1.

The limit cycle mode with zero input, which occurs as a result of rounding the multiplications, corresponds to an equivalent second order system with poles at z=±1.(a) True(b) FalseI had been asked this question in an interview for job.The doubt is from Round Off Effects in Digital Filters topic in division Digital Filters Design of Digital Signal Processing

Answer»

The correct choice is (a) True

To elaborate: There is an possible LIMIT cycle mode with zero input, which occurs as a result of rounding the multiplications, corresponds to an equivalent second order system with poles at z=±1. In this case the two pole filter exhibits OSCILLATIONS with an amplitude that falls in the DEAD band BOUNDED by 2^-b/(1-|a1|-a2).



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