Question

The slope-overload distortion is avoided, if which of the following conditions satisfy?

(a) Min|dx(t)/d(t)| ≤ Δ/T

(b) Max|dx(t)/d(t)| ≤ Δ/T

(c) |dx(t)/d(t)| ≤Δ/T

(d) None of the mentioned

I have been asked this question during a job interview.

This is a very interesting question from Sample and Hold topic in section Sampling and Reconstruction of Signals of Digital Signal Processing

Answer 1

Correct option is (b) Max|dx(t)/d(t)| ≤ Δ/T

Easy explanation: The crosshatched areas illustrate two types of quantization error in DM, slope-overload distortion and granular noise. types of quantization error in DM, slope-overload distortion and granular noise. Since the maximum slope A (T in x (n) is limited by the step size, slope-overload distortion can be avoided if max|dx(t)/d(t)|≤Δ/T).