Marginal probability density function of granular quantization error in uniform quantizers

Author

Carbone, Paolo ; Petri, Dario

Author_Institution

Dipt. di Ingegneria Elettronica e dell´´Inf., Perugia Univ., Italy

Volume

47

Issue

3

fYear

2001

fDate

3/1/2001 12:00:00 AM

Firstpage

1237

Lastpage

1242

Abstract

The authors analyze the validity of the uniform model for the marginal probability density function (PDF) of granular quantization error (QE) in a uniform quantizer, subjected to random input signals. Two theorems are proved, which show that the knowledge of the average of such error as a function of input signal average, suffices for the determination of the quantization error PDF (QEPDF). This result is employed to derive simple expressions for the QEPDF in the case of random inputs with uniform, sinusoidal, or Gaussian distributions

Keywords

Gaussian distribution; error analysis; noise; normal distribution; quantisation (signal); random processes; Gaussian distribution; QEPDF; average error; granular quantization error; input signal average; marginal PDF; marginal probability density function; noise model; quantization error PDF; random input signals; sinusoidal distribution; theorems; uniform distribution; uniform mode; uniform quantizers; Associate members; Fourier series; Gaussian distribution; Information analysis; Probability density function; Quantization; Signal analysis; Source coding;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.915696

Filename

915696