Audio Quantisation - Bode Sensitivity Integrals

Summary

Our interest here is in the performance of optimal noise shaping quantisers as used in CD Mastering Stations. These quantisers use a particular feedback circuit to “shape” the spectrum of the quantisation noise.

The goal of the laboratory is to give an in-depth treatment of the performance of this quantiser.

Figure 16.1: Screenshot of Program
Figure 16.1: Screenshot of Program

The Physical Apparatus

Our interest here is in the performance of optimal noise shaping quantisers as used in CD Mastering Stations. these quantisers use a particular feedback circuit so as to “shape” the spectrum of the quantisation noise.

The reader is referred to Audio Quantisation (A) for a description of this general area, together with an introduction to the Optimal Noise Shaping Quantiser. The goal of the current laboratory is to give a more in depth treatment of the performance of this quantiser.

Prerequisites

The laboratory is aimed at giving an appreciation of the “Water Bed Effect” in sensitivity allocation by Feedback. Thus, students need to have heard about the Bode Sensitivity Integrals.

Learning Objectives

The goals of this virtual laboratory:

  • To study a real application of Bode’s sensitivity integral
  • To understand the impact of unstable dynamics on sensitivity tradeoffs