Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improving the frequency response of Savitzky-Golay filters via
  colored-noise models   Savitzky-Golay (SG) filters are finite impulse response (FIR) realizations of
least-squares polynomial regression and they are widely used for filtering
(e.g. smoothing, interpolating, predicting, differentiating) and processing
(e.g. detecting and classifying) non-stationary signals in non-Gaussian noise.
For such inputs, the Wiener filter is biased and the Kalman filter is
sub-optimal. Sequentially-correlated (i.e. colored) noise models are an
integral part of the Wiener filter and an optional addition to the Kalman
filter; however, their use in SG-filters has been overlooked in recent times.
It is shown here that colored (wide-band and narrow-band) noise models are
readily incorporated into a standard SG-filter and that this also addresses the
well-known deficiency of their poor frequency-selectivity/configurability. A
wide-band noise model sets the main-lobe/side-lobe width/height and provides
physical justification for band-limited design procedures described elsewhere.
The proposed narrow-band noise model, with arbitrarily placed side-lobe nulls,
has the potential to outperform other SG filters when sinusoidal interferers of
known frequency are present. The utility of these whitened SG-filters is
illustrated in a hypothetical pulse/peak-detection application using a test
statistic that is shaped by the noise model.

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math