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基于ANC系統(tǒng)非線(xiàn)性次級(jí)通道的FXAP凸組合算法研究

發(fā)布時(shí)間:2018-03-28 07:03

  本文選題:有源噪聲控制系統(tǒng) 切入點(diǎn):仿射投影算法 出處:《大連海事大學(xué)》2017年碩士論文


【摘要】:現(xiàn)代社會(huì)的高速發(fā)展使噪聲污染的問(wèn)題日益突出,因此,噪聲控制是當(dāng)前迫切需要進(jìn)行的工作。傳統(tǒng)的無(wú)源噪聲控制技術(shù)對(duì)高頻噪聲具有較好的控制效果,但對(duì)抑制低頻噪聲作用不大,而人類(lèi)生活環(huán)境多數(shù)處于低頻范圍,因此有源噪聲控制(ActiveNoise Control,ANC)技術(shù)便應(yīng)運(yùn)而生了,并且自適應(yīng)ANC系統(tǒng)因具有自動(dòng)追蹤初級(jí)噪聲統(tǒng)計(jì)特性,控制器特性可時(shí)變的特點(diǎn)成為抑制低頻噪聲的研究熱點(diǎn)。在自適應(yīng)ANC系統(tǒng)中,線(xiàn)性模型雖然能簡(jiǎn)化運(yùn)算和分析,但不能實(shí)際地評(píng)估系統(tǒng)的性能,同時(shí)次級(jí)通道中的信號(hào)轉(zhuǎn)換器、功率放大器、傳感器在把數(shù)字信號(hào)轉(zhuǎn)換模擬信號(hào)或者機(jī)械信號(hào)的過(guò)程中往往會(huì)出現(xiàn)非線(xiàn)性轉(zhuǎn)換。很小的非線(xiàn)性對(duì)算法的性能有著不可忽視的影響。另外,影響自適應(yīng)ANC濾波器的性能因素來(lái)自其自適應(yīng)控制算法和自身的結(jié)構(gòu)兩大主要方面。為此,本文做了以下幾方面的工作:(1)首先建立了單通道前饋?zhàn)赃m應(yīng)ANC系統(tǒng)模型,并分析了該系統(tǒng)的核心—自適應(yīng)濾波器和其對(duì)應(yīng)的自適應(yīng)濾波算法,其中對(duì)濾波-X最小均方算法(FXLMS算法)、濾波-X歸一化最小均方算法(FXNLMS算法)以及濾波-X仿射投影算法(FXAP算法)的性能做了簡(jiǎn)要地介紹和仿真對(duì)比。(2)著重研究在收斂速度和失調(diào)取得較好的平衡的FXAP算法,并在次級(jí)通道處引入飽和非線(xiàn)性函數(shù)g(·),從能量守恒角度深入研究單通道前饋?zhàn)赃m應(yīng)ANC系統(tǒng)中非線(xiàn)性次級(jí)通道下FXAP算法在實(shí)數(shù)范圍內(nèi)的穩(wěn)態(tài)性能和瞬態(tài)性能以及計(jì)算要求,仿真實(shí)驗(yàn)驗(yàn)證了理論分析。(3)為了提高該系統(tǒng)中濾波器的性能,基于凸組合算法和非線(xiàn)性次級(jí)通道下FXAP算法的特點(diǎn),提出了單通道前饋?zhàn)赃m應(yīng)ANC系統(tǒng)中FXAP凸組合算法和非線(xiàn)性次級(jí)通道下FXAP凸組合算法,并分別對(duì)前者在實(shí)數(shù)范圍內(nèi)的穩(wěn)態(tài)均方誤差進(jìn)行理論推導(dǎo),對(duì)后者的計(jì)算要求、平穩(wěn)狀態(tài)和非平穩(wěn)狀態(tài)、高斯噪聲和Bernoulli-Gaussian脈沖噪聲環(huán)境下的性能做了大量地介紹和仿真對(duì)比分析。
[Abstract]:With the rapid development of modern society, the problem of noise pollution is becoming more and more serious. Therefore, noise control is an urgent task at present. The traditional passive noise control technology has better control effect on high frequency noise. But it has little effect on the suppression of low frequency noise, and most of human living environment is in the low frequency range, so active noise control ANC (active noise Control) technology has emerged, and the adaptive ANC system has the statistical characteristics of automatic tracking primary noise. In adaptive ANC systems, the linear model can simplify the calculation and analysis, but it can not actually evaluate the performance of the system, at the same time, the signal converter in the secondary channel. Power amplifiers, sensors, in the process of converting digital signals into analog signals or mechanical signals, there is often a non-linear conversion. The small nonlinearity has an important effect on the performance of the algorithm. The main factors affecting the performance of adaptive ANC filter come from its adaptive control algorithm and its own structure. Therefore, the following work is done in this paper: firstly, the single-channel feedforward adaptive ANC system model is established. The core of the system-adaptive filter and its corresponding adaptive filtering algorithm are analyzed. The performance of FXLMS algorithm, filter X normalized least mean square algorithm (FXNLMS) and filter X affine projection algorithm (FXAP) are briefly introduced and compared with simulation. Speed and misalignment achieve a better balance of the FXAP algorithm, The saturation nonlinear function g (I) is introduced at the secondary channel. From the point of view of energy conservation, the steady-state and transient performance of the FXAP algorithm in the nonlinear secondary channel in the single-channel feedforward adaptive ANC system is studied, as well as the calculation requirements. The simulation results show that in order to improve the performance of filter in this system, the characteristics of convex combination algorithm and FXAP algorithm based on nonlinear secondary channel are verified. The FXAP convex combination algorithm in single-channel feedforward adaptive ANC system and the FXAP convex combination algorithm in nonlinear secondary channel are proposed. The steady-state mean square error of the former in the real range is derived theoretically, and the calculation requirements of the latter are given. The performances of stationary state and non-stationary state Gao Si noise and Bernoulli-Gaussian impulse noise are introduced and simulated.
【學(xué)位授予單位】:大連海事大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類(lèi)號(hào)】:TB535;TN713

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