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The problem of multi-system compatible receiver’s frequency selection is studied based on fixed point theory, and genetic algorithm is applied to resolve the problem. In the frequency space Banach fixed point theory was used to explain the fixed point physical property, which is presented through the evolution of the frequency set in the frequency space. By adequate reciprocal action of the frequency space operator any iterative sequence source frequency set in the frequency space will finally converge to the unique fixed-point object frequency set, the object frequencies of which are the frequency selection problem’s optimal solution. The study of and the solution to the frequency selection problem has been accomplished by a genetic algorithm. Simulation shows that the algorithm can resolve the problem of the multi-system compatible receiver’s frequency selection effectively.
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Keywords:
- multi-system /
- receivers /
- genetic algorithm /
- fixed point
[1] Kovar P,Vejrazka F 2008 17th IEEE/ION Position, Location and Navigation Symposium Monterey,California,May 5—8,2008 p860
[2] Liu F,Tian M H 2009 2nd International Conference on Intelligent Computation Technology and Automation Zhangjiajie,China,October 10—11,2009 p911
[3] Bagheri E,Deldari H 2006 11th IEEE Symposium on Computers and Communications Pula-Cagliari,Sardinia,Italy,June 26—29,2006 p675
[4] Manocha A,Sharma A 2009 IEEE International Advance Computing Conference Patiala,India,March 6—7, 2009 p171
[5] Murphy L,Abdel—Aty-Zohdy H S,Hashem-Sherif M 2005 48th Midwest Symposium on Circuits and Systems Cincinnati, Ohio, August 7-10,2005 p1729
[6] Li J,Jing B,Yang Y X 2009 Acta Electronica Sinica 37 1037(in Chinese) [李剑、景博、杨义先 2009 电子学报 37 1037]
[7] Gao G,Zhou D F,Zhang J,Huang J J,Li D R 2008 Acta Electronica Sinica 36 1041(in Chinese) [高贵、周蝶飞、张军、黄纪军、李德仁 2009 电子学报 36 1041]
[8] Zhang W J,Liu Q 2009 9th International Conference on Hybrid Intelligent Systems Shenyang,LiaoNing,China,August 12—14,2009 p511
[9] Xu Z J,Nie Q M,Li P H 2009 Acta Phys. Sin. 58 2878(in Chinese) [徐志君、聂青苗、李鹏华 2009 58 2878]
[10] Li J L,Lü B D 2008 Acta Phys. Sin. 57 3006(in Chinese) [李建龙、吕百达 2008 57 3006]
[11] Forrest S,Hofmeyr S,Somayaji A 2008 24th Annual Computer Security Applications Conference Anaheim, California, December 8—12,2008 p418
[12] Harper R,Blair A 2006 8th IEEE Congress on Evolutionary Computation(CEC 2006) Vancouver, Canada, July 16—21,2006 p2638
[13] Erwin Kreyszig 1978 Introductory functional analysis with applications 1st Edition (New York: John Wiley & Sons. Inc.) p72
[14] Zhang S S 1984 Fixed Point Theory and applications 1st Edition (Chongqing: Chongqing Press)p8—9(in Chinese)[张石生 1984 不动点理论及应用 第一版(重庆:重庆出版社) 第8—9页]
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[1] Kovar P,Vejrazka F 2008 17th IEEE/ION Position, Location and Navigation Symposium Monterey,California,May 5—8,2008 p860
[2] Liu F,Tian M H 2009 2nd International Conference on Intelligent Computation Technology and Automation Zhangjiajie,China,October 10—11,2009 p911
[3] Bagheri E,Deldari H 2006 11th IEEE Symposium on Computers and Communications Pula-Cagliari,Sardinia,Italy,June 26—29,2006 p675
[4] Manocha A,Sharma A 2009 IEEE International Advance Computing Conference Patiala,India,March 6—7, 2009 p171
[5] Murphy L,Abdel—Aty-Zohdy H S,Hashem-Sherif M 2005 48th Midwest Symposium on Circuits and Systems Cincinnati, Ohio, August 7-10,2005 p1729
[6] Li J,Jing B,Yang Y X 2009 Acta Electronica Sinica 37 1037(in Chinese) [李剑、景博、杨义先 2009 电子学报 37 1037]
[7] Gao G,Zhou D F,Zhang J,Huang J J,Li D R 2008 Acta Electronica Sinica 36 1041(in Chinese) [高贵、周蝶飞、张军、黄纪军、李德仁 2009 电子学报 36 1041]
[8] Zhang W J,Liu Q 2009 9th International Conference on Hybrid Intelligent Systems Shenyang,LiaoNing,China,August 12—14,2009 p511
[9] Xu Z J,Nie Q M,Li P H 2009 Acta Phys. Sin. 58 2878(in Chinese) [徐志君、聂青苗、李鹏华 2009 58 2878]
[10] Li J L,Lü B D 2008 Acta Phys. Sin. 57 3006(in Chinese) [李建龙、吕百达 2008 57 3006]
[11] Forrest S,Hofmeyr S,Somayaji A 2008 24th Annual Computer Security Applications Conference Anaheim, California, December 8—12,2008 p418
[12] Harper R,Blair A 2006 8th IEEE Congress on Evolutionary Computation(CEC 2006) Vancouver, Canada, July 16—21,2006 p2638
[13] Erwin Kreyszig 1978 Introductory functional analysis with applications 1st Edition (New York: John Wiley & Sons. Inc.) p72
[14] Zhang S S 1984 Fixed Point Theory and applications 1st Edition (Chongqing: Chongqing Press)p8—9(in Chinese)[张石生 1984 不动点理论及应用 第一版(重庆:重庆出版社) 第8—9页]
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