Towards a Wavelet Information Theory

نویسندگان

  • H. M. de Oliveira
  • D. F. de Souza
چکیده

Abstract—A new interpretation for the wavelet analysis is reported, which can is viewed as an information processing technique. It was recently proposed that every basic wavelet could be associated with a proper probability density, allowing defining the entropy of a wavelet. Introducing now the concept of wavelet mutual information between a signal and an analysing wavelet fulfils the foundations of a wavelet information theory (WIT). Both continuous and discrete time signals are considered. Finally, we showed how to compute the information provided by a multiresolution analysis by means of the inhomogeneous wavelet expansion. Highlighting ideas behind the WIT are presented.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A new method for calculating earthquake characteristics and nonlinear spectra using wavelet theory

In the present study using the wavelet theory (WT) and later the nonlinear spectrum response of the acceleration (NSRA) resulted in estimating a strong earthquake record for the structure to a degree of freedom. WT was used in order to estimate the acceleration of earthquake mapping with equal sampling method (WTESM). Therefore, at first, the acceleration recorded in an earthquake using WTESM w...

متن کامل

Audio Watermarking: A Critical Review

The proliferation of digital audio file is costing loss of revenue to the owner of copyright information especially in the music industry. The paper brings to view works done by various on digital audio watermarking and using discrete wavelet transform (DWT) and discrete cosine transform (DCT) with chaotic watermarking towards carrying out investigation for real life application.

متن کامل

Towards an Improved Characterization of Fractal Network Traffic∗

Network traffic exhibits fractal characteristics such as self-similarity and long-range dependence. Several estimators of the fractal parameters have been developed, but few consider the possibility of tracking the time evolution of those parameters. Some fractal-aware network-related algorithms such as effective bandwidth estimation, control admission or traffic prediction could improve their ...

متن کامل

BMO Space and its relation with wavelet theory

The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.

متن کامل

A Distributed Wavelet Approach for Efficient Information Representation and Data Gathering in Sensor Webs

In this work we investigate novel approaches for information processing and representation in a sensor web. Sensor nodes capture information that is both temporally and spatially correlated. Exploiting spatial correlation requires data exchange between sensors, which should be minimized in order to keep power consumption low and maximize the life of the system. We are investigating methods for ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015