Non-parametric estimation of the amplitude ratio of sinusoidal signals with common frequency |
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| Affiliation: | 1. Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1001 Ljubljana, Slovenia;2. Metrel d.d., Ljubljanska cesta 77, SI-1354 Horjul, Slovenia;1. Politecnico di Torino, Dipartimento di Elettronica e Telecomunicazioni, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy;2. Politecnico di Torino, Dipartimento Energia, Italy;3. Politecnico di Bari, Dipartimento di Ingegneria Elettrica e dell’Informazione, Italy;1. Automatic Test and Control Institute, School of Information and Electrical Engineering, Harbin Institute of Technology at WeiHai, WeiHai, China;2. Automatic Test and Control Institute, School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin, China;3. Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, China;1. National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, PR China;2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030, PR China;3. Department of Engineering, University of Glamorgan, Pontypridd CF37 1DL, UK;1. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China;2. School of Mechanical Engineering, Jiangnan University, Wuxi 214122, China;3. State Key Laboratory of Mechanical System and Vibration, Shanghai 200240, China;4. State Key Laboratory of Robotics and System, Harbin 150080, China;5. Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Wuxi 214122, China |
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| Abstract: | The systematic bias error of the amplitude ratio estimation owed to leakage effect can be effectively reduced by employment of the non-parametric multi-point interpolation of the discrete Fourier transform in the quotient of amplitudes. Simple single-step algorithms for fast measurement and estimation of the amplitude ratio of sinusoidal signals with the same frequency from two channels are presented. The paper analyzes and compares the systematic bias errors and the noise error behaviors of the amplitude ratio estimation changing the order of Rife–Vincent windows class I, which are designed for maximization of the window spectrum side-lobe fall-off, and minimum side-lobe level (MSL) windows, which are designed for minimization of the energy in the window spectrum main lobe. Estimation errors are shown in relation to the number of signal cycles in the measurement interval. |
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| Keywords: | Amplitude ratio Frequency domain Rife–Vincent windows MSL windows Leakage effect Noise error |
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