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The shape of radio signals determined by modulation system and that produced by the nonlinear transform are different in kind, which is the basis for discriminating them. Feature extraction based on fractal theory is a new method. In this paper,the features of modulation and nonlinear transform are projected to fractal feature space by computing the variance fractal dimension and the Mandelbrot singularity spectra dimensions. The numerical result show that differences in fractal features do exist between different modulated signals and the nonlinear transformed signals. The results show that the feature of these signals can be extracted based on fractal theory, which has engineering value for the identification of modulated radio signals.
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Keywords:
- radio /
- signal /
- fractal feature /
- discrimination
[1] Potapov A A, Gilmutdinov A K, Ushakov P A 2008 J. Comm. Tech. Electron. 53 1271
[2] Ayache A, Heinrich P, Laurence Marsalle, Suquet C 2005 Fractals in Engineering: New Trends in Theory and Applications (Springer:Berlin) p33—56
[3] Yu Z G, Xiao Q J, Shi L, Yu J W, Vo A 2010 Chin. Phys. B 19 8701
[4] Deng S H, Gao S, Li Y P, Xu X Y, Lin S L 2010 Chin. Phys. B 19 0511
[5] Yuan Y, Ye C, Huang H W, Shi G F, Ning Z Y 2010 Chin. Phys. B 19 5205
[6] Han J J, Fu W J 2010 Chin. Phys. B 19 0205
[7] Luo S H , Zen J S 2009 Acta Phys. Sin. 58 150 (in Chinese)[罗世华、 曾九孙 2009 58 150]
[8] Jiang Z H, Zhao H F, Zhen R H 2009 Acta Phys. Sin. 58 7579 (in Chinese)[姜泽辉、 赵海发、 郑瑞华 2009 58 7579]
[9] Xing C M, Liu F A 2010 Acta Phys. Sin. 59 1608 (in Chinese)[邢长明、 刘方爱 2010 59 1608]
[10] Yang J, Lai X M, Peng G, Bian B M, Lu J 2009 Acta Phys. Sin. 58 3008 (in Chinese)[杨 娟、 赖晓明、 彭 刚、 卞保民、 陆 建 2009 58 3008]
[11] Ren X C, Guo L X 2009 Acta Phys. Sin. 58 1627 (in Chinese)[任新成、 郭立新 2009 58 1627]
[12] Falconer K 2003 FRACTAL GEOMETRY: Mathematical Foundations and Applications (Section Edition) (West Sussex: John Wiley & Sons) p27—58
[13] Kinsner W 2007 J. Cogn. Infor. Nat. Intelli. 1(4) 26
[14] Halsey T C, Jensen M H, Kadanoff L P, Procaccia I, Shraiman B I 1986 Phys. Rev. A 33 1141
[15] Emerson C, Lam N S, Quattrochi D 2005 Int’l J. Remo. Sens. 26 1575
[16] Chhabra A B, Meneveu C, Jensen R V, Sreenivasan K R 1989 Phys. Rev. A 40 5284
[17] Schreurs D, Odroma M, Goacher A A, Gadringer M 2009 RF Power Amplifier Behavioral Modeling (Cambridge :Cambridge University Press) p11—23
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[1] Potapov A A, Gilmutdinov A K, Ushakov P A 2008 J. Comm. Tech. Electron. 53 1271
[2] Ayache A, Heinrich P, Laurence Marsalle, Suquet C 2005 Fractals in Engineering: New Trends in Theory and Applications (Springer:Berlin) p33—56
[3] Yu Z G, Xiao Q J, Shi L, Yu J W, Vo A 2010 Chin. Phys. B 19 8701
[4] Deng S H, Gao S, Li Y P, Xu X Y, Lin S L 2010 Chin. Phys. B 19 0511
[5] Yuan Y, Ye C, Huang H W, Shi G F, Ning Z Y 2010 Chin. Phys. B 19 5205
[6] Han J J, Fu W J 2010 Chin. Phys. B 19 0205
[7] Luo S H , Zen J S 2009 Acta Phys. Sin. 58 150 (in Chinese)[罗世华、 曾九孙 2009 58 150]
[8] Jiang Z H, Zhao H F, Zhen R H 2009 Acta Phys. Sin. 58 7579 (in Chinese)[姜泽辉、 赵海发、 郑瑞华 2009 58 7579]
[9] Xing C M, Liu F A 2010 Acta Phys. Sin. 59 1608 (in Chinese)[邢长明、 刘方爱 2010 59 1608]
[10] Yang J, Lai X M, Peng G, Bian B M, Lu J 2009 Acta Phys. Sin. 58 3008 (in Chinese)[杨 娟、 赖晓明、 彭 刚、 卞保民、 陆 建 2009 58 3008]
[11] Ren X C, Guo L X 2009 Acta Phys. Sin. 58 1627 (in Chinese)[任新成、 郭立新 2009 58 1627]
[12] Falconer K 2003 FRACTAL GEOMETRY: Mathematical Foundations and Applications (Section Edition) (West Sussex: John Wiley & Sons) p27—58
[13] Kinsner W 2007 J. Cogn. Infor. Nat. Intelli. 1(4) 26
[14] Halsey T C, Jensen M H, Kadanoff L P, Procaccia I, Shraiman B I 1986 Phys. Rev. A 33 1141
[15] Emerson C, Lam N S, Quattrochi D 2005 Int’l J. Remo. Sens. 26 1575
[16] Chhabra A B, Meneveu C, Jensen R V, Sreenivasan K R 1989 Phys. Rev. A 40 5284
[17] Schreurs D, Odroma M, Goacher A A, Gadringer M 2009 RF Power Amplifier Behavioral Modeling (Cambridge :Cambridge University Press) p11—23
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