Welcome Guest
You last visited January 21, 2017, 5:35 am
All times shown are
Eastern Time (GMT-5:00)

# New approach to Linear Filtering

Topic closed. 5 replies. Last post 10 years ago by JADELottery.

 Page 1 of 1
Stone Mountain*Georgia
United States
Member #828
November 2, 2002
10491 Posts
Offline
 Posted: November 10, 2006, 8:48 am - IP Logged

Is anyone familiar with Linear filtering analysis of dynamic systems? Conditional probability distribution functions? Convariance of random excitation....or orthogonal projections. Well ....then this might tickel your fancy a little bit.

It just occurred to me last night when I was playing pool.... and after toooo many beers ...that for any givern set of measured values N(to),...., N(t) of the random variable y(t) one can then also determine, .... in principle, the probabiltiy of simultaneous occurance of various values ζ (t) .... of the random variable .... x,(t)

Sure... I know a lot of you are gonna come back on me and start mouthing off about the "Bode-Shannon" representation and the state transition method of analysis of dynamic systems .....blah blah blah .....  but this is a conditional probability distribution function!

If anyone else has ever played around with the quadratic form associated with N x N matrix Q ..... then just give me a shout out will ya ...?  Thanks

Happy Friday !

The only real failure .....is the failure to try.

Luck is a very rare thing....... Odds not so much.

Odds never change .....but probability does.

Win d

The Carolinas - Charlotte
United States
Member #21627
September 12, 2005
4138 Posts
Offline
 Posted: November 10, 2006, 8:59 am - IP Logged

Chaz

Happy Friday to you from your border state! If you can explain this to me after you are finished, I will gladly give you a few more beers!!

The North Carolina Education Lottery - so much a joke that here are their mascots:

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
Offline
 Posted: November 11, 2006, 2:44 am - IP Logged

Interesting...  you have my attention.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
Offline
 Posted: November 11, 2006, 2:47 am - IP Logged

Also, I play pool myself, started learning seriously about 2 years ago and have an 8' table in my basement.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

Stone Mountain*Georgia
United States
Member #828
November 2, 2002
10491 Posts
Offline
 Posted: November 11, 2006, 7:37 am - IP Logged

Also, I play pool myself, started learning seriously about 2 years ago and have an 8' table in my basement.

Thank you very much for your post on the Math forum. It has been a real treat and a challenge to follow. They are a little like Jason Pollock's work to me. I really like them but I could never express such complexity so vividly ....and with such graceful terms. Thank you for your efforts. It's  a chance for me to enjoy learning about these things with a goal in mind.

The only real failure .....is the failure to try.

Luck is a very rare thing....... Odds not so much.

Odds never change .....but probability does.

Win d

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
Offline
 Posted: November 13, 2006, 7:20 am - IP Logged

hey WIN D,

Just letting you know, thinking about this one too. I think I've been work on something similar or fairly closely related. I'll probably be posting something in the next week or two. I have many projects, with the holidays coming up, I'm getting a little distracted from da math.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.