最小二乘与加权最小二乘空域矩阵滤波器设计

空域矩阵滤波器是一种新的信号处理技术,通过一个滤波矩阵与接收到的阵列数据相乘,可实现保留通带目标信号,抑制阻带干扰的目的.本文主要研究了最小二乘和加权最小二乘两类的空域矩阵滤波器.给出了空域滤波器设计基本原理,通过最优化问题得出了最优解.最小二乘空域矩阵滤波器是加权系数为1的加权加权最小二乘空域矩阵滤波器的特列.由加权最小二乘迭代仿真结果可以看出,迭代次数的增加使滤波器阻带响应极大值逐渐变小,可实现恒定阻带抑制效果,设计效率较高.     

最小误差空域预滤波矩阵求解及误差分析

建立了空域矩阵滤波器设计最优化问题,利用两种方法给出该最优化问题的最优解。第一种方法是通过将最优化问题转化为以向量为未知数的另一个最优化问题,并求解稳定点,重排获得原问题的最优解。第二种方法是利用对原最优化问题求偏导数的方式,直接获得最优解。利用广义奇异值分解,给出了最优解的简化形式。通过仿真,给出了不同阵元数情况下,预滤波的响应效果,通过对比可知,与恒定阻带抑制滤波器相比,最小误差空域预滤波矩阵有更小的归一化响应误差。     

方位距离域最小二乘矩阵滤波器设计与分析

针对在近场强干扰源条件下对弱信号源探测难的问题,提出了近场矩阵滤波干扰抑制方法。该方法基于聚焦波束形成原理,设计出最小二乘方位距离域矩阵滤波器,用于抑制近场强干扰,实现对弱目标源定位。另外对影响距离深度域最小二乘矩阵滤波器滤波性能的几个主要因素进行了研究,分析了这些因素与方位距离域矩阵滤波器性能的关系,一方面可以在设计一个适当的矩阵滤波器基础上对其通带和阻带误差进行研究,另一方面可以对其幅度响应图进行直观的观察和比较。     

恒定阻带抑制矩阵滤波器性能分析

在任意传感器阵型恒定阻带抑制矩阵滤波器设计的基础上,全面讨论了影响恒定阻带抑制矩阵滤波器性能的因素。矩阵滤波器设计问题可转化为二阶锥规划问题,通过求解二阶锥规划及重排可得所需的矩阵滤波器。分析并得出阻带响应、通带位置、通带带宽及阵元数等因素变化对矩阵滤波器性能的影响,为矩阵滤波器的设计和应用提供了依据。     

一种设计对数FIR数字滤波器的方法

本文提出了一种设计具有等波纹对数幅度响应的线性相位ＦＩＲ数字滤波器的方法,该设计方法以多次交换算法为基础。在给定通带与阻带误差比、通带误差和阻带误差三种情况下讨论该设计方法。介绍几个低通对数ＦＩＲ滤波器的设计例子,来说明该设计方法的效率。     

基于四阶累积量的空域矩阵滤波DOA估计算法

空域矩阵滤波器通过保持空域通带内的信号,抑制空域阻带内的干扰与噪声来提高DOA(Direction Of Arrival)估计的精度.本文使用二阶锥规划(Second-order Cone Programming)方法设计空域矩阵滤波器,利用滤波后数据的四阶累积量进行信号源到达角估计,以消除空域矩阵滤波作用时产生的色噪声的影响,从而提高信号源DOA估计的性能.此外,通过滑动空域矩阵滤波器的通带,还使得阵列具有估计多于阵元数目信号源到达角的能力.计算机仿真结果验证了算法的有效性.     

基于序列锥规划方法的群延时约束等纹波有限冲激响应数字滤波器优化设计

有限冲激响应数字滤波器(FIR)的优化设计理论,一般是使设计的FIR滤波器频率响应与期望滤波器频率响应之间的误差最小并通过优化技术进行求解.但是已有的这些方法大都关注于通带和阻带内的幅频特性,而对于非线性群延时约束考虑较少,因此对于群延时要求较高的应用场合,这些方法是不适用的.该文提出了一种群延时约束的等纹波有限冲激响应数字滤波器设计新方法,该方法主要思想是采用泰勒级数近似将带有非线性群延时约束条件的原等纹波滤波器优化设计问题在好的初始迭代点附近转化为序列二阶锥规划子问题进行求解,较好的解决了对群延时要求较高的问题.仿真结果表明,该方法可以有效的减小滤波器群延时误差,最小化通带和阻带纹波,提高了滤波器的优化设计性能.     

