signal and system

Discussion in 'Homework Help' started by micro1, Apr 5, 2015.

  1. micro1

    Thread Starter Member

    Feb 22, 2015
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    hello every one

    signal and system

    properties of system Linearity

    I did my problem

    you can check my solution it is true?
     
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    Last edited: Apr 6, 2015
  2. WBahn

    Moderator

    Mar 31, 2012
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    I'm assuming that you mean

    y[n] = x²[n-1]

    If so, then this says that the present value of y is equal to the square of the previous value of x.

    This is NOT the same as

    y[n] = x²[n] - x²

    This says that the current value of y is equal to the square of the current value of x minus the square of something that is not even at a defined time.
     
  3. micro1

    Thread Starter Member

    Feb 22, 2015
    52
    0
    if change the equation to

    X1 = X1 [ Xn - X ]

    X2 = X2 [ Xn -X ]

    X3 = X1 +X2 ==> ( X1 [ Xn - X ] + X2 [ Xn -X ] )

    X3 = X3 [ Xn -X ]


    X3 = X1 +X2 ( linearity)


    thank you for reply
     
  4. WBahn

    Moderator

    Mar 31, 2012
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    So, if you had the continuous time signal

    y(t) = x²(t-1sec)

    are you saying that you would rewrite this as

    y(t) = x(x·t - x·1sec)

    Does that make ANY sense whatsoever?
     
    Last edited: Apr 6, 2015
  5. micro1

    Thread Starter Member

    Feb 22, 2015
    52
    0
    ok, now is linearity and nonlinearity?:)
     
  6. djsfantasi

    AAC Fanatic!

    Apr 11, 2010
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    "I don't even know what I am talking about!" - Bud Abbott

    ...meaning I have the same doubts as WBahn
     
    Last edited: Apr 6, 2015
  7. WBahn

    Moderator

    Mar 31, 2012
    17,715
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    There is no point moving on to the distinction of linear and non-linear systems until you are clear on what a system is to begin with.
     
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