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高阶累积量和分形理论在信号调制识别中的应用研究 总被引:1,自引:0,他引:1
提出了将信号高阶累积量和分形盒维数相结合的特征提取方法。信号高阶累积量特征具有良好的抗噪性能,被广泛应用于调制识别。2ASK和BPSK的高阶累积量、以及2FSK,4FSK,8FSK的高阶累积量相等,使得只提取信号高阶累积量不足以区分信号。针对这一问题,引入信号的分形盒维数,提取信号的高阶累积量和分形盒维数构成联合特征参数,构建级联神经网络分类器,对信号进一步进行分类。对2ASK,4ASK,BPSK,4PSK,2FSK,4FSK,16QAM七种信号进行了仿真,结果表明,该方法提取的特征参数计算复杂度低,具有较好的抗噪性能。在信噪比不低于5dB、测试样本数不少于200的条件下,正确识别率达到了85"以上。 相似文献
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改进的基于分形盒维数的共信道多信号存在性检测算法 总被引:1,自引:0,他引:1
针对时频重叠的共信道多信号存在性检测问题,提出了一种改进的基于分形盒维数的算法。算法用瞬时幅度的盒维数作为检测统计量,通过理论推导得出噪声瞬时幅度的盒维数为一定值1.415,共信道多信号瞬时幅度的盒维数近似等于1,并以此得出了检测的理论门限。如果接收信号瞬时幅度的盒维数小于设定的检测门限则说明有信号,否则没有信号。共信道多信号为MASK、MPSK、MQAM和MFSK任意类型混合时,仿真结果表明在加性高斯噪声背景下算法准确有效,信噪比大于-2dB时检测概率达到100%且虚警概率极低。另外,算法对信号调制类型、调制参数、信号源个数具有很好的鲁棒性,计算简单复杂度低、可实时处理。相比于已有研究,本算法门限值的设定更加精确,检测性能有大幅提升。 相似文献
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利用噪声与授权信号分形盒维数的差异,可以对授权用户是否存在进行检测.但判决门限只是凭借经验进行设定,虚警概率无法进行量化计算.因此提出一种基于分形盒维数的恒虚警门限计算方法.通过实验拟合可知,噪声盒维数的大致服从高斯正态分布,利用恒虚警检测可得到判决门限.仿真结果表明,基于该假设的门限值在检测概率一定的条件下,所得到的虚警概率与设定值相同,提高了感知结果的可信性和算法的可靠性. 相似文献
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本文引入时变分形Weistrass—Mandelbrot函数描述海面的局部动态特征,采用Kirchhoff解近似分析电磁散射场的时域分形特性,导出了海面电磁散射系数的分形模型。理论分析和试验结果表明,海面的散射回波信号保留了海面的一些分形特征,散射系数属于分形函数,其盒维数与海面的分形维数近似相等。 相似文献
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In this paper the fractal characteristics of the received multipath signals of impulse radio ultra-wideband communication system are analyzed and proved using over-value function. The scale-invariant interval can be determined by the over-value function. The over-value functions of the received multipath signals of IR-UWB are computed according to the simulated signals, measured signals and channel model based proof, respectively. The curves of the over-value functions of the above are of the same form. For the above function curves, the double logarithmic graphs are computed to find the linear segment with the opposite of the fractal dimension as its slope, where the scale-invariant interval can be determined. The signals with strong noise are not fractals and the scale-invariant interval cannot be found. The analysis above can be helpful to improve the signal receiving techniques in IR-UWB. The conclusion is that the IR-UWB signal displays fractal characteristics on its scale-invariant interval. 相似文献
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1/f分形噪声的一种多尺度Kalman滤波方法 总被引:2,自引:0,他引:2
针对淹没在1/f分形噪声中的有用信号恢复问题,提出了一种基于小波变换与Kalman滤波的多尺度滤波算法。首先将带有1/f分形噪声的信号分解成多尺度的子带信号,通过小波变换对1/f分形噪声的白化作用,消除了1/f分形噪声的自相似性和长程相关性。然后在小波域内,利用Kalman滤波实现了噪声和有用信号的分离,估计出了各子带中的有用信号。最后进行小波重构,较好地恢复出淹没在1/f分形噪声中的有用信号。仿真实验表明,使用多尺度Kalman滤波器能有效地抑制分形噪声,显著地提高了信噪比。 相似文献
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针对信号调制类型识别的问题,提出一种新的基于分形盒维数和归一化峰度的信号调制类型识别算法.该算法具有计算复杂度低、抗噪性能强的优点.仿真实验结果表明该算法在高斯白噪声环境下信噪比大于-5 dB时,实验使用的几种信号的平均分类正确率超过97%,信噪比大于0 dB时,分类正确率均接近100%. 相似文献
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针对低信噪比条件下雷达信号识别算法对噪声敏感的问题,提出了一种基于三维特征的雷达信号脉内调制识别算法。该方法通过提取信号的差分近似熵、调和平均分形盒维数和信息维数特征组成三维特征向量,使用遗传算法优化的BP神经网络分类器实现雷达信号的分类识别。仿真结果表明,所提取的三维特征在信噪比为-4~10 dB变化范围内具有较好的类内聚集度和类间分离度,可以实现对不同雷达信号进行识别,证实了该方法的有效性。 相似文献
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针对淹没在1/f噪声中的有用信号恢复问题,本文提出了一套基于双正交小波变换与Wiener滤波的多尺度滤波算法,并设计出多尺度Wiener滤波器.首先,利用双正交小波变换将带有1/f噪声的信号分解成多尺度的子带信号,通过小波变换对1/f噪声的白化作用,消除了1/f噪声的非平稳性、自相似性和长程相关性.其次,在小波域内,利用Wiener滤波,实现了噪声和有用信号的分离,估计出了各子带中的有用信号.最后,利用双正交小波的精确重构性,较好地恢复出淹没在1/f噪声中的有用信号.仿真实验表明,该滤波器能有效的抑制分形噪声,显著地提高信噪比. 相似文献
