Two-Dimensional Space-Time Analysis and Matrix RepresenTation on the Principle of the Capacitive Displacement Transducer
In order to provide a design method of the capacitive displacement transducer and to improve its measuring performance it is desperately needed to offer a refined mathematic model of the transducer of mulitiphase drive and phase-modulated.On the basis of fully considering its characteristic of digital signals, first it is found that their actual waveforms and space-time characteristics could be tersely represented by matrixes uij、 cj and vi, and corresponding matrix elements uij、 cj and vi through deeply analyzing space-time and quantum characteristics of their mulitiphase driving signals Ui(t), capacitive coupling signals Cj(x) and output signal V(t). and space-time transform function possessed by U(x,t) itself. Then the basic expression of the relations of the transducer is derived, which is expressed by matrixes, thereby the characteristics of space-time transform and phase modulation are brought to light. The demodulation process and demodulated waveforms and its characteristics in the transducer are also expressed by demodulated matrixes bij. Finally, the reason for the principle and periodic error produced in the transducer is revealed by sampling matrix sij. Thus the full process of the produce of driving signals, modulation, demodulation and space-time transform that happen in the transducer, also waveforms and characteristics of various signals in the process are concisely expressed by two-dimensional space-time matrixes. Experimental results indicate that the use of the mathematical model enables its resolving power to reach 1 μm, and the mathematical model proposed is an all-things-considered model to express processes that happen in the transducer.
Z Y Zhang J X Luo
College of Metrological Technology & Engineering, China Jiliang University,Hangzhou, China Zhejiang Radio Factory, Zhejiang, China
国际会议
第四届仪器科学与技术国际会议( 4th International Symposium on Instrumentation and Science and Tcchnology)
哈尔滨
英文
274-280
2006-08-08（万方平台首次上网日期，不代表论文的发表时间）