Effect of additive dither on the resolution of ideal quantizers

Author

Carbone, Paolo ; Petri, Dario

Author_Institution

Dipartimento di Elettronica e Inf., Padova Univ., Italy

Volume

43

Issue

3

fYear

1994

fDate

6/1/1994 12:00:00 AM

Firstpage

389

Lastpage

396

Abstract

The effect of adding dither to a given signal before its quantization is investigated. To this aim the relationship between the statistical description of the dither and the mean value of the quantization error and of the quantizer output is derived. The presented results allow the determination of the resolution limits that can be achieved by low-pass filtering a set of quantized samples of a slowly varying dithered signal. Discrete, uniform, sinusoidal, and Gaussian dithering are analyzed, thus providing a quantitative basis for choosing the most appropriate dither signal for a given application

Keywords

analogue-digital conversion; encoding; filtering and prediction theory; low-pass filters; statistical analysis; Gaussian dithering; additive dither; discrete dithering; ideal quantizers; low-pass filtering; mean value; quantization error; resolution limits; sinusoidal dithering; slowly varying dithered signal; statistical description; uniform dithering; Additives; Filtering; Fourier series; Helium; Instrumentation and measurement; Linearity; Low pass filters; Quantization; Signal analysis; Signal resolution;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.293456

Filename

293456