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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 outputThe question was asked in an interview.Query is from Round Off Effects in Digital Filters topic in portion Digital Filters Design of Digital Signal Processing

Answer»

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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