由小波变换模极大值重构信号的改进解析迭代算法

在分析了经典的重构算法的不足之后，以小波变换的多孔算法电路为依据，提出了一种改进的解析迭代新算法，由信号的各个分解尺度上的小波变换的模极大序列和最大分解尺度上的离散逼近信号，通过迭代直接重构信号。该算法不需要进行小波反变换，也不需要对最大分解尺度上的离散逼近信号进行重采样，而且投影算子是解析形式的，克服了非解析形式投影算子计算量大、程序复杂等缺点。数值仿真试验证明了该算法信号重构的精度较高，收敛速度较快。     

小波变换在水声信号处理中的应用分析

小波变换是一种重要的信号处理方式,需要采取合适的变换形式,提高算法的有效性,保障信号的识别效果.基于此,将从小波变换、数据处理、变换解析、变换算法4个方面对小波变换在水声信号处理中的应用进行了分析,对小波变换使用方法进行了深入探讨,采取正确的小波变换算法,使水声信号的处理更加的精确,更具有实际意义.     

三种B-样条小波基处理重叠信号的比较

以B-样条小波为分析小波，提出了用于分析化学重叠信号解析的新方法一连续样条小波变换。详细讨论了采用二阶、三阶、四阶基数B-样条小波函数时，连续样条小波变换对重叠信号的解析，结果表明：连续样条小波变换应用于分析化学信号的处理，能使峰变窄同时还能提高信号的信噪比，是一种新型有效的重叠信号解析方法；对比三种样条小波基的处理结果，二阶B-样条小波基优于其余两种。     

一种新的面向信号处理的小波变换加速算法

给出了小波分析滤波器系数的解析构造方法,导出了类似于快速Fourier变换的小波快速变换算法.它比著名的小波变换Mallat算法更简单、方便,计算速度更快.同时,它还可以根据分析的信号自适应地选择小波分析滤波器参数.     

双树复小波包变换语音增强新算法

实小波包变换是语音增强中效果较好的一种算法,利用阈值的方法对小波包系数进行压缩进而重构语音信号.分析了实小波包变换的平移敏感性,以及其对语音进行增强时的缺陷.提出采用双树复小波包变换方法进行语音增强,当低通滤波器和高通滤波器对应的小波基近似为希尔伯特变换对时,该变换能大大减小实小波包变换中的平移敏感性.同时考虑小波包系数之间的相互关系,提出了重叠块复阈值算法.结果表明,算法优于传统实小波包变换及点阈值算法,尤其对含周期噪声的语音信号,双树复小波包变换算法的优势更为明显.     

基于小波与小波包的变速器故障特征提取

本文结合自适应小波变换滤波去噪方法与小渡阈值去噪方法,提出了一种可用于变速器故障振动信号去噪的双层滤波去噪算法.该算法的滤波过程分为两层,第一层滤波采用自适应小波变换滤波算法;第二层滤波采用经典的小波阈值去噪算法对信号进行二次去噪.最后,将去噪后的故障信号采用小波包进行了分解,并提取了小波包频带能量作为故障特征向量.     

小波变换在输油管道泄漏检测定位系统的应用

介绍了一种基于小波变换的输油管道泄漏检测与定位系统,根据小波变换与信号奇异性之间的关系,采用小波变换模极大值算法对输油管道的压力信号进行奇异点检测,利用检测到的奇异点进行泄漏的定位。     

基于PRI变换和小波变换的雷达信号分选

分析了脉冲重复间隔（PRI）变换算法和小渡变换算法的基本原理，针对两种算法在雷达信号分选中的优缺点，提出了一种基于PRI变换和小波变换相结合的雷达信号综合分选方法。该方法首先利用PRI变换对雷达信号粗分选，然后应用小波变换进行细分选。仿真结果表明，在信噪比不低于10dB的条件下，该方法准确可行。     

