Level Crossings of Phase of Sine Wave Plus Gaussian Noise
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概要
- 論文の詳細を見る
Theoretical results concerning the level crossings of the phase -π≤θ(t)≤π of the process consisting of a sine wave disturbed by additive Gaussian noise are presented, along with the experimental results supporting the theory. The average number of crossings of the phase angle θ(t), as well as the conditional probability densities for R(t), the envelope of the considered process, and for θ'(t), the time derivative of θ(t), are derived for an arbitrary crossing level θ. These derivations are a generalization of the existing theory to the case of a nonsymmetric (about the sine wave frequency) noise spectrum and an arbitrary crossing level -π≤θ≤π. To verify the derivations, experimental measurement of the considered quantities is performed for the case of a Gaussian noise having the 7th-order Butterworth spectrum. The experimental results are compared with the corresponding theoretical ones, and are found to be in good agreement.
- 社団法人応用物理学会の論文
- 1993-12-15
著者
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Mimaki T
The Faculty Of Electro-communications University Of Electro-communications
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Mimaki Tadashi
Department Of Communication Systems University Of Electro-communications
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Youssef Neji
The Faculty Of Electro-communications University Of Electro-communications
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Munakata T
Components Division Oki Electric Industry Co. Ltd.
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YOUSSEF Neji
Department of Communication and Systems Engineering, University of Electro-Communications
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MUNAKATA Tsutomu
Faculty of Engineering, Tamagawa University
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