Chapter 2Quantization

U. Zölzer

Basic operations for analog‐to‐digital (AD) conversion of a continuous‐time signal x left-parenthesis t right-parenthesis are the sampling and quantization of x left-parenthesis n right-parenthesis yielding the quantized sequence x Subscript upper Q Baseline left-parenthesis n right-parenthesis (see Fig. 2.1). Before discussing AD/digital‐to‐analog (DA) conversion techniques and the choice of the sampling frequency f Subscript upper S Baseline equals StartFraction 1 Over upper T Subscript upper S Baseline EndFraction in Chapter 3, we will introduce the quantization of the samples x left-parenthesis n right-parenthesis with a finite number of bits. The digitization of a sampled signal with continuous amplitude is called quantization. The effects of quantization, starting with the classical quantization model, are discussed in Section 2.1. In Section 2.2, dither techniques are presented which, for low‐level signals, linearize the process of quantization. In Section 2.3, spectral shaping of quantization errors is described. Section 2.4 deals with number representation for digital audio signals and their effects on algorithms.

2.1 Signal Quantization

2.1.1 Classical Quantization Model

Quantization is described by Widrow's quantization ...

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