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Signals and systems electrical engineering miscellaneous

  1. Given Z-transform,
    X(z) = 3z² -
    1
    z , |z| > 4
    4
    z² - 16

    The time signal x(t) will be
    1. 49
      (-4)n +
      47
      (-4)n u[n]
      3232
    2. 49
      4n +
      47
      4n u[n]
      3232
    3. 49
      (-4)n u[-n] +
      47
      4n u[n]
      3232
    4. 49
      4n u[n] +
      47
      (-4)n u[-n]
      3232
Correct Option: A

X(z) = 3z² -
1
z-1 =
49
=
47
432
32
z² - 161 + 4z-11 - 4z-1

⇒ x[n] =
49
(-4)n +
47
4n u[n]
3232



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