1.

Which of the following linear time invariant system is a purely recursive system?(a) y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)(b) y(n) = \(\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)(c) y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)-\sum_{k=0}^{M} b_k x(n-k)\)(d) y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+b_0x(n)\)I had been asked this question in an online quiz.My question comes from Implementation of Discrete Time Systems topic in division Discrete Time Signals and Systems of Digital Signal Processing

Answer»

Correct answer is (d) y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+b_0x(n)\)

The explanation is: Since the output of the SYSTEM depend only on the past values of output and the PRESENT VALUE of the input, the system is called as “purely recursive” system.



Discussion

No Comment Found

Related InterviewSolutions