IEICE TRANSACTIONS on transactions
Unified Analysis of the Output Statistical Properties of Quadratic Detectors
Summary :
In this paper, an unified analysis presented for evaluating the statistical properties of a general class of the quadratic detectors. The probability density function (pdf) for the output of the quadratic detectors is derived by the characteristic function method which requires the contour integration in a complex plane for the Laplace inversion operation, without enforcing to solve directly the eigenvalues of the integral equation as used by Kac, which is only possible for a special case of Gaussian input. We treat a general situation in which the tow inputs to the detector are narrowband signal-plus-interference-plus-noise. A general and closed-form expression of the output pdf of the quadratic detector is derived. We show that the unified analysis results can be applied not only to stationary Gaussian noise channels but also to Rayleigh fading channels, and that the results previously derived can easily be obtained using our unified results.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E66-E No.3 pp.186-193
- Publication Date
- 1983/03/25
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Transmission Systems
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Ke Rang WU, Norihiko MORINAGA, Toshihiko NAMEKAWA, "Unified Analysis of the Output Statistical Properties of Quadratic Detectors" in IEICE TRANSACTIONS on transactions,
vol. E66-E, no. 3, pp. 186-193, March 1983, doi: .
Abstract: In this paper, an unified analysis presented for evaluating the statistical properties of a general class of the quadratic detectors. The probability density function (pdf) for the output of the quadratic detectors is derived by the characteristic function method which requires the contour integration in a complex plane for the Laplace inversion operation, without enforcing to solve directly the eigenvalues of the integral equation as used by Kac, which is only possible for a special case of Gaussian input. We treat a general situation in which the tow inputs to the detector are narrowband signal-plus-interference-plus-noise. A general and closed-form expression of the output pdf of the quadratic detector is derived. We show that the unified analysis results can be applied not only to stationary Gaussian noise channels but also to Rayleigh fading channels, and that the results previously derived can easily be obtained using our unified results.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e66-e_3_186/_p
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@ARTICLE{e66-e_3_186,
author={Ke Rang WU, Norihiko MORINAGA, Toshihiko NAMEKAWA, },
journal={IEICE TRANSACTIONS on transactions},
title={Unified Analysis of the Output Statistical Properties of Quadratic Detectors},
year={1983},
volume={E66-E},
number={3},
pages={186-193},
abstract={In this paper, an unified analysis presented for evaluating the statistical properties of a general class of the quadratic detectors. The probability density function (pdf) for the output of the quadratic detectors is derived by the characteristic function method which requires the contour integration in a complex plane for the Laplace inversion operation, without enforcing to solve directly the eigenvalues of the integral equation as used by Kac, which is only possible for a special case of Gaussian input. We treat a general situation in which the tow inputs to the detector are narrowband signal-plus-interference-plus-noise. A general and closed-form expression of the output pdf of the quadratic detector is derived. We show that the unified analysis results can be applied not only to stationary Gaussian noise channels but also to Rayleigh fading channels, and that the results previously derived can easily be obtained using our unified results.},
keywords={},
doi={},
ISSN={},
month={March},}
Copy
TY - JOUR
TI - Unified Analysis of the Output Statistical Properties of Quadratic Detectors
T2 - IEICE TRANSACTIONS on transactions
SP - 186
EP - 193
AU - Ke Rang WU
AU - Norihiko MORINAGA
AU - Toshihiko NAMEKAWA
PY - 1983
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E66-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1983
AB - In this paper, an unified analysis presented for evaluating the statistical properties of a general class of the quadratic detectors. The probability density function (pdf) for the output of the quadratic detectors is derived by the characteristic function method which requires the contour integration in a complex plane for the Laplace inversion operation, without enforcing to solve directly the eigenvalues of the integral equation as used by Kac, which is only possible for a special case of Gaussian input. We treat a general situation in which the tow inputs to the detector are narrowband signal-plus-interference-plus-noise. A general and closed-form expression of the output pdf of the quadratic detector is derived. We show that the unified analysis results can be applied not only to stationary Gaussian noise channels but also to Rayleigh fading channels, and that the results previously derived can easily be obtained using our unified results.
ER -
English
