本文選題：信號檢測　切入點(diǎn)：Duffing振子　出處：《哈爾濱工業(yè)大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：信號檢測是通信領(lǐng)域的重要環(huán)節(jié),無論是合作方抑制頻偏的信號接收還是非合作方掃描信號的信號檢測,都需要先準(zhǔn)確地檢測到信號的載波頻率。而現(xiàn)代通信要求在更低的信噪比條件下,利用更少的先驗(yàn)知識,檢測更復(fù)雜的信號,為此人們提出利用非線性方法代替?zhèn)鹘y(tǒng)的線性方法實(shí)現(xiàn)低信噪比的信號檢測。非線性方法對噪聲的抵抗能力強(qiáng),能夠在更低的信噪比條件下檢測信號,但是目前還停留在理論階段,沒有實(shí)際應(yīng)用。Duffing振子作為混沌理論的典型代表是一個(gè)很好的非線性系統(tǒng),能夠用來檢測信號的載波頻率,但是傳統(tǒng)的基于Duffing振子的信號檢測方法都是在寬帶噪聲的基礎(chǔ)上研究的,而且只關(guān)注了一個(gè)信號的問題。為此,本論文以高功率譜密度帶限高斯噪聲為基礎(chǔ),利用單音信號模擬信號之間的干擾,研究基于Duffing振子的新的信號檢測方法,以適合更加普遍的通信環(huán)境。本論文首先研究了Duffing振子的基本原理,對差分振子進(jìn)行分析,得到更合適的參數(shù)及閾值選擇方法。然后分析了高功率譜密度帶限噪聲對傳統(tǒng)的Duffing振子檢測信號方法的影響,驗(yàn)證了Duffing振子對噪聲和單音干擾的抵抗能力。進(jìn)而將噪聲帶入到Duffing振子的模型中,得到了在高功率譜密度帶限噪聲條件下的Duffing振子新狀態(tài),理論推導(dǎo)了Duffing振子周期狀態(tài)出現(xiàn)概率隨策動力幅值初始值的變化規(guī)律,并重新定義了廣義周期狀態(tài)和廣義混沌狀態(tài),通過檢測PSTR(周期狀態(tài)持續(xù)時(shí)間比重)穩(wěn)定值判斷Duffing振子狀態(tài)。隨后在此基礎(chǔ)上提出了廣義間歇混沌現(xiàn)象及理論,并建立了基于廣義間歇混沌的信號檢測方法。最后利用MATLAB設(shè)計(jì)了信號檢測平臺,驗(yàn)證了在高功率譜密度帶限噪聲條件下,基于廣義間歇混沌的信號檢測方法在單信號和多信號檢測中的可行性,并通過與其他檢測方法的比較,驗(yàn)證了該方法的優(yōu)越性。
[Abstract]:Signal detection is an important link in the field of communication. Modern communications require less prior knowledge to detect more complex signals under lower signal-to-noise ratio (SNR) conditions. Therefore, the nonlinear method is proposed to replace the traditional linear method to detect the signal with low SNR. The nonlinear method has strong resistance to noise and can detect the signal under the condition of lower SNR. But at present, it is still in the theoretical stage, and no practical application of .duffing oscillator as a typical representative of chaotic theory is a good nonlinear system, which can be used to detect the carrier frequency of the signal. However, the traditional signal detection methods based on Duffing oscillator are studied on the basis of wideband noise, and only one signal problem is concerned. Therefore, this paper is based on high power spectral density band-limited Gao Si noise. A new signal detection method based on Duffing oscillator is studied by using the interference between the analog signals of single tone signal, which is suitable for more general communication environment. In this paper, the basic principle of Duffing oscillator is studied, and the differential oscillator is analyzed. A more suitable parameter and threshold selection method is obtained, and then the influence of high power spectral density band-limited noise on the traditional Duffing oscillator detection signal method is analyzed. The ability of Duffing oscillator to resist noise and monophonic interference is verified. Furthermore, the noise is introduced into the model of Duffing oscillator, and a new state of Duffing oscillator is obtained under the condition of high power spectral density band-limited noise. The variation of the occurrence probability of the periodic state of the Duffing oscillator with the initial value of the amplitude of the excitation force is derived theoretically, and the generalized periodic state and the generalized chaotic state are redefined. The state of Duffing oscillator is judged by detecting the stable value of PSTR (periodic state duration specific gravity). Based on this, the generalized intermittent chaos phenomenon and its theory are proposed. A signal detection method based on generalized intermittent chaos is established. Finally, a signal detection platform is designed by using MATLAB, which verifies that under the condition of high power spectral density band-limited noise, The feasibility of signal detection method based on generalized intermittent chaos in single signal detection and multi-signal detection is verified by comparing with other detection methods.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TN911.23

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