基于CORDIC的一种参数化小波变换及其实现

论述了一种利用CORDIC算法在FPGA上实现参数化正交小波变换的方法。要实现小波变换的参数化,就需要确定变换的参数空间。小波变换的参数空间由旋转角构成,而这些旋转角用于网格滤波器中的正交2×2旋转来实现小波变换的级联,参数空间被限制在简单正交μ旋转给出的一组旋转角中。实践表明,正交μ旋转是CORDIC算法中一个必要的递归步骤,通过简化的参数空间小波变换能简单的实现,其仅仅需要少量的移位和加法操作。     

基于正交小波变换的超指数迭代联合盲均衡算法

为了克服超指数迭代盲均衡算法稳态误差大、不能纠正相位旋转的问题,在分析正交小波变换理论和超指数迭代盲均衡算法的基础上,利用正交小波变换对SEI算法的权向量迭代公式进行修正,同时引入一阶锁相环(PLL)技术,并将其以软切换的方式与判决引导算法相结合,得到一种基于正交小波变换的超指数迭代联合盲均衡算法.该算法利用正交小波变换良好的去相关性,来加快收敛速度,利用PLL技术来快速纠正相位旋转,并用其来初始化判决引导算法,有效地减小了稳态误差.水声信道的仿真结果验证了算法的有效性.     

基于余弦变换和小波变换的数字水印算法

在互联网络技术和多媒体技术普及的今天,数字水印技术已经成为目前信息安全技术领域的一个重要方向。本文提出了一种基于离散余弦变换和离散小波变换的数字水印算法,以一个长度为n服从N(0,1)正态分布的随机数序列作为水印信号嵌入到图像最具感知意义的频率部分。实验结果表明,此算法具有良好的视觉效果和鲁棒性。     

基于混沌映射和小波变换的彩色图像水印算法*

为了实现对多媒体数据版权的有效保护,提出了一种基于离散混沌映射和二维离散小波变换的图像水印新算法。该算法利用切延迟椭圆反射腔离散混沌系统（TDERCS）产生的混沌序列,将其二值化后加密水印图像,并采用小波变换将加密后的水印图像嵌入到宿主图像的蓝色分量的最深层的四个子带中,嵌入位置则由广义猫映射确定。仿真实验和性能分析表明,该算法具有很好的隐蔽性、鲁棒性和安全性。     

基于小波域的模糊混沌数字水印算法

为实现对多媒体数据版权的有效保护,提出一种基于混沌映射和二维小波变换的模糊自适应数字水印算法。利用Lorenz混沌映射产生的混沌序列对水印图像进行加密,通过离散小波变换及模糊控制得到水印图像的嵌入强度,将加密后的水印图像嵌入宿主图像。仿真实验和性能分析表明,该算法具有良好的隐蔽性、鲁棒性和安全性。     

微弱正弦信号参数估计算法研究

该文提出了一种强噪声背景下微弱正弦信号频率、幅值与相位三个参数的估计算法.根据离散小波变换,对强噪声背景下采样序列进行预处理,构造N+2个新的序列.对该序列实施离散傅里叶变换,结合序列的构造方式得到了正弦信号频率,相位和幅值的估计算法.仿真实验表明,在不同类型的噪声背景下,该算法具有较高的估计精度与较强的鲁棒性.     

基于小波投影和离散哈希的图像检索

现有的哈希方法难以快速实现原始特征空间的近似映射.针对此问题,文中提出基于小波投影的哈希方法.基于Haar小波变换构造投影矩阵,使用迭代算法优化投影矩阵和离散优化二进制码,重构量化误差.利用投影矩阵将图像的原始特征向量快速投影至低维空间,并进行二进制嵌入,完成图像的哈希编码.在图像数据集上的实验表明,文中方法可有效提升编码效率.     

基于CDMA扩频技术的图象水印算法

为了增强水印的稳健性和提高运算速度,提出了一种应用直接序列扩频的码分多址通信技术(DS-CDMA)的图象离散小波变换域水印算法.该算法先采用m序列优选对来生成正交的Gold序列集,然后将改进后的Gold序列对水印信息进行扩频,并形成互相叠加的.CDMA编码,最后将其嵌入到原始图象的DWT变换域.在水印提取时,则利用正交码的自相关函数特性来检测出扩频到Gold码的水印信息,从而实现了隐藏信息的盲检测.与已报道的同类算法的性能比较表明,应用该算法隐藏的水印信息量较大,且水印稳健性好.     

