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Quiz: DSP - Z Transform

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Number of Questions: 24

Question: 16 -

If x(n)=an, then what is one sided z-transform of x(n+2)?

Options:

  1. (z−2/(1−az−1 ))+ a-1z-1 + a-2

  2. (z−2/(1−az−1 ))- a-1z-1 + a-2

  3. (z−2/(1−az−1 ))+ az + a-2

  4. (z2/(1−az−1 ))- z2 - az

    5. Answer:

    (z2/(1−az−1 ))- z2 - az
    Solution not available.

Question: 17 -

The several ways to perform an inverse Z transform are

1) Direct computation

2) Long division

3) Partial fraction expansion with table lookup

4) Direct inversio

Options:

  1. All the four are correct

  2. 1, 2 and 3 are correct

  3. 2 and 3 are correct

  4. 1 and 2 are correct

    5. Answer:

    All the four are correct
    Solution not available.

Question: 18 -

What is the one sided z-transform X+(z) of the signal x(n)={1,2,5↑,7,0,1}?

Options:

  1. z2+2z+5+7z-1+z-3

  2. 5+7z+z3

  3. 5+7z-1+z-3

  4. z-2+2z-1+5+7z+z3

    5. Answer:

    5+7z-1+z-3
    Solution:

    Since the one sided z-transform is valid only for n>=0, the z-transform of the given signal will be X+(z)= 5+7z-1+z-3.

Question: 19 -

The region of convergence of x/ (1+2x+x2) is

Options:

  1. Positive

  2. None of these

  3. Negative

  4. 1

    5. Answer:

    Negative
    Solution not available.

Question: 20 -

What is the one sided z-transform of x(n)=δ(n-k)?

Options:

  1. zk

  2. z-k

  3. 1

  4. 0

    5. Answer:

    z-k
    Solution:

    Since the signal x(n)= δ(n-k) is a causal signal i.e., it is defined for n>0 and x(n)=1 at z=k
    So, from the definition of one sided z-transform X+(z)=z-k.