EJPAU 2005. Meier S. COMPRESSION OF NON-STATIONARY SIGNALS BY THE WAVELET TRANSFORMATION

Electronic Journal of Polish Agricultural Universities (EJPAU) founded by all Polish Agriculture Universities presents original papers and review articles relevant to all aspects of agricultural sciences. It is target for persons working both in science and industry,regulatory agencies or teaching in agricultural sector. Covered by IFIS Publishing (Food Science and Technology Abstracts), ELSEVIER Science - Food Science and Technology Program, CAS USA (Chemical Abstracts), CABI Publishing UK and ALPSP (Association of Learned and Professional Society Publisher - full membership). Presented in the Master List of Thomson ISI.

2005
Volume 8
Issue 2

Topic:

Geodesy and Cartography

ELECTRONIC
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES

Meier S. 2005. COMPRESSION OF NON-STATIONARY SIGNALS BY THE WAVELET TRANSFORMATION, EJPAU 8(2), #06.
Available Online: http://www.ejpau.media.pl/volume8/issue2/abs-06.html

COMPRESSION OF NON-STATIONARY SIGNALS BY THE WAVELET TRANSFORMATION

Siegfried Meier
Planetary Geodesy Institute, Dresden University of Technology, Germany

ABSTRACT

By means of the wavelet transformation not only the signals will be transferred into the wavelet domain, but also their statistical qualities, which are described by probability distributions, second order moment functions, and others. Here, we consider the normal distribution and the distributions of the ordinates of periodic signals in order to compare pre-estimates of compression rates using continuous wavelet transforms. The action of non-zero expectation values of processes with stationary increments is investigated for the same purpose. Finally, the theoretical results based on the continuous transformation are compared to those of numerical experiments with discrete data.

Key words: wavelet, compression rates.

Siegfried Meier
Planetary Geodesy Institute,
Dresden University of Technology, Germany
01062 Dresden, Germany
Tel./Fax: 0351-463-33416/37063
email: meier@ipg.geo.tu-dresden.de

Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.