高性能的9/7小波滤波器组设计

提出了一种二进制系数的9/7双正交小波滤波器组.首先对小波滤波器组的完全重构条件和双正交条件进行三角基函数变换和因式分解,然后对求出的小波滤波器系数进行优化设计,从而得到一组滤波器系数都为二进制分数的9/7双正交小波滤波器组,其离散小波变换只需采用简单的"移位-加"即可.理论分析和实验表明:改进的9/7小波滤波器组具有与CDF9/7小波滤波器组相近的性能,同时大大降低了离散小波变换的算法复杂度.因此,非常适用于大规模集成电路的实现.     

基于二维Logistic混沌映射DWT脆弱数字水印算法

提出一种基于二维Logistic混沌映射的DWT变换域脆弱数字水印算法.首先利用原始图像的特征信息结合密钥生成二维混沌映射的初值从而生成水印信息;为了实现盲检测,该算法结合小波变换后的特征信息将水印信息嵌入到经小波变换后的高频部分;最后将修改后的小波系数与其他系数重组做离散小波反变换IDWT,从而得到含水印的图像.实验证明,该算法不但能增强水印的安全性,还有良好的不可见性和图像定位篡改能力.     

基于第二代小波变换的图像融合方法及性能评价

提出了一种基于小波提升方案的图像融合新算法. 与传统基于卷积的小波变换融合方法相比, 新算法具有计算简单、融合速度快、所需内存少以及有利于算法的在线快速实现等优点. 此外, 还提出了一种基于区域特征选择的新的融合策略, 针对不同类型的多源图像进行了融合仿真实验, 并采用主观视觉判断与客观评价准则相结合的方式, 对不同变换方式、不同融合规则以及不同分解层数对融合效果的影响进行了比较分析. 实验结果表明本文提出的融合算法和融合策略具有优越的融合性能, 并取得了令人满意的融合效果.     

Ground roll attenuation using real and complex DWT based methods

This paper deals with ground roll attenuation using double density and dual-tree complex discrete wavelet transforms. These transforms use a new denoising method instead of well-known hard and soft thresholdings and Wavelet Domain Ground roll Analysis (WDGA) applied in finding and attenuating the ground roll energy in the wavelet domain. The dual-tree complex wavelet transform (DTCWT), and double density discrete wavelet transform (DDDWT) have two wavelets and one scaling function and are nearly shift-invariant. Also they have redundancy factors of 2, and their wavelets are smoother than other orthogonal wavelets. Based on this fact, they can be considered as replacement methods for such aims. Recognizing the performance of each method is required to show which method is more suitable and efficient. In the present study, distinct wavelets and scaling function of each method have been applied to the data, and also the data are denoised by Wavelet Domain Ground roll Analysis technique. Additionally, for the inverse transform, the coefficients of the noise are removed. And finally for concluding, the results of all methods are compared with the f-k method and band-pass filtering, and critically sampled Discrete Wavelet Transforms. Final results showed that the DTCWT is reliable in comparison with other methods for ground roll attenuation.     

√3-Subdivision-Based Biorthogonal Wavelets

A new efficient biorthogonal wavelet analysis based on the radic3 subdivision is proposed in the paper by using the lifting scheme. Since the radic3 subdivision is of the slowest topological refinement among the traditional triangular subdivisions, the multiresolution analysis based on the radic3 subdivision is more balanced than the existing wavelet analyses on triangular meshes and accordingly offers more levels of detail for processing polygonal models. In order to optimize the multiresolution analysis, the new wavelets, no matter whether they are interior or on boundaries, are orthogonalized with the local scaling functions based on a discrete inner product with subdivision masks. Because the wavelet analysis and synthesis algorithms are actually composed of a series of local lifting operations, they can be performed in linear time. The experiments demonstrate the efficiency and stability of the wavelet analysis for both closed and open triangular meshes with radic3 subdivision connectivity. The radic3-subdivision-based biorthogonal wavelets can be used in many applications such as progressive transmission, shape approximation, and multiresolution editing and rendering of 3D geometric models.     

