Generalized Uncertainty Inequalities on Fisher Information Associated with LCT

Uncertainty principle plays an important role in multiple fields such as physics, mathematics, signal processing, etc. The linear canonical transform(LCT) has been used widely in optics and information processing and so on. In this paper, a few novel uncertainty inequalities on Fisher information associated with linear canonical transform are deduced. These newly deduced uncertainty relations not only introduce new physical interpretation in signal processing, but also build the relations between the uncertainty lower bounds and the LCT transform parameters a, b, c and d for the first time, which give us the new ideas for the analysis and potential applications. In addition, these new uncertainty inequalities have sharper and tighter bounds which are the generalized versions of the traditional counterparts. Furthermore, some numeric examples are given to demonstrate the efficiency of these newly deduced uncertainty inequalities.     

Uncertainty Principle for the Quaternion Linear Canonical Transform in Terms of Covariance

An uncertainty principle(UP), which offers information about a signal and its Fourier transform in the time-frequency plane, is particularly powerful in mathematics, physics and signal processing community. Under the polar coordinate form of quaternion-valued signals, the UP of the two-sided quaternion linear canonical transform(QLCT) is strengthened in terms of covariance.The condition giving rise to the equal relation of the derived result is obtained as well. The novel UP with covariance can be regarded as one in a tighter form related to the QLCT. It states that the product of spreads of a quaternion-valued signal in the spatial domain and the QLCT domain is bounded by a larger lower bound.     

基于线性正则变换的时频信号分离方法

时频信号分析是当今信号处理领域研究的一个热点问题,各种时频分布函数得到了广泛的研究和应用。线性正则变换是一种重要的时频分析工具。文中研究了线性正则变换与传统时频分布函数的关系;并基于这些关系,提出了一种新的时频信号分离方法,能够把在时频面上互不重叠、但在时域和频域均存在较强耦合的多分量合成信号有效地分离。仿真实例表明了该方法的正确性和实用性。     

信号测不准原理的量子诠释

根据量子力学的测不准原理,采用力学量算符的方法得到了信号在时频分析时的测不准原理,并对该原理进行量子诠释,认为信号在某种意义下可以看作是一个存在波粒二重性的类量子系统,正是由于信号的波粒二重性导致无法同时准确地测定信号的时间和频率。在证明信号测不准原理的同时得到了信号的频率算符,该算符具有广阔的理论应用前景。信号的量子诠释在揭示信号量子本质的同时,为量子力学中的理论框架应用于信号处理提供了理论支持。     

LabVIEW在数字信号处理中的应用

本文简要介绍了数字信号处理中的一些基本原理,分析了频域与时域的联系,并在此基础上给出了LabVIEW在数字信号处理中的应用及其优势。     

EMD及其在脑电分析中的应用研究

基于经验模态分解(EMD)的数据分析方法,是一种针对非线性、非平稳信号处理的新方法.使用EMD法可以将任意复杂的数据信号分解为多个有限的、数据量较小的“本征模函数”(IMF).这些本征模函数很适合求其Hilbert变换.信号的局部能量和瞬时频率都可以从其本征模函数中推导出来.这个完整的能量-频率-时间关系称为Hilbert谱,它是一种分析非线性、非平稳信号的理想方法.介绍了EMD法的原理和实现过程,给出了多个实例的本征模函数和Hilbert谱.并展示了它在非稳态信号处理中的特性.同时,还探索将这种基于EMD的分析方法应用于脑电信号的分析中,并给出了脑电信号的部分本征模函数(IMF)分量及Hilbert振幅和频谱图.试图用一种新的方法分析复杂的非平稳脑电信号.     

Speech Encryption in Linear Canonical Transform Domain Based on Chaotic Dynamic Modulation

In order to transmit the speech information safely in the channel, a new speech encryption algorithm in linear canonical transform(LCT) domain based on dynamic modulation of chaotic system is proposed. The algorithm first uses a chaotic system to obtain the number of sampling points of the grouped encrypted signal. Then three chaotic systems are used to modulate the corresponding parameters of the LCT, and each group of transform parameters corresponds to a group of encrypted signals. Thus, each group of signals is transformed by LCT with different parameters. Finally, chaotic encryption is performed on the LCT domain spectrum of each group of signals, to realize the overall encryption of the speech signal. The experimental results show that the proposed algorithm is extremely sensitive to the keys and has a larger key space. Compared with the original signal, the waveform and LCT domain spectrum of obtained encrypted signal are distributed more uniformly and have less correlation, which can realize the safe transmission of speech signals.     

电磁信号时间反演的实现方法研究进展

讨论了基于数字信号处理技术和模拟信号处理技术实现时域电磁信号时间反演的两类方法.前者可以直接对时域信号进行采样处理或通过在频域中进行相位共轭变换,实现时域信号时间反演;后者基于时域成像原理实现时域电磁信号的时间反演处理,包括微波光子技术和全电子技术两种方案.     

一种计算时基失真估计不确定度的新方法

提出一种计算时基失真估计不确定度的新方法,讨论了时基失真估计过程中权值计算,理论推导以及仿真实验表明:只要谐波幅度比较小,多次谐波信号的方差都可以用含有基波方差来代替;给出了一种新的时基失真不确定度的定义以及一种实用的时基失真估计不确定度的计算方法.仿真实验验证了这个近似的估算公式的合理性以及可应用性.抖动方差以及加性噪声方差对时基失真估计的不确定度有一定的影响.     

