What is the fixed range of the quantization error eq(n)?(a) –\(\frac{\Delta}{6}\) < eq(n) ≤ \(\frac{\Delta}{6}\)(b) –\(\frac{\Delta}{4}\) < eq(n) ≤ \(\frac{\Delta}{4}\)(c) –\(\frac{\Delta}{2}\) < eq(n) ≤ \(\frac{\Delta}{2}\)(d) –\(\frac{\Delta}{16}\) < eq(n) ≤ \(\frac{\Delta}{16}\)The question was posed to me during an interview for a job.My question is from Quantization and Coding topic in division Sampling and Reconstruction of Signals of Digital Signal Processing

What is the fixed range of the quantization error eq(n)?(a) –\(\frac

1.	What is the fixed range of the quantization error eq(n)?(a) –\(\frac{\Delta}{6}\) < eq(n) ≤ \(\frac{\Delta}{6}\)(b) –\(\frac{\Delta}{4}\) < eq(n) ≤ \(\frac{\Delta}{4}\)(c) –\(\frac{\Delta}{2}\) < eq(n) ≤ \(\frac{\Delta}{2}\)(d) –\(\frac{\Delta}{16}\) < eq(n) ≤ \(\frac{\Delta}{16}\)The question was posed to me during an interview for a job.My question is from Quantization and Coding topic in division Sampling and Reconstruction of Signals of Digital Signal Processing
Answer» Right answer is (c) –\(\frac{\Delta}{2}\) < eq(N) ≤ \(\frac{\Delta}{2}\) Easy EXPLANATION: The quantization error eq(n) is always in the RANGE – \(\frac{\Delta}{2}\) < eq(n) ≤ \(\frac{\Delta}{2}\), where Δ is QUANTIZER step size.

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