classical wavelet transforms over finite fields
|
|
|
|
|
|
|
|
نویسنده
|
ghaani farashahi a.
|
|
منبع
|
journal of linear and topological algebra - 2015 - دوره : 4 - شماره : 4 - صفحه:241 -257
|
|
چکیده
|
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. we present a concrete formulation for the frobenius norm of the classical wavelet transforms over finite fields. it is shown that each vector defined over a finite field can be represented as a finite coherent sum of classical wavelet coefficients.
|
|
کلیدواژه
|
finite field ,classical wavelet group ,quasi-regular representation ,classical wavelet transforms ,dilation operators ,periodic (finite size) data ,prime integer
|
|
آدرس
|
university of vienna, faculty of mathematics, numerical harmonic analysis group (nuhag), austria
|
|
پست الکترونیکی
|
arash.ghaani.farashahi@univie.ac.at ; ghaanifarashahi@hotmail.com
|
|
|
|
|
|
|