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Homework Help: 2D FIR Filter & Finite Decomposition

  1. Feb 18, 2013 #1
    Hi All,

    I would like to know how can I call or express the following process!

    I use a (3x3) 2D FIR Filter for imaging processing with DC = 0, like this:

    0 1 1
    2 O 2 /8
    1 1 0

    My filter is such that I can decompose it into finite sates, as my image (medical)
    can take 9 finite state (from 0 to 8 ). So instead of having 1 linear FIR filter for
    all the states, I have a "FIR" filter for each state. I decompose my filter like that,
    where H? is the state

    H1 = 0 0 0
    0 0 1
    0 0 0

    H2 = 0 0 0
    1 0 1
    0 0 0

    H3 = 0 0 0
    1 0 1
    0 1 0

    H4 = 0 1 0
    1 0 1
    0 1 0

    H5 = 0 1 1
    1 0 1
    0 1 0

    H6 = 0 1 1
    1 0 1
    1 1 0

    H7 = 0 1 1
    2 0 1
    1 1 0

    H8 = 0 1 1
    2 0 2
    1 1 0

    Obviously, there is no filter for H0, and I notice that it result in a smoother filtration.

    I would like to know if there is a term to describe this process?
    How can I call it? (is it related to polyphase FIR?)

    Where can I find documentation regarding such a process?

    Thanks a lot for your help
     
  2. jcsd
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