Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algorithm for fast computation of the multiresolution discrete
  Fourier transform   The article presents a computationally effective algorithm for calculating
the multiresolution discrete Fourier transform (MrDFT). The algorithm is based
on the idea of reducing the computational complexity which was introduced by
Wen and Sandler [10] and utilizes the vectorization of calculating process at
each stage of the considered transformation. This allows for the use of a
computational process parallelization and results in a reduction of computation
time. In the description of the computational procedure, which describes the
algorithm, we use the matrix notation. This notation enables to represent
adequately the space-time structures of the implemented computational process
and directly map these structures into the constructions of a high-level
programming language or into a hardware realization space.

10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat