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Given the following system
T{X[n]} = X[n] + 3u[n+1]
Where u[x] represents unit step functions-
Which of the following is a correct representation of the system?
  • a)
    Non Linear Time Invariant System
  • b)
    Non Linear Time Variant System
  • c)
    Linear Time Invariant System
  • d)
    Linear Time Variant System
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Given the following systemT{X[n]} = X[n] + 3u[n+1]Where u[x] represen...
We have,
T{X2[n] + X1[n]} = X1[n] + X2[n] +3u[n+1]
And
T{X1[n]} = X1[n] + 3u[n+1]
T{X2[n]} = X2[n] + 3u[n+1]
Since,
T{X2[n] + X1[n]} ≠ T{X1[n]} + T{X2[n]}
Thus, system is non linear.
T{X[n-no]} = X[n-no] + u[n+1]
≠ y[n-no]
Thus, system is Time Variant.
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Given the following systemT{X[n]} = X[n] + 3u[n+1]Where u[x] represents unit step functions-Which of the following is a correct representation of the system?a)Non Linear Time Invariant Systemb)Non Linear Time Variant Systemc)Linear Time Invariant Systemd)Linear Time Variant SystemCorrect answer is option 'B'. Can you explain this answer?
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