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Math Help - how to plot this unit step functions

  1. #1
    Member moonnightingale's Avatar
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    how to plot this unit step functions

    this is condition after inverse Z transform
    I want to plot it

    y[n]= u[n-1]-u[n-2]-u[n-3]+u[n-4]
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  2. #2
    MHF Contributor

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    Re: how to plot this unit step functions

    The base step function, u(x), is 0 for x< 0, 1 for x> 0 (the definition of the value at 0 varies- most often 1, sometimes 0, occasionally 1/2). So u(n-1) is 0 for n< 1, 1 for n>1, u(n- 2)= 0 for n< 2, 1 for n> 2, and so on.

    So, for n< 1, y[n]= u[n-1]-u[n-2]-u[n-3]+u[n-4] =0- 0- 0+ 0= 0.
    For 1<n< 2, y[n]= u[n-1]-u[n-2]-u[n-3]+u[n-4]= 1- 0- 0+ 0= 1.
    Get the idea? It's just adding integers!
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