Periodic variation method for blind symbol rate estimation

In order to obtain unknown symbol rate of incoming signal at a receiver, in this paper, cyclostationary features of linear digitally modulated signals are exploited by proposed periodic variation method. A low complexity but highly accurate symbol rate estimation technique is obtained. The proposed method is based on a superposed epoch analysis over autocorrelations obtained blindly in different sampling frequencies. The obtained autocorrelations are analyzed in the frequency domain, and it is seen that there are large oscillations when the autocorrelation is obtained around the symbol rate. Then, a superposed epoch analysis is developed in order to estimate symbol rate based of the periodic variations on the frequency responses of autocorrelations. The proposed algorithm is quite accurate in the noisy environment because the noise is having no frequency component after taking Fourier transform of autocorrelations in all sampling rates, and this feature is also valid for the offset frequency that the purposed estimation is not affected by offset frequency. Thus, a successful blind symbol rate estimation algorithm is obtained, and it performs much better error performance than those using the well‐known cyclic correlation based symbol rate estimations, as it is proven by the obtained performances presented in the paper. Copyright © 2013 John Wiley & Sons, Ltd.     

一种改进的广义循环相关熵时延估计方法

针对同频带干扰及脉冲噪声并存的复杂电磁环境下现有时延估计算法性能退化的问题,该文引入双曲正切函数,提出一种改进的广义循环相关熵时延估计(HTGCCE)算法.首先指出脉冲噪声存在时广义循环相关熵算法的优势及性能退化的原因.然后利用双曲正切函数对其进行改进,以提高算法在脉冲噪声下的时延估计性能.仿真实验表明,提出的算法在脉...     

脉冲噪声条件下的相关熵谱估计

基于相关函数的常规功率谱估计方法在脉冲噪声环境中性能下降明显,受大脉冲干扰时甚至会失效。而具有局部相似度量特性的相关熵对脉冲信号的影响并不敏感,能够很好地适应脉冲噪声条件。将受干扰信号的相关熵函数代替自相关函数,得到基于相关熵的功率谱估计方法。通过仿真进行对比验证,结果表明在相同信噪比条件下基于相关熵的功率谱估计方法在α稳定分布噪声环境中更加稳健,特别在大脉冲条件下（α<1.6）能对有用信号进行更加有效的估计,且估计误差的均值和方差值仍保持很低。      

脉冲噪声下基于分数低阶矩的MQAM信号载频与符号率联合估计

针对传统MQAM信号载频与符号率估计算法在脉冲噪声下性能不佳甚至失效的问题,该文结合分数低阶矩与共变理论,推导了MQAM的分数低阶循环谱密度函数,并分析了升余弦脉冲成型条件下的MQAM信号循环谱特征。将分数低阶矩引入离散频域平滑谱(DFSM)估计。提出了一种基于分数低阶矩的MQAM载波频率与符号率联合参数估计算法,采用相邻谱切面求平均的方法,有效的避免了由于分辨率不足造成估计误差。仿真实验结果表明,与二阶DFSM循环谱估计算法相比,本文算法不仅能够抑制脉冲噪声的影响,而且在较为恶劣的噪声条件下均能有效的估计MQAM信号的载频与符号率,具有更好的抗干扰能力与适用性,适用于不同调制阶数的MQAM信号。      

Alpha稳定分布下基于RHMy滤波的MQAM信号码元速率估计方法

针对Alpha稳定分布噪声环境下,传统的MQAM信号码元速率估计方法性能恶化甚至完全失效的问题,本文结合了改进的Myriad类滤波与小波变换法的优点,提出一种基于递归混合Myriad滤波(Recursive Hybrid Myriad filter, RHMy)的高阶消失矩二次小波变换法对MQAM信号进行码元速率估计。首先采用RHMy滤波充分抑制噪声中的脉冲成分,再采用高阶消失矩小波估计码元速率。仿真结果表明,在Alpha稳定分布噪声环境中,相比于多尺度Haar小波变换法、分数低阶循环谱法与基于加权Myriad滤波(Weighted Myriad filter, WMy)的小波变换法,该方法有效的提高了低广义信噪比下的估计精度,同时在不同的脉冲噪声条件下具有较好的鲁棒性。      

