一种非均匀采样下小信号的检测方法

非均匀采样由于其具有不受采样频率限制、频率分辨率高以及抗混叠等优点,使得其应用十分广泛。但非均匀采样会引起信号的频谱噪声,这样使得非均匀采样下小信号的检测不易实现。本文分析了非均匀采样引起频谱噪声的原因,提出一种基于非均匀采样的小信号检测方法。该方法根据非均匀采样检测得到的大幅度信号,应用陷波器将其消除,降低了由大信号引起的频谱噪声,从而检测出小信号。文中详细说明了陷波方法的原理、陷波器宽度和深度的选择、陷波器中心频率的确定以及陷波器在非均匀采样下的应用,最后给出实验结果。理论和实验表明,基于非均匀采样的陷波方法是一种行之有效的信号频率检测方法,使用该方法处理信号可以得到准确的频率估计效果,检测出信号幅度相差100倍以上的多个信号频率。     

二阶自适应陷波器频率估计方法统计性能分析

为对如何提高自适应陷波器频率估计精度提供参考,通过评估自适应陷波器频率估计方法性能,对基于均方误差函数的自适应陷波器频率估计方法进行了统计性能分析。首先,根据误差函数的不同,将自适应陷波器划分为自适应FIR陷波器和自适应IIR陷波器。然后,将自适应FIR陷波器看作自适应IIR陷波器的特例,重点分析了自适应陷波器的误差函数及稳态下的频率估计统计性能,讨论了自适应陷波器参数对正弦信号频率估计精度和收敛速度的影响。最后,给出正弦信号的频率估计计算结果。结果表明,实际计算结果同理论计算结果一致,证明了统计性能分析的正确性。      

频率无偏估计的有限冲激响应自适应陷波器方法研究

针对现有自适应陷波器频率估计方法结构复杂、抗噪性弱、结果有偏的问题,提出频率无偏估计的有限冲激响应自适应陷波器方法。该方法首先以结构较为简单的FIR自适应陷波器为基础,在分析其误差函数性能的基础上,提出频率估计的迭代递推计算式,提升频率估计的收敛性能;其次,对该频率估计迭代递推计算式进行偏差分析,在分析出偏差产生的原因后,对其进行偏差补偿,提高该方法频率估计精度,获得无偏的频率估计结果;最后,对所提方法进行计算分析,验证所提FIR频率估计方法在收敛性、抗噪性和无偏性等方面的有效性。      

频点自跟踪自适应频率估计器性能研究

基于二阶自适应陷波滤波器的频率估计器是工程上常用的单频信号频率估计器,其前提是参考信号相对输入信号频偏较小.随着频偏的增大,自适应频率估计的偏差和方差也随之增大.本文分析了自适应频率估计器的性能及频偏的影响,得出了自适应频率估计方差下限的公式及达到此下限的条件.提出了频点自跟踪自适应频率估计器.仿真与理论结果均表明相同条件下该估计器较自适应频率估计器明显减小了估计偏差和方差,在中等信噪比下估计方差可减小到自适应频率估计方差的百分之一.只要信噪比不甚低,频点自跟踪频率估计是无偏的且估计方差接近理论下限.     

一种低信噪比下PSK信号载波频率估计方法

提出了一种利用自适应陷波器对单频信号分量衰减的特性估计PSK信号的载波频率的方法。信号通过陷波器滤波,输出能量最小对应的频点即为信号的载波估计频率。仿真结果表明,在低信噪比环境下该方法的估计误差小于1%。     

非均匀采样下小信号检测与重构的陷波方法

非均匀采样由于其具有不受采样频率限制和抗混叠等优点,使得其应用十分广泛.但非均匀采样会引起频谱噪声,使得信号中的幅度小的频率成分不易检出.本文分析了非均匀采样引起频谱噪声的原因,根据非均匀采样检测得到的大幅度信号,应用陷波器将其消除,降低频谱噪声,从而检测和重构出小信号.文中详细说明了陷波方法的原理以及陷波器在非均匀采样下的应用,最后给出实验结果.理论和实验表明,采用陷波方法可以检测和重构出非均匀采样下的小信号.     