Principal square root of 3-subdivision-based biorthogonal wavelets

A new efficient biorthogonal wavelet analysis based on the principal square root of subdivision is proposed in the paper by using the lifting scheme. Since the principal square root of subdivision is of the slowest topological refinement among the traditional triangular subdivisions, the multiresolution analysis based on the principal square root of subdivision is more balanced than the existing wavelet analyses on triangular meshes, and accordingly offers more levels of detail for processing polygonal models. In order to optimize the multiresolution analysis process, the new wavelets, no matter whether they are interior or on boundaries, are orthogonalized with the local scaling functions based on a discrete inner product with subdivision masks. Because the wavelet analysis and synthesis algorithms are actually composed of a series of local lifting operations, they can be performed in linear time. The experiments demonstrate the efficiency and stability of the wavelet analysis for both closed and open triangular meshes with principal square root of subdivision connectivity. The principal square root of -subdivision-based biorthogonal wavelets can be used in many applications such as progressive transmission, shape approximation, multiresolution editing and rendering of 3D geometric models.     

双曲型守恒律方程的小波解法

本文基于Hamilton-Jacobi方程的小波Galerkin近似和微分算子的小波表示,讨论一维双曲型守恒律方程初值问题的Daubechies小波解．由于小波在空间和时间上的局部性,本方法适用于处理具有奇异解的问题,可以有效的防止数值振荡．数值试验的结果表明,本方法是可行的．     

The construction of wavelet network for speech signal processing

Wavelet decomposition reconstructs a signal by a series of scaled and translated wavelets. Incorporating discrete wavelet decomposition theory with neural network techniques, wavelet networks have recently emerged as a powerful tool for many applications in the field of signal processing, such as data compression and function approximation. In this paper, four contributions are claimed: (1) From the point of view of machine learning, we analyse and construct wavelet network to achieve the compact representation of a signal. (2) A new algorithm of constructing wavelet network is proposed. The orthogonal least square (OLS) is employed to prune the wavelet network. (3) Our experiments on speech signal processing results show that the wavelet network pruned by OLS achieves the best approximation and prediction capabilities among the representative speech processing techniques. (4) Our proposed methodology has been successfully applied to speech synthesis for a talking head to read web texts.     

基于FFT-DWT提高MTD检测性能的仿真分析

针对快速傅里叶变换和离散小波变换（FFT-DWT）方法中的小波选取进行讨论,比较了FFT输出信号在不同小波的5种信号边界延拓模式下的处理增益（PG）值,得到了FFT-DWT方法中适应不同小波的最优边界延拓模式,分析了daubechies, symlets, coiflets, biorthogonal, reversebior和dmeyer小波在最优延拓模式下的PG值,得到了适应FFT/FFT-DWT的最优小波（Haar小波）.从简化设备的角度,提出了只用FFT-DWT进行处理的方法,并给出适应该方法的最优小波（零延拓模式下的db2小波）,比较了FFT/FFT-DWT方法和FFT-DWT方法在不同情况下的检测概率曲线,结果表明FFT-DWT方法在简化设备的同时保持了较好的检测性能.     

Poisson wavelets applied to model identification

A novel wavelet transform is introduced based on the backward difference of the Poisson probability density function. This family of wavelets is a function of one discrete and two continuous variables. The Poisson wavelet transform is useful for system identification, parameter estimation and model validation. In particular, it is well-suited for linear time-invariant systems that are modelled as combinations of decaying exponentials with a single time delay. A fast computational algorithm for computing the Poisson wavelet transform is developed using cascaded first-order filters. The concepts are demonstrated on a three-tank process and a simplified heat exchanger.     

时变非线性分布参数控制系统的小波辨识算法

基于正交函数逼近理论,在Haar小波正交规范基的基础上,总结并推导出了其积分运算矩阵、微分运算矩阵、乘积运算矩阵及其运算性质,并应用于一类时变非线性分布参数系统的辨识.借助于正交小波函数逼近方法对分布参数系统进行辨识,经正交小波逼近变换转化为代数矩阵方程,因此该方法可以不考虑初始条件和边界条件,较其他辨识方法要简单得多.该算法简单、计算量小、简化了分布参数系统辨识的求解过程,应用在分布参数系统辨识中不失为一种有效的分析方法.     

基于不同小波的CWOFDM系统的仿真与分析

DWT比DFT在子信道间有更高的频谱约束力,可以去除COFDM(编码正交频分复用)系统中必须的CP(循环前缀),从而提高带宽利用率。对不同小波下CWOFDM(编码小波正交频分复用)系统在无线信道下的传输性能进行仿真。结果表明,CWOFDM系统抗噪声和多径衰落性能优于COFDM,而且小波的滤波器长度和分解层数都会影响CWOFDM系统抗噪声和多径衰落的性能。