The frequency estimate for a real sinusoid provided by the periodogram has a bias which is particularly severe for a short observation interval. In this paper, two improvements to the periodogram are proposed to reduce this bias. The first method transforms the real tone to a complex sinusoid while the second algorithm subtracts the negative spectral line from the received signal, prior to applying the periodogram. The performance of the two methods is illustrated by comparing with the periodogram and Quinn's interpolation as well as Cramér-Rao lower bound.
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Hing-Cheung SO, Yiu-Tong CHAN, "Short-Time Frequency Estimation of a Real Sinusoid" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 9, pp. 2455-2459, September 2005, doi: 10.1093/ietfec/e88-a.9.2455.
Abstract: The frequency estimate for a real sinusoid provided by the periodogram has a bias which is particularly severe for a short observation interval. In this paper, two improvements to the periodogram are proposed to reduce this bias. The first method transforms the real tone to a complex sinusoid while the second algorithm subtracts the negative spectral line from the received signal, prior to applying the periodogram. The performance of the two methods is illustrated by comparing with the periodogram and Quinn's interpolation as well as Cramér-Rao lower bound.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.9.2455/_p
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@ARTICLE{e88-a_9_2455,
author={Hing-Cheung SO, Yiu-Tong CHAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Short-Time Frequency Estimation of a Real Sinusoid},
year={2005},
volume={E88-A},
number={9},
pages={2455-2459},
abstract={The frequency estimate for a real sinusoid provided by the periodogram has a bias which is particularly severe for a short observation interval. In this paper, two improvements to the periodogram are proposed to reduce this bias. The first method transforms the real tone to a complex sinusoid while the second algorithm subtracts the negative spectral line from the received signal, prior to applying the periodogram. The performance of the two methods is illustrated by comparing with the periodogram and Quinn's interpolation as well as Cramér-Rao lower bound.},
keywords={},
doi={10.1093/ietfec/e88-a.9.2455},
ISSN={},
month={September},}
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TY - JOUR
TI - Short-Time Frequency Estimation of a Real Sinusoid
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2455
EP - 2459
AU - Hing-Cheung SO
AU - Yiu-Tong CHAN
PY - 2005
DO - 10.1093/ietfec/e88-a.9.2455
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2005
AB - The frequency estimate for a real sinusoid provided by the periodogram has a bias which is particularly severe for a short observation interval. In this paper, two improvements to the periodogram are proposed to reduce this bias. The first method transforms the real tone to a complex sinusoid while the second algorithm subtracts the negative spectral line from the received signal, prior to applying the periodogram. The performance of the two methods is illustrated by comparing with the periodogram and Quinn's interpolation as well as Cramér-Rao lower bound.
ER -