Quantization Noise as Superposition of Frequency-Modulated Sinusoids

Author

Zierhofer, Clemens M.

Author_Institution

Christian Doppler Lab. for Active Implantable Syst., Univ. of Innsbruck, Innsbruck, Austria

Volume

16

Issue

11

fYear

2009

Firstpage

933

Lastpage

936

Abstract

A closed-form deterministic description of the quantization noise introduced by an infinite uniform quantizer as a function of an arbitrary input signal is given. The quantization noise can be regarded as a superposition of frequency-modulated (FM) sinusoids. For a band-limited Gaussian noise input signal, the power density spectrum of the quantization noise is derived. For a discrete-time system, conditions for the quantization noise being uniformly distributed and spectrally white are given. The analytic expressions are in excellent agreement with simulation results.

Keywords

Gaussian noise; bandlimited signals; discrete time systems; frequency modulation; quantisation (signal); statistical distributions; arbitrary input signal; band-limited Gaussian noise input signal; closed-form deterministic description; discrete-time system; frequency-modulated sinusoid; infinite uniform quantizer; power density spectrum; quantization noise; uniform distribution; Autocorrelation function; Gaussian noise input; frequency modulation; power density spectra; quantization noise decomposition; uniform quantizer;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2009.2027553

Filename

5164942