小波变换在数据压缩中的应用

回顾了小波变换理论与信号处理的关系，探讨了小波变换的多分辨思想和Nallat算法，并应用小波变换和Huffman编码方法对信号进行压缩，取得了很好的压缩效果。     

基于卷积型小波包变换的信号消噪算法

提出了卷积型小波包变换，与传统小波包变换相比。在这种小波包变换中不管信号被分解多少层，每层分解得到的各频道序列长度始终与原始信号一致，利用这一性质本文进一步提出并实现了对小波包分解结果利用模极大值法进行消噪的算法。这一算法的思想来自于基于小波变换的模极大值消噪算法，但是由于小波包分解是对小波分解的结果作进一步细分，在小波分解中难于分离的高频噪声将被小波包充分分离与集中到后面的频道，因此基于小波包变换的模极大值消噪算法将会取得比小波消噪更好的效果。文中给出了信号的小波包消噪实例，并与小波消噪的效果进行了对比，结果表明小波包有更优良的消噪效果。     

小波变换在心电信号滤波器中的应用研究

讨论了基于小波变换的增强ECG信号的滤波算法,通过处理小波变换的细小尺度和粗大尺度减小了50Hz的工频干扰、基线漂移和随机噪声。实验结果表明了此方法的可行性。     

Efficient triangular surface approximations using wavelets and quadtree data structures

We present a method for adaptive surface meshing and triangulation which controls the local level of detail of the surface approximation by local spectral estimates. These estimates are determined by a wavelet representation of the surface data. The basic idea is to decompose the initial data set by means of an orthogonal or semi orthogonal tensor product wavelet transform (WT) and to analyze the resulting coefficients. In surface regions, where the partial energy of the resulting coefficients is low, the polygonal approximation of the surface can be performed with larger triangles without losing too much fine grain details. However, since the localization of the WT is bound by the Heisenberg principle, the meshing method has to be controlled by the detail signals rather than directly by the coefficients. The dyadic scaling of the WT stimulated us to build an hierarchical meshing algorithm which transforms the initially regular data grid into a quadtree representation by rejection of unimportant mesh vertices. The optimum triangulation of the resulting quadtree cells is carried out by selection from a look up table. The tree grows recursively as controlled by detail signals which are computed from a modified inverse WT. In order to control the local level of detail, we introduce a new class of wavelet space filters acting as "magnifying glasses" on the data. We show that our algorithm performs a low algorithmic complexity, so that surface meshing can be achieved at interactive rates, such as required by flight simulators, however, other applications are possible as well.     

Unified feature analysis in JPEG and JPEG 2000-compressed domains

Retrieving images compressed by different algorithms typically involves a pre-processing operation to decompress them onto the spatial domain from which features are extracted for further analysis. Our objective is to investigate common features that can be found in JPEG-compressed and JPEG 2000-compressed images so that image indexing can be done directly in their respective compressed domains. A fundamental difference between JPEG and JPEG 2000 is their transforms; the former uses a block-based discrete cosine transform (BDCT) while the latter uses a wavelet transform (WT). Direct comparison on BDCT blocks and WT subbands cannot reveal their relationship. By employing our proposed subband-filtering model, the BDCT coefficients can be concatenated to form structures similar to WT subbands. Our theoretical studies show that the concatenated BDCT and WT filters share common characteristics in terms of passband regions, magnitude and energy spectra. In particular, their low-pass filters are identical for Haar wavelets and highly similar for other wavelet kernels. Despite the fact that compression can affect features that can be extracted, our experimental results confirm that common features can always be extracted from JPEG- and JPEG 2000-compressed domains irrespective of the values of the compression ratio and the types of WT kernels used. As a result, similar JPEG-compressed and JPEG 2000-compressed images can be retrieved from one another without requiring a full decompression.     

认知无线电网络中宽频谱的信号分离算法

在认知无线电网络中,认知用户随机接入宽带频谱进行数据传输,但是这样很容易受到恶意用户的干扰,这些恶意用户随意地接入共享频带进行信号传输,这些信号会干扰主用户和认知用户。为此,提出了一种基于压缩感知的信号分离方法。该方法可以很好地从宽带信号中分离出恶意用户信号。算法主要采用以下三个步骤：（1）所有认知用户采用压缩感知技术从宽带频谱中恢复各信号;（2）认知用户将分离的信号发送到融合中心,融合中心通过小波边缘检测的方法确定频谱边缘,并按照边缘特性将频谱分成若干频段;（3）融合中心根据具体特征对每个子频段进行信号分离。分析和仿真结果表明,这种新的基于压缩感知的宽频带信号分离方法能很好地从宽带信号中将含有恶意用户干扰的混合信号分离出来。     