二维线性相位FIR滤波器设计的投影最小二乘算法

考虑二维线性相位矩形对称FIR滤波器的约束最小二乘设计问题,即在通带和阻带逼近误差不超过给定值的约束下使逼近误差平方和最小.提出一个投影最小二乘算法,它是一个交替地更新有效约束集及将二次误差无约束极小点(最小二乘解)逐次投影到有效约束边界的迭代过程.通过二维FIR低通圆形滤波器和方形滤波器的设计例子,对算法的性能进行了仿真,并与基于内点算法和有效集方法的设计程序进行了比较,结果表明本文算法具有很高的效率.     

多通带低群延迟误差FIR滤波器设计的迭代算法

常数低群延迟有限冲击响应（FIR）滤波器在通信等领域得到了广泛应用,尤其是要求无波形失真、信号延迟小的场合。而低群延迟的FIR滤波器,其相位响应只能做到近似线性相位,其群延迟只能做到近似常数。为了减小与期望常数群延迟之间的误差,最近提出的通过迭代更新相位误差上界函数来逐步减小群延迟误差的方法,只考虑了单通带滤波器的minimax设计。本文将把该方法推广至多通带FIR滤波器的minimax设计和约束最小二乘设计,先对各通带单独处理使每个通带的最大群延迟误差有效降低后,再考虑各通带之间平衡,对各子带的最大群延迟误差进行折中,进而使整个通带上的最大群延迟误差继续减小。对约束最小二乘设计还特别考虑了通过修改收敛参数来解决相位误差约束过紧时设计问题无解的问题。仿真实例表明,该方法能有效减小多通带滤波器的最大群延迟误差。      

一种二阶锥规划通带线性相位FIR滤波器的设计

在有限冲激响应（Finite Impulse Response,FIR）滤波器设计中,如果系统只要求通带或某个频域区间具有线性相位而其他频域区间相位非线性,则系数对称的FIR滤波器设计方法不再适用。为此,提出了一种基于二阶锥规划（Second-Order Cone Programming,SOCP）的通带线性相位FIR滤波器设计方法。该方法使用二阶锥规划实现滤波器设计,其中优化目标为通带最小群延迟,约束条件为全频域振幅误差。实验结果显示,所提方法设计的FIR滤波器有着很好的幅频特性和通带线性相位,通带群延迟误差很小。该方法实现简单,计算复杂度低,可以广泛应用于数字信号处理领域。     

High-resolution photonics-based interference suppression filter with wide passband

A new topology for a photonic signal processor, which overcomes the basic recursive frequency response problem that limits the passband range, is presented. The structure is based on a new multiple-wavelength offset-cavity structure that is cascaded with a series of unbalanced delay line structures. This not only can synthesize a very narrow notch response with good shape factor but also permits a multifold extension of the free spectral range (FSR) and passband width. Results on the interference mitigation filter demonstrate a stopband of 1% of center frequency and a fourfold increase in the FSR and passband width, while also having a very small shape factor, in excellent agreement with predictions.     

Optimal Design of 2D FIR Filters with Quadrantally Symmetric Properties Using Fractional Derivative Constraints

In this article, an optimal design of two-dimensional finite impulse response (2D FIR) filter with quadrantally even symmetric impulse response using fractional derivative constraints (FDCs) is presented. Firstly, design problem of 2D FIR filter is formulated as an optimization problem. Then, FDCs are imposed over the integral absolute error for designing of the quadrantally even symmetric impulse response filter. The optimized FDCs are applied over the prescribed frequency points. Next, the optimized filter impulse response coefficients are computed using a hybrid optimization technique, called hybrid particle swarm optimization and gravitational search algorithm (HPSO-GSA). Further, FDC values are also optimized such that flat passband and stopband frequency response is achieved and the absolute \(L_1\)-error is minimized. Finally, four design examples of 2D low-pass, high-pass, band-pass and band-stop filters are demonstrated to justify the design accuracy in terms of passband error, stopband error, maximum passband ripple, minimum stopband attenuation and execution time. Simulation results have been compared with the other optimization algorithms, such as real-coded genetic algorithm, particle swarm optimization and gravitational search algorithm. It is observed that HPSO-GSA gives improved results for 2D FIR-FDC filter design problem. In comparison with other existing techniques of 2D FIR filter design, the proposed method shows improved design accuracy and flexibility with varying values of FDCs.     

A new method for the design of IIR filters with flat magnitude response

This paper presents a new direct design of infinite-impulse response (IIR) filters with a flat magnitude response in both passband and stopband (Butterworth filters). The design specifications are passband and stopband frequencies and passband droop and stopband attenuation. The approach is based on an allpass filter with flatness at frequency points /spl omega/=0 and /spl omega/=/spl pi/. Depending on the parity of the IIR filter order, the allpass filter is either real or complex. However, in both cases, the resulting IIR filter is real.     

基于SIW技术的毫米波滤波器研究与设计

基于基片集成波导（substrate integrated waveguide,SIW）结构设计了两款四阶的耦合带通滤波器,使用三维全波电磁场仿真软件HFSS对设计的两款滤波器进行了仿真设计和优化.由仿真结果分析得出,两款滤波器的工作频率均位于毫米波频段.第一款SIW滤波器实现了切比雪夫型响应,中心频率为20 GHz,带宽为2 GHz,通带内的插入损耗低于1.5 dB,回波损耗低于-20 dB,在阻带中对信号的衰减程度可以达到50 dB.第二款SIW滤波器实现了准椭圆函数型的响应,中心频率为29.1 GHz,带宽为300 MHz,通带内的插入损耗低于1 dB,回波损耗低于-20 dB,在通带到阻带的过渡中实现了两个陷波点.仿真结果表明,在毫米波滤波器设计中引入SIW结构,有利于优化滤波器尺寸,得到较好的滤波器性能指标,是毫米波滤波器发展的一个重要方向.     

Design of IIR digital filters in the complex domain by transforming the desired response

In this paper, we present a new design method of infinite impulse response (IIR) digital filters with quasi-equiripple absolute error in the complex domain. This method is based on solving a least squares solution iteratively. At each iteration, the desired response for the least squares approximation is transformed to have equiripple error. This algorithm is efficient because there is no need for any initial value or complex optimization algorithm. By this method, a quasi-equiripple solution is obtained very quickly with less computational complexity. Moreover, by multiplying an arbitrary weighting function on the desired responses of passband and stopband, respectively, the error at the passband and stopband can be controlled. Finally, we show some examples to validate the proposed method.     

Computer-aided design of FIR filters

A computer-aided technique for designing FIR digital filters with close to linear phase property is presented. The approach is based on a constrained optimisation problem designed to minimise the mean-square error between a desired response and the filter response over a passband of interest subject to a mean-square stopband constraint. Numerical results are presented to illustrate the performance achievable.<>     

A micropower fourth-order elliptical switched-capacitor low-pass filter

A micropower fourth-order elliptical switched-capacitor (SC) low-pass filter for biomedical applications has been designed and measured. The charge transfer error of an SC integrator using a transconductance amplifier is discussed. Also first-order noise and PSRR calculations are performed and compared with the results of simulations and measurements. The measurements show that by careful optimization of the gain bandwidth, slew rate, and gain of the amplifiers, high-performance low-power SC filters can be constructed. The cutoff frequency of the filter is 5 kHz, the ripple in the passband is 0.27 dB, and stopband rejection is 49 dB. The power consumption of the filter is 190 /spl mu/W with /spl plusmn/2.5-V power supplies. The dynamic range of the filter is 75 dB, and the total harmonic distortion over the whole passband range is below 0.25% for a 2-V/SUB pp/ input signal. The PSRR of the filter is above 40 dB at frequencies below 3 kHz.     

An improved method for the design of quadrature mirror filter banks using the Levenberg–Marquardt optimization

This paper presents an improved and efficient method for the design of a two-channel quadrature mirror filter (QMF) bank. In the proposed method, the filter bank design problem is formulated as a low-pass prototype filter design problem, whose responses in the passband and stopband are ideal and their filter coefficients value at quadrature frequency is 0.707. A new method is developed for the design of a low-pass prototype filter which minimizes the objective function by optimizing the filter taps weights using the Levenberg–Marquardt method. When compared with other existing algorithms, it significantly reduces peak reconstruction error (PRE), error in passband, stopband and transition band. Several design examples are included to show the increased efficiency and the flexibility of the proposed method over existing methods. An application of this method is considered in the area of subband coding of the ultrasound images.