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Characterizing chaos through Lyapunov metrics 总被引:1,自引:0,他引:1
W. Kinsner 《IEEE transactions on systems, man and cybernetics. Part C, Applications and reviews》2006,36(2):141-151
Science, engineering, medicine, biology, and many other areas deal with signals acquired in the form of time series from different dynamical systems for the purpose of analysis, diagnosis, and control of the systems. The signals are often mixed with noise. Separating the noise from the signal may be very difficult if both the signal and the noise are broadband. The problem becomes inherently difficult when the signal is chaotic because its power spectrum is indistinguishable from broadband noise. This paper describes how to measure and analyze chaos using Lyapunov metrics. The principle of characterizing strange attractors by the divergence and folding of trajectories is studied. A practical approach to evaluating the largest local and global Lyapunov exponents by rescaling and renormalization leads to calculating the m Lyapunov exponents for m-dimensional strange attractors either modeled explicitly (analytically) or reconstructed from experimental time-series data. Several practical algorithms for calculating Lyapunov exponents are summarized. Extensions of the Lyapunov exponent approach to studying chaos are also described briefly as they are capable of dealing with the multiscale nature of chaotic signals. The extensions include the Lyapunov fractal dimension, the Kolmogorov--Sinai and Re/spl acute/nyi entropies, as well as the Re/spl acute/nyi fractal dimension spectrum and the Mandelbrot fractal singularity spectrum. 相似文献
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针对超宽带频带内授权信号类型确定的特点,为了弥补盒维数检测不能够有效识别信号类型的缺点,提出通过进一步提取信息维数特征对信号调制样式进行识别,该方法融合了盒维数检测和信息维数检测的优点进行合作判决。仿真表明基于信号分形理论的频谱感知能够取得较好的检测效果,且该方法运算复杂度低,对噪声不敏感,能够有效区别噪声与授权信号,抵御模拟授权用户攻击,检测效果优于循环谱检测和能量检测。 相似文献
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Multiscale Wiener filter for the restoration of fractal signals:wavelet filter bank approach 总被引:4,自引:0,他引:4
Bor-Sen Chen Chin-Wei Lin 《Signal Processing, IEEE Transactions on》1994,42(11):2972-2982
A filter bank design based on orthonormal wavelets and equipped with a multiscale Wiener filter is proposed in this paper for signal restoration of 1/f family of fractal signals which are distorted by the transmission channel and corrupted by external noise. First, the fractal signal transmission process is transformed via the analysis filter bank into multiscale convolution subsystems in time-scale domain based on orthonormal wavelets. Some nonstationary properties, e.g., self-similarity, long-term dependency of fractal signals are attenuated in each subband by wavelet multiresolution decomposition so that the Wiener filter bank can be applied to estimate the multiscale input signals. Then the estimated multiscale input signals are synthesized to obtain the estimated input signal. Some simulation examples are given for testing the performance of the proposed algorithm. With this multiscale analysis/synthesis design via the technique of the wavelet filter bank, the multiscale Wiener filter can be applied to treat the signal restoration problem for nonstationary 1/f fractal signals 相似文献