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 If Y(z) is the z-transform of the output function, X(z) is the z-transform of the input function and H(z) is the z-transform of system function of the LTI system, then H(z)=?
  • a)
    (Y(z))/(X(z))
  • b)
    (X(z))/(Y(z))
  • c)
    Y(z).X(z)
  • d)
    None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If Y(z) is the z-transform of the output function, X(z) is the z-trans...
Explanation: We know that for an LTI system, y(n)=h(n)*x(n)
On applying z-transform on both sides we get, Y(z)=H(z).X(z)=>H(z)= ( Y(z))/(X(z) ).
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If Y(z) is the z-transform of the output function, X(z) is the z-transform of the input function and H(z) is the z-transform of system function of the LTI system, then H(z)=?a)(Y(z))/(X(z))b)(X(z))/(Y(z))c)Y(z).X(z)d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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