Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternion Linear Canonical Wavelet Transform and The Corresponding
  Uncertainty Inequalities   The linear canonical wavelet transform has been shown to be a valuable and
powerful time-frequency analyzing tool for optics and signal processing. In
this article, we propose a novel transform called quaternion linear canonical
wavelet transform which is designed to represent two dimensional
quaternion-valued signals at different scales, locations and orientations. The
proposed transform not only inherits the features of quaternion wavelet
transform but also has the capability of signal representation in quaternion
linear canonical domain. We investigate the fundamental properties of
quaternion linear canonical wavelet transform including Parseval's formula,
energy conservation, inversion formula, and characterization of its range using
the machinery of quaternion linear canonical transform and its convolution. We
conclude our investigation by deriving an analogue of the classical
Heisenberg-Pauli-Weyl uncertainty inequality and the associated logarithmic and
local versions for the quaternion linear canonical wavelet transform.

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The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg