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 If x1(n) and x2(n) are two real valued sequences of length N, and let x(n) be a complex valued sequence defined as x(n)=x1(n)+jx2(n), 0≤ n≤ N-1, then what is the value of x2(n)?
  • a)
    (x(n)-x*(n))/2
  • b)
    (x(n)+x*(n))/2
  • c)
    (x(n)+x*(n))/2j
  • d)
    (x(n)-x*(n))/2j
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If x1(n) and x2(n) are two real valued sequences of length N, and let ...
Explanation: Given x(n)=x1(n)+jx2(n)
=>x*(n)= x1(n)-jx2(n)
Upon subtracting the above two equations, we get x2(n)= (x(n)-x*(n))/2j.
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Most Upvoted Answer
If x1(n) and x2(n) are two real valued sequences of length N, and let ...
If x1(n) and x2(n) are two real-valued sequences of length N, and let x(n) be a complex-valued sequence defined as x(n) = x1(n) + jx2(n), 0 ≤ n < n,="" then="" the="" length="" of="" x(n)="" is="" also="" />

Since x(n) is defined as the sum of x1(n) and j times x2(n), the length of x(n) will be the same as the length of x1(n) and x2(n), which is N.

Therefore, the complex-valued sequence x(n) has a length of N.
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