基于约束NMF的盲源分离算法

非负矩阵分解(NMF)是解决非独立源信号混合的盲分离的另一条新途径.该文提出一种基于约束NMF的盲源分离算法,在对NMF估计得到的源信号施加最小相关约束的基础上,对混合矩阵估计施加行列式约束,实现NMF的唯一分解.与已有算法相比,本算法放宽了对混合矩阵的稀疏性要求,大幅提高了信号分离质量.该算法仍适用于独立源信号分离问题.     

基于白化旋转技术的盲分离算法

针对盲信号分离给出了一种基于解相关技术的盲分离算法。根据多源混合信号的各分量间具有一定的相关性的特点(其中包括了二阶相关和高阶相关特性),通过相应的白化、旋转方法能够解除各个分量之间的相关性,从而可以达到对独立信号分量的分离效果。研究表明,对混合信号进行适当的白化、旋转处理,能够有效地消除各阶的相关性,从而实现独立信号的分离。最后给出了实现上述过程的方法、步骤,并进行仿真实验,结果表明该算法对独立源信号能够实现有效的分离。     

带噪的战场声信号盲分离方法研究

提出了一种噪声环境中战场混合声信号盲分离方法.基于含噪的独立分量分析模型,对观测信号进行准白化,去除噪声引起的协方差偏移量;定义观测信号中随机变量的高斯矩为无偏估计的目标函数,最大化此目标函数得到了一种改进的FastICA算法,应用于带噪的战场混合声信号盲分离.仿真实验证明,改进算法能较好改善分离效果,具有很好的鲁棒性.     

一种简化的语音信号盲分离算法

近年来所提出的许多瞬时混合信号盲分离算法大都是基于高阶统计量(HOS：High Order Statistics)，这使得算法不易收敛且计算量较大。在本文中，我们证明了当源信号是非平稳信号(语音信号、音乐信号等)时，使用二阶统计量(SOS：Second Order Statistics)就足以成功地对混合信号进行盲分离，从而，大大简化了计算的复杂度。据此，我们提出一种基于二阶统计量的盲分离算法，并在试验中用此算法成功地分离了语音和音乐的混合信号。     

基于旋转变换的最小互信息量盲分离算法

一种新的实时线性混叠信号盲分离算法在本文提出.该算法先采取白化混叠信号将混叠矩阵转换为正交矩阵,然后基于 QR 分解理论,将混叠信号进行一系列初等旋转变换,并结合源信号相互独立时互信息量最小的特点,导出了一种新的自适应盲分离算法.该方法回避了目前基于信息理论方法中(如Torkkola 1996;Pham 1999;Lee 2000以及谭2000等)对"ln|det w|"的复杂计算.我们不仅给出了详细的理论证明,而且也进行了仿真试验,理论分析与仿真结果表明该算法减少了分离时间,并具有很好的分离效果.     

一种有效的语音信号盲分离方法

频域盲语音信号分离存在着排序模糊问题,提出一种基于相邻频点幅度相关和DOA估计相结合的解排序模糊方法,并且通过对一系列预处理（白化）、独立分量分析和后处理算法的优化和有机组合,很好地实现了卷积混合语音信号的盲分离。用真实录制的语音信号进行了仿真实验,恢复出来的源信号的信干比较分离之前提高了约13dB,证明了算法的有效性。     

一种有效的语音信号盲分离方法

利用语音信号的短时平稳特性,本文提出了一种WVA分布与联合对角化的盲分离方法,该方法采用新的联合差分相关矩阵白化算法去除有色噪声影响,估计出源语音信号,实现对混叠信号的盲分离.通过仿真实验,结果表明,本算法具有分离效果好,能有效的将混叠的盲语音信号分离.     

基于奇异值阈值和DSS的雷达信号盲分离方法

针对含噪阵列接收模型中盲源分离问题,提出了一种基于奇异值阈值Stein无偏风险估计(SURESVT)和去噪源分离DSS的含噪雷达信号盲分离算法,即SURE-DSS算法。该算法首先采用SURESVT算法替换DSS算法中的奇异值分解,求出观测数据在Stein无偏风险估计原则下的奇异值最优阈值,然后对观测数据的奇异值进行紧缩操作,达到提高信噪比的目的,同时完成观测数据的白化,最后对白化后数据进行盲分离。仿真结果表明,该算法能够在含噪阵列接收模型下对雷达信号进行有效分离。     

基于遗传算法的有序盲信号提取

本文针对盲信号分离中,如何根据信号特征进行有序提取的问题进行了探讨,提出了一种基于遗传算法的有序盲信号提取算法.该方法能够确保源信号按照四阶累计量的绝对值降序提取,解决了目前一些基于梯度的提取算法容易陷入局部极值而不能保证有序提取的问题;另外,在信号提取的消源过程中,我们还提出了一种基于Schmidt正交化的消源去相关算法,该方法不仅简化了Cichocki-Thawonmas-Amari(1997)消源算法的复杂计算,同时还对消源后的混叠信号进行了白化.仿真结果表明,该算法能够保证实现盲信号的有序提取.     

