全相位数字滤波

本文提出全相位DFT数字滤波器,全相位FIR滤波器及全相位FFT频谱分析.全相位数字滤波器它有良好的滤波器频率特性,适用於频谱分析,多路复用和扩频通信中窄带干扰抑制等频域自适应滤波器.     

基于全相位的自适应数字滤波器设计方法

针对通常情况下滤波器引起的相移问题,概述零相位数字滤波的重要意义。并在介绍传统零相位数字滤波器设计(FRR和RRF)原理和方法的基础上,提出了一种新的零相位数字滤波器的设计原理和方法——全相位方法。通过仿真实验将传统的设计方法与此新设计方法给予了验证,使数字信号处理中滤波器引起的相位失真问题得到很好的解决。说明全相位方法是一种很好的零相位数字滤波器的设计方法,全相位数字滤波器它具有良好的滤波频率特性,适用于频谱分析,多路复用和扩品通信中窄带干扰抑制等频域自适应滤波器。并且将全相位法应用于自适应滤波器。     

全相位DFT数字滤波器的一种等价结构

本文根据[1]中提出的全相位DFT数字滤波器的理论,导出了一种新型的频域网络结构。对于相同长度和频率响应的滤波器,该结构与[1]中的方案滤波效果相同,但运算量只有[1]的一半,硬件实现简单。由于可以直接得到梯度向量,因此可应用于自适应滤波领域,实验证明,它比传统的频域自适应滤波器具有更好的性能。     

基于全相位的零相位数字滤波器的设计方法

针对通常情况下滤波器引起的相移问题,概述零相位数字滤波的重要意义。并在介绍传统两种零相位数字滤波器设计(FRR和RRF)原理和方法的基础上,提出了一种新的零相位数字滤波器的设计原理和方法全相位方法。通过仿真实验将传统的两种设计方法与此新设计方法给予了验证,使数字信号处理中滤波器引起的相位失真问题得到很好的解决。说明全相位方法是一种很好的零相位数字滤波器的设计方法,同时还克服了传统设计方法物理上无法实现的弊端。最后,将此全相位方法与传统方法作了分析,并介绍了全相位作为一种全新数字滤波器设计方法的应用领域。     

一种基于循环移位图的全相位DFT数字滤波器频率响应的求取法

本文提出了一种新型的全相位DFT数字滤波器频率响应的求取方法—循环移位图法,它是基于全相位滤波器和原有FIR滤波器的相互关系而构造的,充分体现了Fourier变换的循环移位性质和卷积窗的关系。该方法直观,深刻反映了全相位滤波器的内在机理。文中以N=3为例,说明了全相位滤波器的衍生过程。并以N=7阶全相位滤波器为例,分别在无窗、单窗和双窗条件下,推导出了全相位滤波器频率响应的数学表达式,并且用该表达式结合实验结果解释了全相位滤波器的优良特性。然后分别用所有数字角频率的正弦信号对全相位数字滤波器进行仿真实验测试,该仿真实验证明:测试出的频率响应曲线和理论推导完全一致。本文最后还推导出任意阶、任意种加窗方式下的全相位数字滤波器的频率响应公式。     

基于新型优化窗的多维全相位数字滤波器设计

提出一种通用的多维全相位数字滤波器的设计方法.基于一维原型全相位数字滤波器(APDF),通过多维抽取变换,设计出具有任意平行六面体通带的多维APDF,并保持奈奎斯特约束特性和零相位特性.利用一种新型优化窗函数设计了性能优异的一维加窗APDF,将其作为一维原型滤波器,生成了不可分离的多维加窗APDF.实例表明,在滤波器长...     

DFT域全相位数字滤波器的设计与实现

本文给出了一种带双窗的频域全相位数字滤波器结构,经过理推导得到与其等效三种实现形式。对系统特性的分析结果表明,双窗全相位数字滤波器在通带和阻带内的波纹基本消除并且可以方便地设计各种滤波器;最后通过仿真实验,验证了理论推导的正确性和全相位数字滤波器的实用性。     

全相位半带滤波器设计与实现

半带滤波器是一种特殊的低通FIR滤波器,在信号的分析与完全重构中应用广泛。本文在分析全相位滤波器频率取样特性基础上,首先得到无窗、单窗全相位恒通过而双窗则低于频率取样点的结论,其次利用全相位双边带对称传输特性H设计三种类型的半带滤波器且均具有严格零相位特性,类型I和II具有实系数单位冲激响应,类型III则具有复系数冲激响应而使半频点处幅值不等于0.5。第三,分别实现全相位九种半带滤波器并与三种传统设计方法进行比较,结果表明,全相位设计半带滤波器通带及阻带波纹数更少,且衰减降低近3dB。      

基于二维DFT域全相位滤波的图像多分辨率分析

图像多分辨率分析在信号滤波、图像除噪、图像 融合、图像边缘检测领域中应用广泛。该文设计了一种新的 图像多分辨率分析方法,通过对全相位系统函数进行谱分解,实现了基于全相位的严格功率 互补的高低通滤波器设计, 按照全相位处理的基本理论,选择不同的正交变换方式和基窗函数可以方便地设计出具有不 同分析/合成效果的全相位波 包。实验表明,DFT域全相位分析滤波器可以实现对图像的多层分解,由合成滤波器还原得 到的图像误差几乎为零。在 图像数据压缩、自适应除噪方面具有较为广泛的应用前景。     

二维DFT域全相位数字滤波器设计与实现

一维全相位数字信号处理已经在谱分析、自适应、模板设计、滤波器组分析与综合等领域得到应用,但对于二维全相位理论的推导很少而且没有实现的方法.因此,本文在一维全相位信号处理方法的基础上,首先系统地分析二维全相位信号处理模式,理论推导出无窗、单窗和双窗模式下传输函数表达式;其次,首次设计出二维全相位处理的系统实现框图,并对算法复杂度进行了优化分析;还有,对二维全相位信号处理的性质进行了分析;最后,借助MATLAB实现了DFT滤波器设计并画出3D特性曲面,完成设计二维DFT全相位滤波器的理论、方法和实验验证.     

基于FPGA的通信信号数字滤波分离技术

以现代软件无线电信道化理论和FPGA技术为背景,围绕通信信号的数字滤波分离技术进行研究。提出了以离散傅里叶变换（DFT）实现滤波器组的数字信号滤波分离功能的方案。在具体实现DFT时,结合快速傅里叶变换（FFT）理论,以Verilog HDL语言为载体,结合现代FPGA工具--ModelSim软件,实现了高效DFT,并对其能否实现期望的功能进行了验证。     

Digital filter design techniques in the frequency domain

Digital filtering is the process of spectrum shaping using digital components as the basic elements. Increasing speed and decreasing size and cost of digital components make it likely that digital filtering, already used extensively in the computer simulation of analog filters, will perform, in real-time devices, the functions which are now performed almost exclusively by analog components. In this paper, using the z-transform calculus, several digital filter design techniques are reviewed, and new ones are presented. One technique can be used to design a digital filter whose impulse response is like that of a given analog filter; other techniques are suitable for the design of a digital filter meeting frequency response criteria. Another technique yields digital filters with linear phase, specified frequency response, and controlled impulse response duration. The effect of digital arithmetic on the behavior of digital filters is also considered.     

Noniterative compensation for the distance-dependent detector response and photon attenuation in SPECT imaging

A filtering approach is described, which accurately compensates for the 2D distance-dependent detector response, as well as for photon attenuation in a uniform attenuating medium. The filtering method is based on the frequency distance principle (FDP) which states that points in the object at a specific source-to-detector distance provide the most significant contribution to specified frequency regions in the discrete Fourier transform (DFT) of the sinogram. By modeling the detector point spread function as a 2D Gaussian function whose width is dependent on the source-to-detector distance, a spatially variant inverse filter can be computed and applied to the 3D DFT of the set of all sinogram slices. To minimize noise amplification the inverse filter is rolled off at high frequencies by using a previously published Wiener filter strategy. Attenuation compensation is performed with Bellini's method. It was observed that the tomographic point response, after distance-dependent filtering with the FDP, was approximately isotropic and varied substantially less with position than that obtained with other correction methods. Furthermore, it was shown that processing with this filtering technique provides reconstructions with minimal degradation in image fidelity.     

Optimization-based design and implementation of multidimensional zero-phase IIR filters

This paper considers multidimensional infinite-impulse response (IIR) filters that are iteratively implemented. The focus is on zero-phase filters with symmetric polynomials in the numerator and denominator of the multivariable transfer function. A rigorous optimization-based design of the filter is considered. Transfer function magnitude specifications, convergence speed requirements for the iterative implementation, and spatial decay of the filter impulse response (which defines the boundary condition influence in the spatial domain of the filtered signal) are all formulated as optimization constraints. When the denominator of the zero-phase IIR filter is strictly positive, these frequency domain specifications can be cast as a linear program and then efficiently solved. The method is illustrated with two two-dimensional IIR filter design examples.     

一种基于小波和Wiener相结合图像去噪新方法

本文提出了一种新的小波变换和维纳滤波相结合的图像滤波方法.该滤波方法首先使用小波变换,将图像信号从时域变换到频域,结合新的wiener方法对图像的高低频结果进行滤波处理。改进的自适应Wiener滤波器可以根据图像特性,在给定的多个模板间对图像进行自适应模板选择,使得滤波效果更加理想。实验结果表明,本文提出的方法比传统的维纳滤波和小波阈值去噪方法有较大的改善。     

Elimination of truncation and round off error and enhancement of stability using a new split loop DPLL

In contrast with the conventional split loop digital phase lock loop, a new loop is presented in this paper that differs from the earlier version principally by design aspects. It incorporates an additional phase modulation input along with its frequency modulation input in the digital controlled oscillator. It is capable of eliminating the deleterious effects of rounding and truncation error with faster signal accusation. Higher loop stability is also achievable using the new split loop digital phase lock loop. Furthermore, radio frequency filtering is done using an In phase and Quadrature phase (IQ) voltage controlled oscillator to avoid interaction between the loop filter and the radio frequency filter. Copyright © 2011 John Wiley & Sons, Ltd.