A Pseudo-Fourier Series Method and its Application in Tilt Data Processing

2012 ◽  
Vol 621 ◽  
pp. 268-272
Author(s):  
Ye Wu ◽  
Shu Yang ◽  
Xiao Yan Zhao
Keyword(s):  
Fourier Series ◽  
Lms Algorithm ◽  
Series Method ◽  
Simulation Experiments ◽  
Fourier Methods ◽  
Fourier Series Method ◽  
Tilt Observation ◽  
Adaptive Lms ◽  
Long Term Trend

The basic principle of a new pseudo-Fourier series method is derived in detail in this paper. Simulation experiments show that the algorithm can effectively remove the noise and preserve signal's original energy effectively compared with the filtering results based on adaptive LMS algorithm. In addition, the experiment shows that the filtering speed of like Fourier methods is about 25 times the speed of adaptive LMS algorithm. The four types of ground tides are successfully filtered for picking-up the long-term trend of the tilt observation.

Application of a Pseudo-Fourier Series Method in Tilt Data Processing

2012 ◽  
Vol 588-589 ◽  
pp. 806-809
Author(s):  
Ye Wu ◽  
Yong Ge Wan ◽  
Ying Qiu Li
Keyword(s):  
Fourier Series ◽  
Harmonic Signal ◽  
Single Frequency ◽  
Frequency Noise ◽  
Fourier Series Method ◽  
Close Range ◽  
Tilt Observation ◽  
Filtering Effect ◽  
Long Term Trend

A new pseudo-Fourier series (PFS) method to suppress single-frequency noise is proposed in this paper. The basic principle is derived in detail. Numerical experiments show that the PFS method is highly effective in extracting harmonic signal and when the frequency of the extracted composition is very close to that of the noise composition, the filtering effect will be slightly decreased, and the close range is about 1e-4. Four types of ground tides are successfully filtered out for picking-up the long-term trend of the tilt observation and the mutational abnormality.

scholarly journals 1-D heat conduction in a fractal medium: A solution by the local fractional Fourier series method

2013 ◽  
Vol 17 (3) ◽  
pp. 953-956 ◽  
Author(s):  
Yuzhu Zhang ◽  
Aimin Yang ◽  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Fourier Series ◽  
Heat Conduction ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Series Method ◽  
Heat Transfer Mechanism ◽  
Basic Properties ◽  
Fractal Medium ◽  
Fourier Series Method

In this communication 1-D heat conduction in a fractal medium is solved by the local fractional Fourier series method. The solution developed allows relating the basic properties of the fractal medium to the local heat transfer mechanism.

Development of the Low Cost Harmonic and Power Instrument by Using Fourier Series Method with Microcontroller

2014 ◽  
Vol 492 ◽  
pp. 519-525
Author(s):  
Napat Watjanatepin ◽  
Chaiyant Boonmee ◽  
Yutthana Kantaphayao
Keyword(s):  
Fourier Series ◽  
Power Factor ◽  
Measurement Errors ◽  
Single Phase ◽  
Low Cost ◽  
Electrical Power ◽  
Quality Measurement ◽  
Series Method ◽  
Electrical Parameters ◽  
Fourier Series Method

The objective of this paper is to present the application of microcontroller dsPIC30F6012A to measure the harmonics current and electrical power by using the Fourier series method to calculate the electrical parameters. This design is to develop the low cost harmonics instrument and to focus on working with the single phase AC system. The prototype was then developed to measure the harmonics current and power factor, and the result was compared with the standard instrument. The result is that most electrical parameters have the measurement errors of less than 4.0%. However, this idea could be developed so that it applies in the related work with the power quality measurement.

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