一种基于四阶循环累积量的盲源分离方法

盲源分离是指在没有源信号任何先验知识的情况下,只根据多个接收机的观测信号实现对源信号的恢复。本文基于四阶循环累积量提出了一种简单易行的循环平稳信号的盲源分离方法。针对两个信号混合的情况,该方法首先对观测矩阵进行循环白化,使得观测矩阵的循环自相关阵为单位阵,这样分离矩阵变为酉阵,可用单个参数来表示。之后运用循环统计量的性质找到一个评判函数,求得该参数的最佳值从而确定分离矩阵。本文对BPSK信号和AM信号混合的情况分别进行了仿真实验,通过信号分离的直观图、参数选择以及串音误差的分析表明该方法的有效性,并将其与自然梯度算法,循环自然梯度算法做了比较,表明本算法的优势,尤其是在AM信号的分离中更是如此。文章最后讨论了算法的运行时间。      

Parallel interference cancellation for carrier frequency offset in OFDM assisted with recursive least squares algorithm

Parallel interference cancellation (PIC) assisted with recursive least squares (RLS) algorithm is proposed to cancel the interference due to the carrier frequency offset (CFO) in orthogonal frequency division multiplexing (OFDM) system. The proposed algorithm is composed of two stages, which are RLS scheme and PIC scheme. RLS scheme is selected to compensate the frequency offset in the time domain in the first stage, and the interference induced by residual frequency offset is canceled by the PIC scheme in the frequency domain in the second stage. The result of bit error rate (BER) shows that its performance is robust for cancellation as comparison criteria, even though the frequency offset is 0.45. The 16QAM constellation is also simulated to observe the improvements from the proposed suppression schemes.     

Optimal tracking of time-varying channels: a frequency domainapproach for known and new algorithms

In this paper, we developed a systematic frequency domain approach to analyze adaptive tracking algorithms for fast time-varying channels. The analysis is performed with the help of two new concepts, a tracking filter and a tracking error filter, which are used to calculate the mean square identification error (MSIE). First, we analyze existing algorithms, the least mean squares (LMS) algorithm, the exponential windowed recursive least squares (EW-RLS) algorithm and the rectangular windowed recursive least squares (RW-RLS) algorithm. The equivalence of the three algorithms is demonstrated by employing the frequency domain method. A unified expression for the MSIE of all three algorithms is derived. Secondly, we use the frequency domain analysis method to develop an optimal windowed recursive least squares (OW-RLS) algorithm. We derive the expression for the MSIE of an arbitrary windowed RLS algorithm and optimize the window shape to minimize the MSIE. Compared with an exponential window having an optimized forgetting factor, an optimal window results in a significant improvement in the h MSIE. Thirdly, we propose two types of robust windows, the average robust window and the minimax robust window. The RLS algorithms designed with these windows have near-optimal performance, but do not require detailed statistics of the channel     

Combined RLS-LMS initialization for per tone equalizers in DMT-receivers

In discrete multitone receivers, the classical equalizer structure consists of a (real) time domain equalizer (TEQ) combined with complex one-tap frequency domain equalizers. An alternative receiver is based on a per tone equalization (PTEQ), which optimizes the signal-to-noise ratio (SNR) on each tone separately and, hence, the total bitrate. In this paper, a new initialization scheme for the PTEQ is introduced, based on a combination of least mean squares (LMS) and recursive least squares (RLS) adaptive filtering. It is shown that the proposed method has only slightly slower convergence than full square-root RLS (SR-RLS) while complexity as well as memory cost are reduced considerably. Hence, in terms of complexity and convergence speed, the proposed algorithm is in between LMS and RLS.     

Tracking performance of the RLS algorithm applied to an antennaarray in a realistic fading environment

In this paper, frequency domain techniques are used to derive the tracking properties of the recursive least squares (RLS) algorithm applied to an adaptive antenna array in a mobile fading environment, expanding the use of such frequency domain approaches for nonstationary RLS tracking to the interference canceling problem that characterizes the use of antenna arrays in mobile wireless communications. The analysis focuses on the effect of the exponential weighting of the correlation estimation filter and its effect on the estimations of the time variant autocorrelation matrix and cross-correlation vector. Specifically, the case of a flat Rayleigh fading desired signal applied to an array in the presence of static interferers is considered with an AR2 fading process approximating the Jakes' fading model. The result is a mean square error (MSE) performance metric parameterized by the fading bandwidth and the RLS exponential weighting factor, allowing optimal parameter selection. The analytic results are verified and demonstrated with a simulation example     