卫星导航接收机时域窄带干扰抑制滤波器设计与性能分析

针对卫星导航接收机时域窄带干扰的有效抑制问题,本文首先给出二阶格型IIR陷波器参数设计方法,通过陷波带宽的定量调整,既可以有效抑制窄带干扰,又可以降低卫星信号的失真;其次推导了二阶IIR格型陷波器相关输出信干噪比改善因子的闭合表达式,该表达式相比干扰抑制后信干噪比的改善,更为直观地反映了陷波器对卫星导航信号的影响。理论分析和仿真实验,二阶格型IIR陷波器相关输出信干噪比改善因子与陷波器的带宽参数有关,而与陷波频率无关,且二阶格型IIR陷波器的性能优于最优线性预测Wiener滤波器、最优线性插值Wiener滤波器、五系数FIR滤波器以及二阶直接型IIR陷波器。      

直接扩频序列系统中IIR格型自适应滤波抗多窄带干扰

介绍了一种直接扩频系统中抗多个窄带干扰的多支路自适应IIR陷波滤波算法。通过频率分离 ,在各个支路通过谱线增强器估计干扰的瞬时频率和功率 ,减少了输入信号特征值扩散程度 ,加快了自适应算法收敛速度。采用一种IIR自适应格型陷波滤波技术 ,调整陷波器的深度 ,提高了输出信号信噪比。     

多变量自回归信号信息融合辨识方法

近年来,为了提高系统模型和状态估计的精度,多传感器数据融合引起了广泛关注。对于带白色公共干扰噪声和有色观测噪声的多传感器多变量自回归（AR）模型,当AR模型参数和噪声方差未知时,提出了一种信息融合多段辨识方法,其中采用多维递推辅助变量（MRIV）方法得到AR模型参数的局部和融合估值器,再用相关方法得到局部和融合噪声方差估值器。这些估值器具有一致性,通过一个信号仿真例子验证了其有效性。     

自适应陷波器在连续波引信噪声抑制中的应用

为提高连续波多普勒无线电引信在噪声干扰环境中的工作可靠性,分析了噪声干扰对连续波多普勒无线电引信的影响.根据连续波引信信号的单频率特点,将单频率自适应陷波器应用到引信中,用来对引信通带内的噪声干扰进行抑制,分析了噪声抑制原理,并对噪声抑制效果进行了仿真.仿真结果表明,信噪比为-10 dB时,利用单频率自适应陷波器仍然可...     

A constrained notch Fourier transform

The paper presents a new sliding algorithm for estimating the amplitude and phase of the Fourier coefficients of noise corrupted harmonic signals given a priori knowledge of the signal frequencies. The proposed method is similar in principle to the notch Fourier transform (NFT) technique suggested by Tadokoro et al. [1987] except that it employs an infinite impulse response (IIR) rather than a finite impulse response (FIR) notch filter parameterization. This modification provides bandwidth controlled bandpass (BP) filters whose center frequencies are equally spaced in the frequency spectrum. In this sense, the proposed technique can be regarded as a constrained notch Fourier transform (CNFT). Sliding algorithms have been derived for both the NFT and CNFT for the purpose of estimating the Fourier coefficients of the sinusoidal components. The paper also proposes a similar algorithm to the CNFT for the signals containing sinusoids at arbitrary known frequencies. The main feature of the modified CNFT is that it uses second-order IIR BP filters whose bandwidth and center frequency can be adjusted independently. The bandwidth control aspect provides the user with an efficient means of achieving the required resolution as well as reducing spectral leakage. In general, the proposed approach leads to considerable reduction in terms of computational burden and memory storage     

Convergence analysis of an adaptive pseudolinear-regression notch filtering algorithm