低信噪比下周期平稳信号的稳健检测算法

本文提出了一种新的对周期平稳信号进行检测以及对二阶周期循环频率进行估计的算法。该算法利用信号的递归性质构造高阶自相关矩阵,并通过利用周期平稳信号与自相关矩阵特征值和特征向量的关系,对其进行检测以及对循环频率进行估计。传统检测周期平稳信号的算法是通过计算其循环自相关函数或循环谱实现,相比传统算法而言,本算法由于利用到了信号更多的先验信息,因而在较低信噪比以及较低快拍数下对周期平稳信号均能有较好的检测性能。文中仿真实验表明,本文所提算法估计出的伪循环谱相比传统方法估计出的循环谱更为平滑,在相同快拍和信噪比条件下,检测概率均高于传统方法,特别在低信噪比下对检测概率的改善更为明显。      

Blind symbol timing offset estimation for offset‐QPSK modulated signals

In this paper, a blind symbol timing offset (STO) estimation method is proposed for offset quadrature phase‐shift keying (OQPSK) modulated signals, which also works for other linearly modulated signals (LMS) such as binary‐PSK, QPSK, π/4‐QPSK, and minimum‐shift keying. There are various methods available for blind STO estimation of LMS; however, none work in the case of OQPSK modulated signals. The popular cyclic correlation method fails to estimate STO for OQPSK signals, as the offset present between the in‐phase (I) and quadrature (Q) components causes the cyclic peak to disappear at the symbol rate frequency. In the proposed method, a set of close and approximate offsets is used to compensate the offset between the I and Q components of the received OQPSK signal. The STO in the time domain is represented as a phase in the cyclic frequency domain. The STO is therefore calculated by obtaining the phase of the cyclic peak at the symbol rate frequency. The method is validated through extensive theoretical study, simulation, and testbed implementation. The proposed estimation method exhibits robust performance in the presence of unknown carrier phase offset and frequency offset.     

Deep Learning for OFDM Channel Estimation in Impulsive Noise Environments

Impulsive noise suppression is essential in orthogonal frequency division multiplexing (OFDM) systems, since impulsive noise may cause a serious decline in channel estimation performance. To solve this problem, a channel estimator based on denoising autoencoder-deep neural network (DAE-DNN) is proposed in this paper. The proposed method is based on a data-driven deep learning framework. Firstly, DAE preprocesses signals to learn damaged data and recover the complete signal are used in the presence of impulsive noise. Then, the transmitted data processed by DAE are used to train the DNN in the offline training process. Finally, the estimated channel state information (CSI) is offered by the proposed DNN model in the online working process. The simulation results demonstrate that the proposed method improves OFDM channel estimation performance significantly. As expected, the proposed method has a better performance than existing ones, such as least squares, minimum mean square error and orthogonal matching pursuit algorithms. Moreover, the proposed method is robust under impulsive noise environments.

     

Parameter Estimation of LFM Signals Based on Scaled Ambiguity Function

A method based on the scaled ambiguity function for parameter estimation of LFM signals under noncooperative conditions is presented. In the proposed algorithm, the scaling principle is employed to remove the linear frequency migration brought by the coupling between the time variable and the lag variable. Afterward, the Fourier transform is performed for feature extraction of LFM signals on the centroid frequency versus chirp rate plane. The method avoids centroid frequency information loss, which is almost inevitable in the Radon-ambiguity transform. Furthermore, fractional lower-order statistics and the scaled ambiguity transform are combined to improve the performance in practical impulsive noise environments. Simulation results show that the fractional lower-order scaled ambiguity transform is robust for both Gaussian and impulsive noise, and it achieves significant performance improvement in a heavy noise environment.     

Time‐domain equalizer for multicarrier systems in impulsive noise

In multicarrier communication systems, a time‐domain equalizer (TEQ) can be applied to shorten the channel impulse response and to eliminate inter‐symbol interference (ISI). However, the presence of impulsive noise in the channel may paralyze the operation of TEQs and subsequently lead to poor error performance. In this paper, a multicarrier receiver that incorporates a constant false alarm rate algorithm and an iterative estimation technique (CFAR‐IET) in conjunction with a TEQ is proposed to increase the robustness of the receiver against impulsive noise. Furthermore, an improved version of the CFAR‐IET‐TEQ scheme, which uses the buffering, sorting, removing and amplitude averaging (BSRA) processes, is presented. Performance comparisons of the proposed schemes with the existing Gaussian‐optimized schemes are made. Simulation results show that the BSRA‐IET‐TEQ scheme is an effective approach to reduce symbol error rate (SER) in impulsive channels while performing satisfactorily in Gaussian channels. Copyright © 2011 John Wiley & Sons, Ltd.     

