the thing you told > > like......... > > ok i would tell the fact itself > > actually i am looking at paper > > Regular Section -- Letters -- Wireless Communication Technologies > Automatic Digital Modulation Recognition Based on Euclidean Distance in > Hyperspace* > Ji LI1, Chen HE1, Jie CHEN1 and Dongjian WANG1 > > 1 The authors are with the Dept. of Electronic Eng., Shanghai Jiaotong > Univ., China. E-mail: xxxx@xxxx.xxx.xxNever never never EVER post somebody else's email address in public! If you ever have to send emails to lots of people, use BCC rather than CC lists. Published web pages and usenet posts are among the richest sources of email addresses to spambots. Before you ask: The email address in my posts (which needed to be valid, as I post through google) has been obsolete for three years now.> so in this case, i am just looking at the way they could have build the > hyperspace, but if you see any constellation point (euclidean distances > terminology exists here). we have x and y. > i wonder in what way they could have constructed the hyperspace."Hyperspace" has nothing to do with Star Wars, "signal subspaces" don't have anything to do with Star Trek. Such terms come for "generalized geometry". Everybody know geometry in 2D and 3D. In high school we learned how to handle vectors in 2D and 3D. Distances, projections, intersections, planes, curves -- all of it pretty intuitive in 2D and 3D. Now, all that maths works in ND too, even when N > 3. The problem is that we humans don't have the intuition to really "see" what these structures look like. And so, people come up with terms like "hyperspace". So the term "hyperspace" probably only means that the authors collect N samples in a vector, and uses the operations familar from 2D and 3D geometry to manipulate it. Rune
Reply by ●October 9, 20062006-10-09
"Rune Allnor" <allnor@tele.ntnu.no> writes:> [...] > "signal subspaces" don't have anything to do with Star Trek.Really? So I should stop looking for the chapter on "subspace radio" in Proakis? ... -- % Randy Yates % "With time with what you've learned, %% Fuquay-Varina, NC % they'll kiss the ground you walk %%% 919-577-9882 % upon." %%%% <yates@ieee.org> % '21st Century Man', *Time*, ELO http://home.earthlink.net/~yatescr
Reply by ●October 9, 20062006-10-09
Randy Yates wrote:> "Rune Allnor" <allnor@tele.ntnu.no> writes: > > [...] > > "signal subspaces" don't have anything to do with Star Trek. > > Really? So I should stop looking for the chapter on "subspace radio" > in Proakis? ...My 1983 copy of Proakis has it in Chapter 12! Ciao, Peter K.
Reply by ●October 9, 20062006-10-09
"Peter K." <p.kootsookos@iolfree.ie> writes:> Randy Yates wrote: >> "Rune Allnor" <allnor@tele.ntnu.no> writes: >> > [...] >> > "signal subspaces" don't have anything to do with Star Trek. >> >> Really? So I should stop looking for the chapter on "subspace radio" >> in Proakis? ... > > My 1983 copy of Proakis has it in Chapter 12!Really?!? Are you serious? Do you mean the DSP Proakis or the Digital Comm. Proakis? What edition is that? Maybe I can get a line to Lt. Uhura after all these years after all! -- % Randy Yates % "Though you ride on the wheels of tomorrow, %% Fuquay-Varina, NC % you still wander the fields of your %%% 919-577-9882 % sorrow." %%%% <yates@ieee.org> % '21st Century Man', *Time*, ELO http://home.earthlink.net/~yatescr
Reply by ●October 9, 20062006-10-09
Randy Yates wrote:> Really?!? Are you serious? Do you mean the DSP Proakis or the > Digital Comm. Proakis? What edition is that? Maybe I can get > a line to Lt. Uhura after all these years after all!Beam me up, Randy. Ciao, Peter K. PS :-)
Reply by ●October 10, 20062006-10-10
thanks for the answers
when i read and clearly understand the
paper mentioned, i will post in this forum as what he meant by
hyperspace with consideration of euclidean distance involving
constellation points.
regards
particle (filter) reddy
Reply by ●October 10, 20062006-10-10
Peter K. skrev:> Randy Yates wrote: > > > Really?!? Are you serious? Do you mean the DSP Proakis or the > > Digital Comm. Proakis? What edition is that? Maybe I can get > > a line to Lt. Uhura after all these years after all! > > Beam me up, Randy.< MUSIC playing, Peter K on to the bridge in good ESPRIT and off into subspace he goes > Rune