超声导波无损检测中的信号处理研究进展

针对信号处理在超声导波检测正问题与逆问题中的不同作用,对若干常用信号处理方法,包括时频分析、小波变换、相关分析法等进行了综述;对希尔伯特-黄变换等方法进行了介绍,表明信号处理在提高信号的可读性、提高缺陷的检测与识别能力、表征被检对象的性能属性等方面具有重要作用．     

正则方程与最小应变能原理

本文就线弹性静不定系统中力法与卡氏第二定理的应用,讨论正则方程与最小应变能原理在静不定系统中的普遍意义。     

New smart noise jamming of radar signal frequency modulation

A new frequency modulation smart noise jamming technique is proposed against the radar linear frequency modulation(LFM) signal and pulse compression processing.The jamming signal is acquired by modulating the received radar signal frequency with gause white noise.It can produce frequency domain deceptive jamming and Doppler frequency narrowband noise jamming according to the gause white noise bandwidth.This smart noise jamming signal has much correlation with the radar signal, can get a high pulse compression gain after matched filtering and raising the jamming power efficiency.     

Linearization of T-S fuzzy systems and robust H_∞ control

Takagi-Sugeno (T-S) fuzzy model is difficult to be linearized because of membership functions included. So, novel T-S fuzzy state transformation and T-S fuzzy feedback are proposed for the linearization of T-S fuzzy system. The novel T-S fuzzy state transformation is the fuzzy combination of local linear transformation which transforms local linear models in the T-S fuzzy model into the local linear controllable canonical models. The fuzzy combination of local linear controllable canonical model gives controllable canonical T-S fuzzy model and then nonlinear feedback is obtained easily. After the linearization of T-S fuzzy model, a robust H _∞ controller with the robustness of sliding model control (SMC) is designed. As a result, controlled T-S fuzzy system shows the performance of H _∞ control and the robustness of SMC.     

复地震道技术在工程物探信号处理中的应用

复地震道技术在石油物探的地震资料处理中应用相当成功,但在工程物探领域应用较少,或应用的效果不好。本文介绍这一技术的基本原理与算法,并将它应用到探地雷达公路探测、锚杆和桩基的弹性波测试、防渗墙的垂直反射法检测等工程物探信号处理中。结果表明,相比于瞬时振幅、瞬时频率,瞬时相位对弱信号检测和异常点提取具有较好的效果。     

基于小波变换的图像处理技术研究

小波变换由于自身具备的时频域局部化特性,能有效地克服Fourier变换在处理非平稳的复杂图像信号时所存在的局限,已成为图像处理的一种重要手段。在简单介绍小波变换基本原理的基础上,举例说明了小波变换在图像去噪、压缩、增强和融合等方面的应用。实验结果表明：将小波变换应用于图像处理可获得良好的处理效果。     

多分辨率域HMT图像去噪增强算法

为了同时削弱wavelet的伪吉布斯现象以及Contourlet的划痕效果,该文根据多分辨率分析原理.在Wavelett域与Contourlet域建立统一的隐马尔可夫树(HMT)去噪模型,实现了对图像的有效去噪与细节增强.该方法具有多向选择性、图像信息并行处理、信息利用率高、多频率图像融合增强等特点.通过仿真实验与Wavelet、Contourlet和Wavelet HMT等去噪算法进行比较,验证了该方法的有效性和优越性.     

智能天线及其性能度量方法研究

智能天线是第三代移动通信不可缺少的空域信号处理技术。本文叙述了智能天线的基本原理,并给出了几种智能天线的性能度量准则。     

时延单元量化误差分析及宽带相控阵数字波束形成

分析了模拟延时线的量化误差会造成信号功率及信号距离分辨率的降低，在基于子阵和发射为线性调频信号的前提下．提出了一种宽带数字接收波束形成方法．该方法先对接收信号拉伸处理和低通滤波．然后在子阵间时域相位加权实现宽带数字波束形成。低通滤波后的数字采样和信号处理均可在低的速率下进行．太大降低了运算量且容易实现。通过计算机仿真得出．数字方法消除了量化误差的影响．波束形成性能比模拟延时线方法有较大的提高．     

开关电容带通滤波器设计原理

利用电容既能线性跟随单踪信号，又能抑制周期性混叠信号的双重能力，文章提出了分时传递信号的带通滤波原理，并依据此原理设计了数字式开关电容带通滤波器，将模拟信号带通滤波器无定式的设计变成了一种数字设计。试验结果表明该带通滤波器特性良好，其带通幅频曲线近于理想的窄方波。同时还研究了n=4的滤波情形。该文为模拟信号的滤波提供了一种新的数字式处理方法与理论。     

Imaging algorithm for highly squinted SAR data processing based on phase disturbing

For quick look imaging, a phase disturbing algorithm (PDA) for focusing synthetic aperture radar (SAR)subaperture data acquired at a high squint angle is proposed. First, the signal model is addressed and then the range processing and azimuth processing are analyzed in detail. The PDA performs the linear range walk correction (LRWC) in the time domain and the range cell curvature correction (RCCC) in the frequency domain to mitigate the range-azimuth coupling. Additionally, a disturbing phase is introduced in the frequency domain to remove the variation of the Doppler chirp rate with the azimuth position caused by LRWC in the time domain,and so an identical reference function can be employed in azimuth processing. Simulated results and raw data processing validate the effectiveness of the proposed algorithm.