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What is the dead band of a single pole filter with a pole at 3/4 and represented by 4 bits?(a) (-1/2,1/2)(b) (-1/8,1/8)(c) (-1/4,1/4)(d) (-1/16,1/16)I got this question in an interview for job.This interesting question is from Round Off Effects in Digital Filters topic in section Digital Filters Design of Digital Signal Processing

Answer»

Right choice is (b) (-1/8,1/8)

EASIEST explanation: We know that

|v(n-1)| ≤ \(\frac{(\frac{1}{2}).2^{-b}}{1-|a|}\)

GIVEN |a|=3/4 and b=4 => |v(n-1)| ≤ 1/8=> The DEAD band is (-1/8,1/8).



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