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Nonlinear differential equations of a Weak Signal Detection

In the initial phase of the signal received between the two. If there is no noise, the signal from the preceding analysis shows that total can be detected, but noise is everywhere. Experiment will increase port = 1 * 1O a, phase = 0.125r ~ * i, i = 0.5,1.5, ..., 15.5,ugg prezzo,, l (t) the power of stare = 5 * 1O0 ( When i = 5.5,13.5, the signal amplitude port: 2 * 10 a,, l (t) the power to stare = 2 * 1O a signal to noise ratio SNR: 90dB for a signal to be detected were added to the corresponding phase is: 0.125rt * i, i = 0,1, ..., 15 in all equations, and then separately 4o times Monte-Carlo simulation, the state equation are periodic. Therefore, in the initial phase between the two The same signal can be detected. General on the use of (1O)-type nonlinear differential equations can be simultaneously detected as low signal to noise ratio SNR = 90dB the random phase of a weak sinusoidal signal extracted. 3 Conclusion of the chaos Weak signal detection theory based on nonlinear differential equations proposed random phase detection method of weak signal, weak signal detection from the chaos the ideal expansion to the practical application of a step. Theoretical analysis and computer simulations show that the method is very successful. When the signal arrival time is unknown, as adopted by differential equations proposed in this paper the method combined with the existence of chaos equation into the cycle to detect the arrival time of transition section, but the signal to noise ratio required to detect increased slightly, given the length, the issue will be discussed. References: [1] BirxDL.Chaolico6e ~ llator8and (2rIFFleSfordet ~ oninnoiseenviroranents [J]. nosebleed InternationalJointConfe, rellK ~ ollneuralnetworks, 1992, (2) ~ 881-888. [ ,],[. JournalofChinaInstituteofComunicatiom, 2OO3, 24 (4) :25-30. [Li Yue,air jordans, Bao-Jun Yang, SHI Yao-wu. nV chaotic level sine signal detection method [J]. Communications, 2OO3, 24 (4): 25 - 30.] [4] CloUdsGB,ugg milano, TsatsanisMK.sig.atdeteelionandcllI ~ Ca-tionu8ingmatched song eliIlgandlligheroldersta ~ sties [J]. TramOil turn Shan Qing, 1990,38 (7) :1284-1296. [5] aohertJ.Apl turtle �� ofnonlinearsystemswithradialbagisfUllClJonneural , letw ~ rj]. nosebleed TramOnNetwork8, 2001,ed hardy clothing,12 (1) :10-12. r6] t ~ 7 ~ 'ei,air jordan shoes cheap, Jttttiho, GuQitai.Applic.tio.ofwavelettrs ~ orm8forreal-timedetectionweakradar8ignals [J]. Journal,, fTsi , ~ uaIJnivemty (Sci ~ ech), 2OOO, 4o (5) :50-53. [7] LjuZealgrong.Pemlrbationcriteriaforoh/to6 [M].: Sciell ~ Cand'rech. oloo ~ EducationpnhliRhlntgHome, 1994. [LIU Zeng-rong. chaos perturbation criterion [M]. Shanghai: Shanghai Science and Technology Education Press, 1994.] (edit Yang Bei)

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