This paper analyzes the convergence properties of an adaptive pseudolinear regression notch filtering algorithm recently proposed in the literature for estimating the frequencies of multiple sine waves from measurements corrupted by possibly colored additive noise. Simple necessary and sufficient conditions for the local convergence of this algorithm to the true frequency values are derived. It is shown that the algorithm has an interesting decoupling property in the sense that satisfaction of the convergence condition by a certain frequency implies local convergence to that frequency no matter whether the other frequencies satisfy or do not satisfy the convergence conditions. However, it is also shown that the algorithm is not generally convergent and, therefore, cannot be recommended for widespread use in applications. Numerical examples are used to illustrate the main points in the theoretical analysis.The work of A. Nehorai was supported by the Air Force Office of Scientific Research, under Grant No. AFOSR-90-0164.     

Multiple fully adaptive notch filter design based on allpasssections

We develop a canonical, adaptive cascade-structure IIR notch filter to detect and track multiple time-varying frequencies in additive white Gaussian noise. The algorithm uses allpass frequency transformation filters and a truncated gradient. Simulations indicate that our algorithm is computationally simple, converges rapidly, and has good frequency resolution     

A complex adaptive notch filter using modified gradient algorithm

A modified gradient algorithm is developed for improving the convergence speed of a first-order complex adaptive IIR notch filter, which is used for estimating an unknown frequency of a complex sinusoidal signal embedded in white Gaussian noise. The new cost function using new error criterion is presented and analyzed theoretically. The proposed technique can significantly improve the convergence speed as compared with a complex notch filter using plain gradient algorithm. The computer simulations are conducted to demonstrate the validity of the proposed complex adaptive notch filter.     

Novel adaptive IIR filter for frequency estimation and tracking [DSP Tips&Tricks]

In many applications, a sinusoidal signal may be subjected to nonlinear effects in which possible harmonic frequency components are generated. In such an environment we may want to estimate (track) the signal's fundamental frequency as well as any harmonic frequencies. Using a second-order notch filter to estimate fundamental and harmonic frequencies is insufficient since it only accommodates one frequency component [1], [2]. On the other hand, applying a higherorder IIR notch filter may not be efficient due to adopting multiple adaptive filter coefficients.     

一种应用于限制零极点位置复数陷波器的迭代算法

基于最小均方误差准则(MMSE),本文推导出了一种修改限制零极点位置的一阶复数陷波器权值迭代算法,并进而提出了一种新的可应用于矩阵型高阶陷波器的自适应权值修改算法,该高阶陷波器由一阶陷波器作为陷波单元构成。该迭代算法直接修改陷波器权值的指数,因而在算法迭代过程中能够将高阶复数陷波器的极点始终限制在单位圆内,从而保证了陷波器的稳定工作。仿真结果表明,采用该算法的一阶和高阶复数陷波器工作稳定,对输入陷波器的宽带信号损伤小,且能快速跟踪和有效抑制其中的强单/多频信号。     

欠采样环境下信号多频率估计

在信号欠采样环境下,本文基于时延技术和MUSIC算法提出了一种新的信号多频率估计方法.只要合适地选取时延器的延迟时间,频率估计是无模糊的.计算机模拟实验表明此方法是可行的.     

MULTIPLE FREQUENCIES ESTIMATION OF SIGNAL WITH SUB-SAMPLING

Based on time delay technology and MUSIC algorithm, a novel estimating multiple frequencies approach of signal with sampling rate which is least Nyquist sampling rate is presented in this paper. With choosing delay time properly, the estimated frequencies are unambiguous. Computer simulation confirms its availability.     

一种改进的自适应格型陷波算法及其收敛性分析

现有自适应格型陷波器中的引入算子取自局部误差信号,在迭代过程收敛后存在陷波频率偏移的问题,影响了滤波的效果.本文对级联格型陷波滤波器的自适应算法进行了讨论,分析了陷波参数估计与引入算子的关系,在推导原算法迭代误差的数学期望方程基础上,提出一种改进的自适应滤波算法.该算法在不增加计算量的前提下,克服了原算法在收敛后存在的陷波频率偏移的不足.仿真结果与理论分析相一致,证实了该算法的收敛性能优于原有的算法.