Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A representation of non-uniformly sampled deterministic and random
  signals and their reconstruction using sample values and derivatives   Shannon in his 1949 paper suggested the use of derivatives to increase the
W*T product of the sampled signal. Use of derivatives enables improved
reconstruction particularly in the case of non-uniformly sampled signals. An
FM-AM representation for Lagrange/Hermite type interpolation and a
reconstruction technique are discussed. The representation using a product of a
polynomial and exponential of a polynomial is extensible to two dimensions.
  When the directly available information is inadequate, estimation of the
signal and its derivative based on the correlation characteristics of Gaussian
filtered noise has been studied. This requires computation of incomplete normal
integrals. Reduction methods for reducing multivariate normal variables include
multistage partitioning, dynamic path integral and Hermite expansion for
computing the probability integrals necessary for estimating the mean of the
signal and its derivative at points intermediate between zero or threshold
crossings. The signals and their derivatives as measured or estimated are
utilized to reconstruct the signal at a desired sampling rate.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph