基于Hanning Window设计FIR数字高通滤波器

基于实序列的傅里叶变换具有的特征,提出了一种研究线性相位FIR数字滤波器幅度函数的简洁方法。首先揭示了偶对称和奇对称的线性相位FIR数字滤波器幅度函数的特点;然后研究了矩形窗函数对线性相位理想数字低通滤波器幅频特性的影响,即时域加矩形窗,频域形成过渡带;最后介绍了利用窗函数法设计FIR数字滤波器时,对窗函数的要求,选择窗函数的依据及利用窗函数法设计FIR数字滤波器的步骤,并给出了基于Hanning Window来设计FIR数字高通滤波器的实例。     

FIR数字滤波器幅频特性的对象数字化方法

为掌握理解线性相位FIR数字滤波器的幅频特性,提出了对象数字化的表示方法.引入对象变量,赋予数字量化值.根据线性相位FIR数字滤波器幅频特性的规律建立了FIR数字滤波器幅频特性的对象变量方程.对象数字化变量方程的简洁方便,更利于通过数字化运算规则理解线性相位FIR数字滤波器幅频特性的定性规律.     

FIR滤波器线性相位特性的研究

本文通过对滤波器的线性相位研究,介绍FIR滤波器的线性相位的4种特性,详细分析了FIR滤波器的线性相位的幅度特性,并在MATLAB下对FIR滤波器的4种特性进行模拟仿真实验,得到FIR数字滤波器的相位特性只取决于冲击响应的对称性.     

线性相位FIR滤波器频域特性的教学探索

线性相位FIR滤波器的频域特性分析是"数字信号处理"课程中的一个重要内容。本文给出了一种与传统教材不同的线性相位FIR滤波器频率响应的分析方法。笔者以Ⅰ型线性相位系统的频率响应为基础,证明了Ⅱ型、Ⅲ型和Ⅳ型线性相位FIR滤波器的频率响应可表示为Ⅰ型线性相位系统的频率响应与简单函数的乘积。该方法特点是分析过程简捷,突出了不同类型线性相位FIR滤波器频域特性,便于学生掌握线性相位FIR滤波器频域特性。     

基于MATLAB的FIR滤波器设计及实现

FIR数字滤波器具有稳定性和线性相位的特点,这对于要求高保真度的信号处理有很重要意义.利用MATLAB实现FIR低通数字滤波器的设计,并对被高频干扰的信号进行滤波,达到了预期结果.     

基于雷米兹交换算法设计线性相位对数FIR滤波器

根据线性相位对数FIR滤波器幅度响应与线性相位FIR滤波器幅度响应的关系 ,将线性相位对数滤波器设计转换为线性相位FIR滤波器设计。该方法直接采用雷米兹交换算法即可获得线性相位对数滤波器通带和阻带的等纹波特性。另外 ,该方法既可基于频域均匀采样也可基于频域非均匀采样 ,具有一定的通用性和灵活性     

基于MATLAB的FIR滤波器设计及实现

FIR数字滤波器具有稳定性和线性相位的特点,这对于要求高保真度的信号处理有很重要意义。利用MATLAB实现FIR低通数字滤波器的设计,并对被高频干扰的信号进行滤波,达到了预期结果。     

高速FIR滤波器的流水线结构

通过一个13阶线性相位的平方根升余弦滚降FIR数字滤波器的结构设计，介绍了如何应用流水线技术来设计高速FIR滤波器。考虑到FPGA的容量问题，对采用流水线技术之后的FIR滤波器占用的硬件资源进行了分析，得出一些结论。     

基于两种对称频率采样的全相位FIR滤波器设计

该文提出基于两种对称频率采样的全相位FIR滤波器设计方法,证明了在无窗和单窗情况下, 依据传统对称和偶对称的频率向量设计出的全相位传递曲线分别通过/N的偶数倍和奇数倍的数字角频率点, 因而全相位滤波器可较精确地控制边界频率。仿真实验证明, 这两种类型的全相位滤波器性能优于神经网络方法设计出的滤波器。     

二维线性相位FIR数字滤波器的优化设计

该文提出了一种用神经网络算法来设计二维线性相位数字滤波器的新方法。通过分析二维FIR线性相位滤波器的幅频响应特性,建立了神经网络算法。根据给定的幅频响应指标,按该算法可获得滤波器系数。为保证该算法的稳定性,提出并证明了该算法的收敛定理。文中给出了圆对称和矩形对称二维低通线性相位FIR数字滤波器优化设计实例。计算机仿真结果表明由该方法设计的二维数字滤波器,通带和阻带范围波动小,所需计算量非常少,稳定性强,因而是一种优异的设计方法。     

Algebraic Design of Some Equiripple Linear-Phase Half-Band FIR Filters

A closed form solution for the approximation of a linear-phase FIR (finite impulse response) filter with equiripple magnitude responsein the passband and stopband was not known. In this letter we present a closed form solution of some equiripple linear-phase half-band FIR filter approximation.     

Reduction of Symmetric Complex Filters

Due to their linear-phase property, symmetric filters are an interesting class of finite-impulse-response (FIR) filters. Moreover, symmetric FIR filters allow an efficient implementation. In this paper we extend the classical definition of Hermitian symmetry to a more general symmetry that is also applicable to complex filters. This symmetry is called generalized-Hermitian symmetry. We show the usefulness of this definition as it allows for a unified treatment of even and odd-length filters. Central in this paper is a theorem on the reduction of generalized-Hermitian-symmetric filters to Hermitian-symmetric filters, both with finite precision coefficients. A constructive proof of this theorem is presented and an associated procedure for reducing generalized-Hermitian-symmetric filters is derived. Two of the examples show the application of the reduction procedure and the achieved savings on arithmetic costs. Finally, all three examples show that a special instance of the generalized-Hermitian-symmetric filters with finite precision coefficients, may have lower arithmetic costs than the Hermitian-symmetric filter from which it is derived.     

Realization of 2-D linear-phase FIR filters by using thesingular-value decomposition

The singular-value decomposition (SVD) technique is investigated for the realization of a general two-dimensional (2-D) linear-phase FIR filter with an arbitrary magnitude response. A parallel realization structure consisting of a number of one-dimensional (1-D) FIR subfilters is obtained by applying the SVD to the impulse response of a 2-D filter. It is shown that by using the symmetry property of the 2-D impulse response and by developing an appropriate unitary transformation, an SVD yielding linear-phase constituent 1-D filters can always be obtained so that the efficient structures of the 1-D linear-phase filters can be exploited for 2-D realization. It is shown that when the 2-D filter to be realized has some specified symmetry in its magnitude response, the proposed SVD realization would yield a magnitude characteristic with the same symmetry. An analysis is carried out to obtain tight upper bounds for the errors in the impulse response as well as in the frequency response of the realized filter. It is shown that the number of parallel sections can be reduced significantly without introducing large errors, even in the case of 2-D filters with nonsymmetric magnitude response     

具有任意幅度频响的二维线性相位FIR数字滤波器的设计

本文提出了设计任意幅度频响的二维线性相位ＦＩＲ数字滤波器的解析最小二乘方法，通过最小化频域平方误差函数得到了滤波器系数的闭式解，运用导出的闭式式，可根据给定的任意幅度频响指标直接计算滤波器的系数，从而简化了滤波器设计程序，并大大降低了运算量。     

二维半平面线性相位FIR数字滤波器的最小二乘设计方法

本文研究了二维线性相位实系数FIR数字滤波器的最小二乘设计问题，导出了滤波器系数的闭式解。运用给出的计算公式可方便地计算滤波器的系数，而不必对矩阵进行数值求逆运算也不需要复杂的优化过程．设计实例表明本文给出的方法程序简单、计算时间极短．     

Generating 2-D FIR filter functions by Christoffel–Darboux formula for Chebyshev polynomials of the second kind

Global Christoffel–Darboux formula for different polynomials has already been used for the filter design. Here, this formula for orthonormal Chebyshev polynomials of the second kind and for two independent variables is applied in generating novel class linear-phase two-dimensional (2-D) finite impulse response (FIR) digital filter functions. In this way, 2-D filters with some specific features including economy, phase linearity, symmetry and selectivity are designed. Representative examples of the 2-D FIR digital filters of a new class obtained by the proposed approximation technique are given. A filter generated by the proposed approach is compared with the corresponding one generated by the procedure from literature.     

微波线性相位双模介质滤波器

本文讨论了用双模介质加载谐振腔实现的微波线性相位滤波器结构，在非级联耦合的诸振腔之间引入一个交叉耦合，以改善通带内的时延平坦特性，给出了用模匹配法计算介质加载谐振腔的谐振频率和谐振腔之间耦合系数的方法。介绍了采用这种方法构成的滤波器的实际设计方法。最后制作了用这种方法设计出的滤波器，给出的实测结果表明它不仅可满足幅频特性的滤波要求，而且具有良好的通带时延特性。     

线性完全重构的二维滤波器组的Groebner基设计

为设计线性完全重构的二维滤波器组,引用了计算代数中的Groebner基方法,根据线性相位条件和完全重构条件,分别设计出二维滤波器组的分析滤波器和综合滤波器的多相元矩阵,给出其参数化形式。根据小波构造理论,利用所设计的分析滤波器组构造出一个对称的纯二维小波。设计结果显示了Groebner基方法的有效性,设计方法更为简单。     

A Design of 2 L-Channel FIR Paraunitary Filter Banks with Complex Coefficients

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微波线性相位环状微带滤波器

介绍了一种结构新颖、插入损耗小,且具有优异线性相位的环状微带线滤波器。该滤波器采用数个环形谐振器平行耦合,而输入输出馈线与环形谐振器之间采用直接耦合。文中列举了中心频率为8.6GHz的三环、四环和五环三种不同的滤波器,并对其进行了仿真模拟和结果比较。