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