基于RLS算法的直接序列扩频抗窄带干扰技术

在敌方有意的窄带强干扰下,扩频通信系统可以利用时域自适应滤波算法来抑制干扰。介绍了基于时域预测的自适应滤波RLS算法,仿真结果表明其对DSSS系统中的窄带干扰有较好地抑制效果。     

Fast-converging minimum frequency error RLS lattice filter for narrowband interference with discrete frequency steps

This paper discusses the fundamental convergence and frequency tracking properties of the recursive-least-squares (RLS) lattice filter in the presence of narrowband interference (NBI) whose frequency varies in discrete steps. It is shown for filters of this type, that the residual forward energy (RFE) after a frequency transition is a function of the input signal-to-noise ratio (SNR), separation of the sequential frequencies and the filter time constant and is exponentially decaying in nature. Reducing the RFE is important in removing unwanted transient artefacts from the desired signal. The convergence behaviour of the RLS algorithm based on a posteriori estimation errors is analysed under a number of conditions by varying the SNR and frequency step size. In order to limit the impact of the RFE while maintaining a minimum frequency tracking error in steady conditions, a fast-converging minimum frequency error (FCMFE) RLS lattice filter is suggested. For comparison, a least-mean-square (LMS) based gradient-adaptive lattice (GAL) filter is also analysed for this class of narrowband interference.     

基于压缩感知的分布式协同估计算法

为了降低分布式协同估计算法的计算量并改善其收敛性能,提出了基于压缩感知(CS)和递归最小二乘(RLS)的分布式协同估计算法.该算法在传统RLS分布式协同估计算法的基础上引入压缩感知技术,首先在压缩域中进行递归最小二乘运算,然后利用压缩感知重构算法得到未知参数向量的估计值.提出的算法能够在增量式策略和两种模式的扩散式策略下实现对未知向量的有效估计.理论分析和仿真结果表明,该算法一方面降低了RLS分布式协同估计算法的计算量,另一方面保持较快的收敛速度与良好的均方误差性能.     

Adaptive Filtering Techniques using Cyclic Prefix in OFDM Systems for Multipath Fading Channel Prediction

This paper presents adaptive channel prediction techniques for wireless orthogonal frequency division multiplexing (OFDM) systems using cyclic prefix (CP). The CP not only combats intersymbol interference, but also precludes requirement of additional training symbols. The proposed adaptive algorithms exploit the channel state information contained in CP of received OFDM symbol, under the time-invariant and time-variant wireless multipath Rayleigh fading channels. For channel prediction, the convergence and tracking characteristics of conventional recursive least squares (RLS) algorithm, numeric variable forgetting factor RLS (NVFF-RLS) algorithm, Kalman filtering (KF) algorithm and reduced Kalman least mean squares (RK-LMS) algorithm are compared. The simulation results are presented to demonstrate that KF algorithm is the best available technique as compared to RK-LMS, RLS and NVFF-RLS algorithms by providing low mean square channel prediction error. But RK-LMS and NVFF-RLS algorithms exhibit lower computational complexity than KF algorithm. Under typical conditions, the tracking performance of RK-LMS is comparable to RLS algorithm. However, RK-LMS algorithm fails to perform well in convergence mode. For time-variant multipath fading channel prediction, the presented NVFF-RLS algorithm supersedes RLS algorithm in the channel tracking mode under moderately high fade rate conditions. However, under appropriate parameter setting in \(2\times 1\) space–time block-coded OFDM system, NVFF-RLS algorithm bestows enhanced channel tracking performance than RLS algorithm under static as well as dynamic environment, which leads to significant reduction in symbol error rate.     

基于载波域自适应迭代滤波器的无源雷达多径杂波抑制方法

在无源雷达系统中,监测通道信号中存在零频和非零频多径杂波,影响目标的检测。时域自适应迭代滤波器(如LMS, NLMS, RLS等)常被用于无源雷达杂波抑制,但这些方法只适用于零频多径杂波。该文针对零频和非零频多径杂波的问题,结合数字广播电视信号的正交频分复用波形特征,提出一种基于载波域自适应迭代滤波器的杂波抑制算法。该算法利用同一载频下含有相同多普勒频移的多径杂波的相关性原理,进行杂波抑制。仿真和实测数据处理结果证明了算法的有效性。     

Efficient Algorithms for Adaptive Capon and APES Spectral Estimation

In this paper fast algorithms for adaptive Capon and amplitude and phase estimation (APES) methods for spectral analysis of time varying signals, are derived. Fast, stable, nonrecursive formulae are derived, based on time shifting properties of the pertinent variables. As a consequence, efficient frequency domain recursive least squares (RLS) based, as well as fast RLS based algorithms for the adaptive estimation of the power spectra are developed. Stability issues of the frequency domain estimators are considered, and stabilization procedures are proposed. The computational complexity of the proposed algorithms is lower than relevant existing methods. The performance of the proposed algorithms is demonstrated through extensive simulations.