Question

The oscillations in the output of the recursive system are called as ‘limit cycles’.

(a) True

(b) False

This question was posed to me in an interview for internship.

Asked question is from Round Off Effects in Digital Filters topic in division Digital Filters Design of Digital Signal Processing

Answer 1

Right option is (a) True

To 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. The oscillations thus produced in the output are known as ‘limit cycles’.