Fractional Order Ship Tracking Correlation Algorithm

Hou, Mengshu; Liu, Yuran

doi:10.4304/jsw.7.12.2894-2898

Cited by 1 publication

(2 citation statements)

References 13 publications

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“…Several researchers have found that the fractional derivative model can provide a more accurate description of the nature of memory, genetic material, and the distribution process compared with the integer order derivative model [7][8][9][10]. The overall memory characteristic of fractional numbers is widely used in physics, chemistry, materials, fractal theory [11,12], image processing [13], and other fields. Fractional differential analysis has become an active research area that attracted considerable attention from domestic and foreign scholars, and became a leading topic in research.…”

Section: B Summary Of Fractional Differentialmentioning

confidence: 99%

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Liu-hou Prediction Algorithm for Weak Source Uncertainty Information

Liu¹,

Hou²

2014

JCP

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This paper proposed the fractional order gray prediction algorithm to improve prediction accuracy in uncertainty signal. This paper is the first to propose the measurement method of the gray information of signals. The fractional order gray prediction algorithm is deduced through fractional order Taylor expansion formula. The measurement method of the gray information of signals is provided by analyzing the relations between fractionalorder differential orders and prediction accuracy. Fractional order gray prediction algorithm spares the complex operation of whitening gray information and utilizes gray information. Experiments show that the prediction accuracy of fractional order gray prediction algorithm was significantly increased compared with the GM (1, 1) algorithm.

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Section: B Summary Of Fractional Differentialmentioning

confidence: 99%

“…These two concepts can be compared to the difference of a photo and a video [5][6][7][8]. Fractional order can better describe gray information and achieve a more accurate forecast [9][10][11][12][13][14][15][16][17][18].…”

Section: A Algorithm Thoughtmentioning

confidence: 99%