Robust adaptive array for wireless communications

In the application of a receiver antenna array to wireless communications, a known signal preamble is used for estimating the propagation vector at the beginning of each data frame. The estimated propagation vector is then used in linear combining of array inputs for interference suppression and demodulation of a desired user's information data stream. Since the training preamble is usually very short, conventional training methods, which estimate the propagation vector based solely on the training preamble, may incur large estimation errors. In many wireless channels, the ambient noise is known to be decidedly non-Gaussian, due to impulsive phenomena. The conventional training methods may suffer further from such impulsive noise. Moreover, performance of linear combining techniques can degrade substantially in the presence of impulsive noise. We first propose a new technique for propagation vector estimation which exploits the whole frame of the received signal. It is shown that as the length of the signal frame tends to infinity, in the absence of noise, this method can recover the propagation vector of the desired user exactly, given a small number of training symbols for that user. We then develop robust techniques for propagation vector estimation and array combining in the presence of impulsive noise. These techniques are nonlinear in nature and are based on the M-estimation method. It is seen that the proposed robust methods offer performance improvement over linear techniques in non-Gaussian noise, with little attendant increase in computational complexity. Finally, we address the extension of the proposed techniques to dispersive channels with intersymbol interference     

A robust adaptive weighted constant modulus algorithm for blind equalization of wireless communications systems under impulsive noise environment

A robust adaptive weighted constant modulus algorithm is proposed for blind equalization of wireless communication systems under impulsive noise environment. The influence of the impulsive noise is analyzed based on numerical analysis method. Then an adaptive weighted constant modulus algorithm is constructed to adaptively suppress impulsive noise. Theoretical analysis is provided to illustrate that the proposed algorithm has a robust equalization performance since the impulsive noise is adaptively suppressed. Moreover, the proposed algorithm has stable and quick convergence due to avoidance of large misadjuntment and adoption of large step size. Simulation results are presented to show the robust equalization performance and the fast convergence speed of the proposed algorithm under both impulsive noise and Gaussian noise environments.     

CPM modulation index estimation using LS and BLUE methods

In this paper, we propose two methods for blind estimation of modulation index of full‐response binary continuous phase modulation (CPM) scheme. Most of previous works assume that there is a single sample for each symbol; thus, they cannot improve their performance when sampling rate is bigger than symbol rate. In our proposed methods, modulation index is estimated using samples of autocorrelation function of the received signal, which is a nonlinear function of modulation index. We propose Taylor expansion for approximating this nonlinear function by a linear function. Then, by choosing some samples of the autocorrelation function, we estimate the modulation index with the least square (LS) estimator. For decreasing estimation errors, in the second proposed method, we apply the statistical properties of the autocorrelation function estimation errors, to design the best linear unbiased estimation (BLUE) estimator. The numerical performance analysis in terms of mean‐squared error (MSE) and bit error rate (BER) shows that the proposed methods outperform the reference methods in accurate estimation of the modulation index.     

冲击噪声下基于混合LL2 -L1 优化求解的CSR 参数估计

针对冲击噪声环境下压缩感知雷达参数估计性能急剧下降的问题,提出一种新的鲁棒性参数估计方法。首先,根据压缩感知雷达参数估计的稀疏线性模型,基于Lorentzian 范数和L1 范数稀疏正则化构造冲击噪声背景下稀疏重构的混合LL2-L1 范数优化模型;然后,利用迭代加权最小二乘法和阈值收缩函数推导上述模型优化求解的一步迭代公式;最后,从理论上对文中算法的收敛性进行证明,并给出算法计算复杂度的定量分析。计算机仿真实验表明,文中算法在冲击噪声下支撑集的重构更精确、重构信号的精度更高、重构的计算量更小。     

一种非数据辅助的连续相位调制信号符号速率估计算法

在对连续相位调制信号（Continuous Phase Modulation, CPM）的循环平稳性分析的基础上,本文推导了其谱频率为载频的循环截面上离散谱线与调制参数的关系,提出一种非数据辅助的CPM信号符号速率估计算法。该算法采用频域谱平滑的方法得到循环谱估计,利用非线性滤波方法进行离散谱线提取,根据信号的谱线特征,判断信号为单指数或多指数CPM信号,进而得到符号速率的有效估计。仿真实验结果表明,该算法不需精确载频估计,具有较好的抗噪声性能,并能用于频率选择性衰落信道。      

