Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MSE estimates for multitaper spectral estimation and off-grid
  compressive sensing   We obtain estimates for the Mean Squared Error (MSE) for the multitaper
spectral estimator and certain compressive acquisition methods for multi-band
signals. We confirm a fact discovered by Thomson [Spectrum estimation and
harmonic analysis, Proc. IEEE, 1982]: assuming bandwidth $W$ and $N$ time
domain observations, the average of the square of the first $K=2NW$ Slepian
functions approaches, as $K$ grows, an ideal band-pass kernel for the interval
$[-W,W]$. We provide an analytic proof of this fact and measure the
corresponding rate of convergence in the $L^{1}$ norm. This validates a
heuristic approximation used to control the MSE of the multitaper estimator.
The estimates have also consequences for the method of compressive acquisition
of multi-band signals introduced by Davenport and Wakin, giving MSE
approximation bounds for the dictionary formed by modulation of the critical
number of prolates.

34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn