Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter Estimation of Noise Corrupted Sinusoids   Existing algorithms for fitting the parameters of a sinusoid to noisy
discrete time observations are not always successful due to initial value
sensitivity and other issues. This paper demonstrates the techniques of FIR
filtering, Fast Fourier Transform, circular autocorreltion, and nonlinear least
squares minimization as useful in the parameter estimation of amplitude,
frequency and phase exemplified for a low-frequency time-delayed sinusoid
describing simple harmonic motion. Alternative means are described for
estimating frequency and phase angle. An autocorrelation function for harmonic
motion is also derived.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
1
The categories of this paper are: cs