Robust and Efficient OFDM Synchronization for FPGA-Based Radios

Orthogonal frequency division multiplexing (OFDM) is a popular modulation technique that can combat impulsive noise, is robust to multipath fading, is spectrally efficient, and can allow flexible allocation of spectrum. It has become a key standard in cognitive radio systems as well as an enabling technology for mobile data access systems. An OFDM receiver’s performance is heavily impacted by the accuracy of its symbol timing offset (STO) and carrier frequency offset (CFO) estimation. This paper proposes a novel OFDM synchronization method that combines robust performance with computational efficiency. FPGA prototyping is used to explore the trade-off between the number of computations to be performed and computation word length with respect to both synchronization performance and power consumption. Through simulation, the proposed method is shown to provide accurate fractional CFO estimation as well as STO estimation in a range of channels. In particular, it can yield excellent synchronization performance in the face of a CFO that is larger than many state-of-the-art synchronization implementations can handle. The system implementation demonstrates efficient resource usage and reduced power consumption compared with existing methods, and this is explored as a fine-grained trade-off between performance and power consumption. The result is a robust method suitable for use in low-power radios, enabling less precise analog front ends to be used.     

一种α稳定分布噪声下OFDM信号调制识别与参数估计算法

正交频分复用（OFDM,Orthogonal Frequency Division Multiple）信号的调制识别与参数估计是非协作通信领域的重要研究内容.为了解决α稳定分布噪声下OFDM信号调制识别与参数估计困难的问题,提出一种广义循环平稳的盲处理算法.该算法首先对接收信号进行非线性变换,推导出接收信号的广义循环自相关函数表达式,分析了单载波调制信号与OFDM信号的广义循环自相关函数特性,并给出了OFDM信号的广义循环自相关函数与待估参数之间的关系.然后,基于分析结论,利用广义循环自相关函数构造调制识别特征完成OFDM信号与单载波信号的调制方式自动分类;最后,针对OFDM信号的调制参数估计问题,提出了一种基于广义循环自相关函数的调制参数估计算法.理论分析与仿真结果表明,在α稳定分布噪声环境下,该算法可以有效实现OFDM信号调制识别与参数估计,且算法不依赖接收信号的先验信息,可以直接对中频接收信号进行处理.     

单载波MPSK/MQAM调制信号的参数盲估计改进算法研究

当对单载波多进制数字相位调制（Multiple Phase Shift Keying，MPSK）和多进制正交幅度调制（Multiple Quadrature Amplitude Modulation，MQAM）等星座类调制信号进行盲解调时，首先须进行频偏和符号速率的盲估计，传统的多次方谱频偏估计算法与二次小波符号速率估计算法具有较好的估计性能，但由于离散傅里叶变换（Discrete Fourier Transform，DFT）的栅栏效应以及噪声的影响，其估计精度和可靠性有限。针对这些问题，本文采用了新的频率估计方法从而减小栅栏效应的影响提高了频偏和符号速率的估计精度，并提出一种基于信噪比（Signal to Noise Ratio，SNR）和谱峰指数的置信度准则，增强了频偏估计的可靠性。以QPSK和16QAM为例，进行了仿真分析，仿真结果表明，改进算法复杂度略高于传统算法，但其性能优于传统算法性能，可以有效提高频偏以及符号速率的估计精度及其可靠性，16QAM和QPSK具有类似的性能趋势，但需要更高的信噪比才能达到和QPSK相同的性能。本文算法鲁棒性强，具有很好的应用价值。      

A Low‐Complexity Planar Antenna Array for Wireless Communication Applications: Robust Source Localization in Impulsive Noise

This paper proposes robust source localization methods for estimating the azimuth angle, elevation angle, velocity, and range using a low‐complexity planar antenna array in impulsive non‐Gaussian noise environments. The proposed robust source localization methods for wireless communication applications are based on nonlinear M‐estimation provided from Huber and Hampel. Simulation results show the robustness performance of the proposed robust methods in impulsive non‐Gaussian noise.     

脉冲噪声环境下高斯稀疏信源贝叶斯压缩感知重构

 大多数现有的压缩感知重构算法对脉冲噪声不具有鲁棒性,在脉冲噪声环境下,重构性能急剧下降,使得整个重构系统崩溃.针对此问题,本文提出了一种脉冲噪声环境下的稀疏重构算法BINSR算法,其基于贝叶斯理论,可以有效地估计出信号的支撑集和脉冲噪声中脉冲的位置,并且根据压缩感知观测序列的democracy特性,利用最小均方误差MMSE估计量,有效地估计出原信号.在此基础上,本文结合鲁棒统计学,提出自适应的ABINSR算法,使其不再依赖于信号以及噪声的统计参数.实验结果表明,BINSR算法在脉冲噪声环境下可以有效地恢复出稀疏信号,很大程度上改善了脉冲噪声环境下算法的重构性能.ABINSR算法不仅对脉冲噪声具有鲁棒性,而且可以在高斯白噪声环境下实现有效的信号重构.