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  1. #1
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    difference between orthogonal and orthonormal

    Hey, I have a question, what is the difference between Orthogonal and Orthonormal?

    Do they mean same thing? Like the inner product is equal to zero

    •   Alt21st April 2009, 16:49

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    orthogonal and orthonormal signals

    orthogonal as u said

    but orthonormal is orthogonal and normalized at same time


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    •   Alt21st April 2009, 22:58

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    orthogonal perpendicular difference

    please elaborate. what do you mean by "orthogonal & normailized at the same time"



    •   Alt22nd April 2009, 05:36

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    orthogonal mean the same as orthonormal

    Orthogonal mean that the dot product is null.
    Orthonormal mean that the dot product is null and the norm is equal to 1.

    If two or more vectors are orthonormal they are also orthogonal but the inverse is not true.


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    difference orthogonal orthonormal

    what is "norm" what are its benefits?

    I've seen it being used many time in place of square of a vector of variables



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    convert orthogonal to orthonormal function

    norm(u) is defined by <u,u> where <,> is a dot product and u a vector.
    A norm depends on the dot product you chose to use.

    What do you mean by "the benefits of the norm"?



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    difference between orthorgonal and orthonormal

    first the using of orthonormal as basis functions so it should be normalized

    and when we do dot product of two orthogonal functions the result is zero

    but when we do dot product for orthogonal function with itself the result will be constant or 1 if they normalized

    so it is easier to use orthonormal from beginning to simplify the computations

    refer to signal space
    when we use orthonormal functions as basis functions so the amplitude of signal is square root of signal -will get the meaningful representation of signal -in direction of this basis

    and for any other signal,u need to get the projection in this basis u need to get ratio between two amplitudes -signal and basis function if the basis function is not normalized-



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    orthogonal and orthonormal functions

    Hi,

    Orthonormal means orthogonal (perpendicular) and the length of that vector equals to one.

    Regards



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