基于小波变换和压缩感知的语音信号压缩研究

对语音信号直接进行压缩感知处理,通常压缩的效率不高。针对此问题提出了一种基于压缩感知和小波变换的方法,首先用小波变换的方法对语音信号进行级数分解,然后采用压缩感知的方法对小波低频系数进行压缩,并丢弃高频系数,重构语音信号时高频系数用随机信号来取代。采用此种小波变换的方法,与直接采用压缩感知的方法相比,前者的语音信号MOS值稍有降低,但压缩率比直接压缩感知的方法降低了一倍,说明此方法可大大提高压缩的效率。     

快速小波变换在DSP中的实现方法

小波分析是分析非稳定信号的一种非常有泖的方法。Ｍａｌｌａｔ快速算法使得小波分析的广泛应用成为现实。在实时信号分析中,离散小波变换在ＤＳＰ上的有效应用受到了特别的关注。本文简单介绍了ＦＷＴ,详细阐述了在ＤＳＰ上ＦＷＴ的周期性扩展的实现。其中,特别介绍了ＤＳＰ的循环寻址。最后,给出了针对ＴＩ公司的ＴＭＳ３２０Ｃ３Ｘ系列ＤＳＰ的相应的江编代码。     

基于小波变换的电生理信号压缩采样与重构

压缩感知是一个新兴领域,该理论可对信号以低于奈奎斯特采样率的速率进行成比例压缩采样,用来降低数据存储。本文基于压缩感知和小波变换,设计并实现了神经动作电位信号的压缩与重构。首先在小波域构造了64位神经动作电位信号的稀疏矩阵,然后设计了64位神经动作电位信号的2：1压缩矩阵与OMP（OrthogonalMatchingPursuit）重构算法,并通过编程仿真实现,可以完成信噪比较高的压缩信号的高精度恢复。仿真结果表明,重构信号与原信号的关键值相对误差小于15％。     

改进小波包分析在雷达图像消噪中的应用

针对VDR雷达图像在采集、数字化和传输过程中常受到各种噪声的干扰,不利于对图像进行分析、观察和压缩的问题,提出采用改进小波包分析算法进行图像消噪处理,小波包分析具有比小波更精确的局部分析能力,但由于小波包分解的隔点采样会产生严重的频带混叠现象,文中对小波包分析算法进行改进,利用信号的频移特性,将信号进行移频处理,消除频带混叠现象,达到高质量去噪的目的;通过VDR雷达图像消噪实验证明,上述改进算法好于小波包消噪方法,更优于小波消噪方法,具有更为广泛的应用价值。     

Tamper recovery algorithm for digital speech signal based on DWT and DCT

It is a challenging work to design tamper recovery schemes for digital speech signal. Briefly, there are two problems need to be solved. One is that the signals used to tamper recovery are difficult to generate and embed, and the second is that it’s hard to tamper location precisely for attacked speech signal. In this paper, compression and reconstruction method based on discrete wavelet transform (DWT) and discrete cosine transform (DCT) is given, to obtain the compressed signals used to tamper recovery. And then frame number and compressed signals are embedded based on block-based method. Attacked signal can be located by frame number, and compressed signals are extracted and used to reconstruct the attacked signal. Theory analysis and experimental results indicate that the scheme proposed not only improves the accuracy of tamper localization, but also can reconstruct the attacked signals.     

An integrated approach for structural damage identification using wavelet neuro-fuzzy model

Structural damage can be identified by processing structural vibration response signals and excitation data, and thus the suitability of signal processing methods is essential to structural damage identification. To explore an intelligent signal processing method for structural damage identification, the paper integrated wavelet real-time filtering algorithm, Adaptive Neruo-Fuzzy Inference System (ANFIS) and interval modeling technique to process structural response signals and excitation data. With Wavelet Transform (WT) algorithm filtering random noise, ANFIS was found to model the structural behavior properly and interval modeling technique to quantify damage index accurately. The rapid identifications of several unknown damages and small damages indicate the efficiency of this integrated method. The comparison of these results and some other signal processing methods shows that, the proposed method can be used to identify both the time and the location when the structural damage occurs unexpectedly.