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In recursive systems, which of the following is caused because of the nonlinearities due to the finite-precision arithmetic operations?

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In recursive systems, which of the following is caused because of the nonlinearities due to the finite-precision arithmetic operations?

(a) Periodic oscillations in the input

(b) Non-Periodic oscillations in the input

(c) Non-Periodic oscillations in the output

(d) Periodic oscillations in the output

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Query is from Round Off Effects in Digital Filters topic in portion Digital Filters Design of Digital Signal Processing

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Right option is (d) Periodic oscillations in the output

The best I can explain: In the recursive systems, the nonlinearities due to the finite-precision arithmetic operations often cause periodic oscillations to occur in the output even when the input sequence is zero or some non zero constant value.

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