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New approach to Linear Filtering

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

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WIN  D's avatar - q05Q0
Stone Mountain*Georgia
United States
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November 2, 2002
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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 ! Wink

 

 

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    

    cps10's avatar - Lottery-004.jpg
    The Carolinas - Charlotte
    United States
    Member #21627
    September 12, 2005
    4138 Posts
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    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!!

     

    Cheers

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

    Stooges

      JADELottery's avatar - YingYangYong 01.PNG
      The Quantum Master
      West Concord, MN
      United States
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      December 7, 2001
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      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.
      Use at your own risk.

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

        JADELottery's avatar - YingYangYong 01.PNG
        The Quantum Master
        West Concord, MN
        United States
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        December 7, 2001
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        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.
        Use at your own risk.

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

          WIN  D's avatar - q05Q0
          Stone Mountain*Georgia
          United States
          Member #828
          November 2, 2002
          10491 Posts
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          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.

           You are the man Jade.... 

           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    

            JADELottery's avatar - YingYangYong 01.PNG
            The Quantum Master
            West Concord, MN
            United States
            Member #21
            December 7, 2001
            3684 Posts
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            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.
            Use at your own risk.

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