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Limit cycles in the recursive are directly attributable to which of the following?

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Limit cycles in the recursive are directly attributable to which of the following?

(a) Round-off errors in multiplication

(b) Overflow errors in addition

(c) Both of the mentioned

(d) None of the mentioned

The question was asked in an international level competition.

I'd like to ask this question from Round Off Effects in Digital Filters in division Digital Filters Design of Digital Signal Processing

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Correct answer is (c) Both of the mentioned

The best explanation: The oscillations in the output of the recursive system are called as limit cycles and are directly attributable to round-off errors in multiplication and overflow errors in addition.

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