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Find the Z-transform of y(n) = x(n + 2)u(n).
- a)z2 X(Z) + z2 x(0) – zx(1)
- b)z2 X(Z) – z2 x(0) – zx(1)
- c)z2 X(Z) – z2 x(0) + zx(1)
- d)z2 X(Z) + z2 x(0) + zx(1)
Correct answer is option 'B'. Can you explain this answer?
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Find the Z-transform of y(n) = x(n + 2)u(n).a)z2 X(Z) + z2 x(0) &ndash...
Given y(n) = x(n + 2)u(n)
Let n + 2 = p,i.e. n = p – 2
=z2 X(Z) – z2 x(0) – zx(1).
Let n + 2 = p,i.e. n = p – 2
=z2 X(Z) – z2 x(0) – zx(1).
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Find the Z-transform of y(n) = x(n + 2)u(n).a)z2 X(Z) + z2 x(0) &ndash...
To find the Z-transform of y(n) = x(n - 2)u(n), we can use the time-shifting property of the Z-transform:
Y(z) = X(z)z^{-2} * 1/(1-z^{-1})
where X(z) is the Z-transform of x(n), and the z^{-2} term comes from the fact that y(n) is x(n-2).
To find z^2 X(z), we can simply multiply Y(z) by (1-z^{-1}):
z^2 X(z) = Y(z) * (1-z^{-1})
z^2 X(z) = X(z)z^{-2} * (1-z^{-1})^2 / (1-z^{-1})
z^2 X(z) = X(z)z^{-2} * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
z^2 X(z) = X(z) * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
Finally, we can substitute x(0) for X(z) to get:
z^2 X(z) = x(0) * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
Y(z) = X(z)z^{-2} * 1/(1-z^{-1})
where X(z) is the Z-transform of x(n), and the z^{-2} term comes from the fact that y(n) is x(n-2).
To find z^2 X(z), we can simply multiply Y(z) by (1-z^{-1}):
z^2 X(z) = Y(z) * (1-z^{-1})
z^2 X(z) = X(z)z^{-2} * (1-z^{-1})^2 / (1-z^{-1})
z^2 X(z) = X(z)z^{-2} * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
z^2 X(z) = X(z) * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
Finally, we can substitute x(0) for X(z) to get:
z^2 X(z) = x(0) * (1-2z^{-1}+z^{-2}) / (1-z^{-1})
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Find the Z-transform of y(n) = x(n + 2)u(n).a)z2 X(Z) + z2 x(0) – zx(1)b)z2 X(Z) – z2 x(0) – zx(1)c)z2 X(Z) – z2 x(0) + zx(1)d)z2 X(Z) + z2 x(0) + zx(1)Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Find the Z-transform of y(n) = x(n + 2)u(n).a)z2 X(Z) + z2 x(0) – zx(1)b)z2 X(Z) – z2 x(0) – zx(1)c)z2 X(Z) – z2 x(0) + zx(1)d)z2 X(Z) + z2 x(0) + zx(1)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the Z-transform of y(n) = x(n + 2)u(n).a)z2 X(Z) + z2 x(0) – zx(1)b)z2 X(Z) – z2 x(0) – zx(1)c)z2 X(Z) – z2 x(0) + zx(1)d)z2 X(Z) + z2 x(0) + zx(1)Correct answer is option 'B'. Can you explain this answer?.
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